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Claude-3 Sonnet on K.NBT.A.1

Common Core Standard K.NBT.A.1

This standard covers the following:

Compose and decompose numbers from 11 to 19 Into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

🔗 Problem

Problem: A dolphin trainer has a total of 10 dolphins. 3 of them are mature dolphins while the rest are young dolphins. How many young dolphins does the trainer have?

Claude-3 Sonnet:

To solve this problem, we need to find the number of young dolphins the trainer has.

Given information:
- The trainer has a total of 10 dolphins.
- 3 of them are mature dolphins.

Step 1: Find the number of young dolphins.
Total number of dolphins - Number of mature dolphins = Number of young dolphins
10 - 3 = 7

Therefore, the trainer has 7 young dolphins.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Sarah had 4 candies. After her friend gave her some more, she had a total of 10 candies. How many candies did her friend give her?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of candies Sarah had initially and the total number of candies she had after her friend gave her some.

Given information:
- Sarah had 4 candies initially.
- After her friend gave her some candies, she had a total of 10 candies.

Step 1: Find the number of candies her friend gave her.
Number of candies her friend gave her = Total number of candies after - Initial number of candies
Number of candies her friend gave her = 10 - 4
Number of candies her friend gave her = 6

Therefore, Sarah's friend gave her 6 candies.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: There are 10 books put together on a shelf. If 4 of them are fantasy novels, how many of the books are science fiction novels?

Claude-3 Sonnet:

To solve this problem, we need to find the number of books that are not fantasy novels, and then assume that the remaining books are science fiction novels.

Given information:
- There are 10 books in total on the shelf.
- 4 of the books are fantasy novels.

Step 1: Find the number of books that are not fantasy novels.
Total number of books - Number of fantasy novels = Number of non-fantasy novels
10 - 4 = 6 non-fantasy novels

Step 2: Assume that the remaining non-fantasy novels are science fiction novels.
Number of science fiction novels = Number of non-fantasy novels
Number of science fiction novels = 6

Therefore, if 4 of the 10 books are fantasy novels, then the remaining 6 books are likely science fiction novels.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Billy has 10 bikes in his shop. If 3 of them are racing bikes, how many of them are mountain bikes?

Claude-3 Sonnet:

To solve this problem, we need to find the number of mountain bikes by subtracting the number of racing bikes from the total number of bikes.

Given information:
- Billy has 10 bikes in his shop.
- 3 of them are racing bikes.

Step 1: Find the number of bikes that are not racing bikes.
Total number of bikes - Number of racing bikes = Number of non-racing bikes
10 - 3 = 7 non-racing bikes

Step 2: Assume that the remaining non-racing bikes are mountain bikes.
Number of mountain bikes = Number of non-racing bikes
Number of mountain bikes = 7

Therefore, if 3 of the bikes are racing bikes, then the remaining 7 bikes are mountain bikes.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Barry the bear has some honey jars. If Barry the bear finds 10 more honey jars, he has a total of 16 honey jars. How many honey jars did Barry the bear have to begin with?

Claude-3 Sonnet:

To solve this problem, we need to find the initial number of honey jars Barry the bear had before finding the additional 10 jars.

Given information:
- After finding 10 more honey jars, Barry has a total of 16 honey jars.

Let's represent the initial number of honey jars as x.

Since Barry found 10 more honey jars, we can write the equation:
x + 10 = 16

Rearranging the equation to solve for x:
x = 16 - 10
x = 6

Therefore, Barry the bear had 6 honey jars to begin with before finding the additional 10 jars.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Brad bought 10 kg of potatoes from the store. He had previously consumed 6 kg. How many kg of potatoes does he have left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the amount of potatoes Brad bought and the amount he had previously consumed.

Given information:
- Brad bought 10 kg of potatoes from the store.
- Brad had previously consumed 6 kg of potatoes.

Step 1: Find the total amount of potatoes Brad had after buying 10 kg.
Total amount of potatoes = Amount bought + Amount previously consumed
Total amount of potatoes = 10 kg + 6 kg
Total amount of potatoes = 16 kg

Step 2: Find the amount of potatoes Brad has left by subtracting the amount he had previously consumed from the total amount.
Amount of potatoes left = Total amount of potatoes - Amount previously consumed
Amount of potatoes left = 16 kg - 6 kg
Amount of potatoes left = 10 kg

Therefore, Brad has 10 kg of potatoes left.

### Answer: 10

Expected answer: 4

Correct? No

🔗 Problem

Problem: John had 10 dollars in his wallet. After spending 9 dollars, how much money does he have left in his wallet?

Claude-3 Sonnet:

To solve this problem, we need to subtract the amount of money John spent from the initial amount he had in his wallet.

Given information:
- John had $10 in his wallet initially.
- John spent $9.

Step 1: Subtract the amount spent from the initial amount.
Initial amount - Amount spent = Amount left
$10 - $9 = $1

Therefore, after spending $9, John has $1 left in his wallet.

### Answer: $1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A building has 10 windows in total. 5 of those windows are on its upper floor. How many windows are there on the lower floor?

Claude-3 Sonnet:

To solve this problem, we need to find the number of windows on the lower floor by subtracting the number of windows on the upper floor from the total number of windows.

Given information:
- The building has a total of 10 windows.
- 5 windows are on the upper floor.

Step 1: Find the number of windows on the lower floor.
Number of windows on the lower floor = Total number of windows - Number of windows on the upper floor
Number of windows on the lower floor = 10 - 5
Number of windows on the lower floor = 5

Therefore, there are 5 windows on the lower floor of the building.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Sean wrote 17 letters. If the number of letters he wrote is equal to the number of letters he wrote yesterday plus 10, how many letters did he write yesterday?

Claude-3 Sonnet:

To solve this problem, we need to set up an equation and solve for the number of letters Sean wrote yesterday.

Given information:
- Sean wrote 17 letters.
- The number of letters he wrote is equal to the number of letters he wrote yesterday plus 10.

Let x be the number of letters Sean wrote yesterday.

According to the given information, we can write the equation:
17 = x + 10

Subtracting 10 from both sides:
17 - 10 = x + 10 - 10
7 = x

Therefore, Sean wrote 7 letters yesterday.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Joyce bought a skirt for 10 dollars and she spent some money to get it altered. The total amount she spent for the skirt, including alterations, was 18 dollars. How much did Joyce spend on the alterations?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total amount spent and the cost of the skirt.

Given information:
- Joyce bought a skirt for $10.
- The total amount she spent for the skirt, including alterations, was $18.

Step 1: Find the amount spent on alterations.
Amount spent on alterations = Total amount spent - Cost of the skirt
Amount spent on alterations = $18 - $10
Amount spent on alterations = $8

Therefore, Joyce spent $8 on the alterations.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Barry had 10 toy cars. He received some more toy cars for his birthday and now he has 16. How many toy cars did he receive for his birthday?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of toy cars Barry had initially and the number of toy cars he has after receiving the birthday gift.

Given information:
- Barry had 10 toy cars initially.
- After receiving toy cars for his birthday, he now has 16 toy cars.

Step 1: Find the number of toy cars Barry received for his birthday.
Number of toy cars received = Number of toy cars after birthday - Number of toy cars initially
Number of toy cars received = 16 - 10
Number of toy cars received = 6

Therefore, Barry received 6 toy cars for his birthday.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A ballerina has just finished a breathtaking performance and has received 10 bouquets of flowers. If we know that the ballerina received one bouquet from her coach, how many bouquets did she receive from her fans?

Claude-3 Sonnet:

To solve this problem, we need to find the number of bouquets the ballerina received from her fans by subtracting the number of bouquets she received from her coach from the total number of bouquets she received.

Given information:
- The ballerina received a total of 10 bouquets of flowers.
- The ballerina received 1 bouquet from her coach.

Step 1: Find the number of bouquets the ballerina received from her fans.
Number of bouquets from fans = Total number of bouquets - Number of bouquets from coach
Number of bouquets from fans = 10 - 1
Number of bouquets from fans = 9

Therefore, the ballerina received 9 bouquets of flowers from her fans.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: If you start with the number 6 and want to add a number n to it so that it equals 10, what is the value of n?

Claude-3 Sonnet:

To solve this problem, we need to set up an equation and solve for the unknown value of n.

Given information:
- The starting number is 6.
- We want to add a number n to 6 so that the result is 10.

We can represent this situation with the equation:
6 + n = 10

To find the value of n, we need to isolate it on one side of the equation by subtracting 6 from both sides:
6 + n - 6 = 10 - 6
n = 4

Therefore, the value of n that needs to be added to 6 to make it equal to 10 is 4.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: An elephant walked 8 miles in the morning. It walked a few more miles in the afternoon to total up its distance to 10 miles. How many miles did the elephant walk in the afternoon?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total distance walked and the distance walked in the morning.

Given information:
- The elephant walked 8 miles in the morning.
- The total distance walked by the elephant is 10 miles.

Step 1: Find the distance walked in the afternoon.
Distance walked in the afternoon = Total distance walked - Distance walked in the morning
Distance walked in the afternoon = 10 miles - 8 miles
Distance walked in the afternoon = 2 miles

Therefore, the elephant walked 2 miles in the afternoon.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A robot needs 10 units of energy to start and run for 1 hour, but to keep running for another hour, it needs additional 'w' units of energy. If the total energy required for the robot to run for 2 hours is 13 units, how many extra units of energy does it need to run for the additional hour?

Claude-3 Sonnet:

To solve this problem, we need to set up an equation based on the given information and then solve for the unknown variable 'w'.

Given information:
- The robot needs 10 units of energy to start and run for 1 hour.
- To keep running for another hour, it needs additional 'w' units of energy.
- The total energy required for the robot to run for 2 hours is 13 units.

Let's set up an equation:
Energy required for the first hour + Energy required for the second hour = Total energy required for 2 hours
10 + w = 13

Solving for 'w':
w = 13 - 10
w = 3

Therefore, the robot needs 3 extra units of energy to run for the additional hour.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: There are 19 pairs of ice skates in the shop. If 10 of them are black, how many of them are white?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of ice skates and then subtract the number of black ice skates from it to find the number of white ice skates.

Given information:
- There are 19 pairs of ice skates in the shop.
- 10 pairs of ice skates are black.

Step 1: Find the total number of ice skates.
Total number of ice skates = Number of pairs × 2 (since each pair has two skates)
Total number of ice skates = 19 × 2 = 38 ice skates

Step 2: Find the number of white ice skates.
Number of white ice skates = Total number of ice skates - Number of black ice skates
Number of white ice skates = 38 - 10 × 2 (since 10 pairs of black ice skates)
Number of white ice skates = 38 - 20 = 18 ice skates

Therefore, there are 18 white ice skates in the shop.

### Answer: 18

Expected answer: 9

Correct? No

🔗 Problem

Problem: A princess has 17 magic gemstones. She uses 10 of them to create a magical shield. How many gemstones does she have left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of gemstones the princess had initially and the number of gemstones she used to create the magical shield.

Given information:
- The princess had 17 magic gemstones initially.
- She used 10 gemstones to create a magical shield.

Step 1: Find the number of gemstones remaining after creating the magical shield.
Number of gemstones remaining = Total gemstones - Gemstones used for the shield
Number of gemstones remaining = 17 - 10
Number of gemstones remaining = 7

Therefore, the princess has 7 gemstones left after creating the magical shield.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Tim has 10 roses right now. Later, he receives 'w' more roses, totaling his count up to 11 roses. How many roses did Tim receive?

Claude-3 Sonnet:

To solve this problem, we need to find the value of 'w' that represents the number of roses Tim received.

Given information:
- Tim initially has 10 roses.
- After receiving 'w' more roses, his total count becomes 11 roses.

Let's set up an equation to represent the situation:
Initial number of roses + Roses received = Total number of roses
10 + w = 11

Rearranging the equation to find the value of 'w':
w = 11 - 10
w = 1

Therefore, Tim received 1 rose.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: There is 10 person in a house including 1 homeowner. How many guests are there in the house?

Claude-3 Sonnet:

To solve this problem, we need to find the number of people in the house excluding the homeowner.

Given information:
- There are 10 people in the house.
- One of them is the homeowner.

Step 1: Find the number of people excluding the homeowner.
Number of people excluding the homeowner = Total number of people - Number of homeowners
Number of people excluding the homeowner = 10 - 1 = 9

Therefore, there are 9 guests in the house.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Judy has 19 marshmallows in her bag. She had 10 marshmallows initially and then added some more. How many marshmallows did she add in her bag?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the final number of marshmallows and the initial number of marshmallows.

Given information:
- Judy initially had 10 marshmallows.
- Judy now has 19 marshmallows in her bag.

Step 1: Find the number of marshmallows Judy added to her bag.
Number of marshmallows added = Final number of marshmallows - Initial number of marshmallows
Number of marshmallows added = 19 - 10
Number of marshmallows added = 9

Therefore, Judy added 9 marshmallows to her bag.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: The zoo has 10 monkeys in total. If 9 of them are brown, how many of the monkeys are not brown?

Claude-3 Sonnet:

To solve this problem, we need to find the number of monkeys that are not brown.

Given information:
- The zoo has a total of 10 monkeys.
- 9 of the monkeys are brown.

Since there are 10 monkeys in total, and 9 of them are brown, the remaining number of monkeys that are not brown can be found by subtracting 9 from 10.

Number of monkeys that are not brown = Total number of monkeys - Number of brown monkeys
Number of monkeys that are not brown = 10 - 9
Number of monkeys that are not brown = 1

Therefore, there is 1 monkey that is not brown.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A jeweler has 10 rings on display. He later adds h more rings to his display and the total number of rings becomes 18. How many rings did the jeweler add?

Claude-3 Sonnet:

To solve this problem, we need to find the value of h, which represents the number of rings the jeweler added to the display.

Given information:
- Initially, the jeweler had 10 rings on display.
- After adding h more rings, the total number of rings became 18.

Let's represent the initial number of rings as x and the final number of rings as y.

We know that:
x = 10 (initial number of rings)
y = 18 (final number of rings after adding h more rings)

We can write an equation to represent the relationship between x, y, and h:
y = x + h

Substituting the given values, we get:
18 = 10 + h
h = 18 - 10
h = 8

Therefore, the jeweler added 8 rings to the display.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A snowman requires 10 lbs of snow for its bottom half. However, the half was initially built with 9 lbs and then more snow was added. How much additional snow was added to the bottom half of the snowman?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the required amount of snow for the bottom half and the initial amount of snow used.

Given information:
- The bottom half of the snowman requires 10 lbs of snow.
- The bottom half was initially built with 9 lbs of snow.

Step 1: Find the difference between the required amount of snow and the initial amount of snow.
Required amount of snow - Initial amount of snow = Additional snow needed
10 lbs - 9 lbs = 1 lb

Therefore, 1 lb of additional snow was added to the bottom half of the snowman.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A wind speed increases by 3 miles per hour from the morning to the afternoon. If the wind speed in the afternoon is 10 miles per hour, what was the wind speed in the morning?

Claude-3 Sonnet:

To solve this problem, we need to work backward from the given information.

Given information:
- The wind speed increases by 3 miles per hour from the morning to the afternoon.
- The wind speed in the afternoon is 10 miles per hour.

Let's represent the wind speed in the morning as x.

Since the wind speed increases by 3 miles per hour, we can write the equation:
x + 3 = 10

Solving for x:
x + 3 = 10
x = 10 - 3
x = 7

Therefore, the wind speed in the morning was 7 miles per hour.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Jonny had some candies with him. Then his mom gave him 10 more candies. Now, Jonny has a total of 14 candies. How many candies did Jonny initially have?

Claude-3 Sonnet:

To solve this problem, we need to find the number of candies Jonny initially had before his mom gave him 10 more candies.

Given information:
- Jonny's mom gave him 10 more candies.
- After receiving the additional candies, Jonny has a total of 14 candies.

Let's represent the number of candies Jonny initially had as x.

We know that the total number of candies Jonny has after receiving the additional candies is the sum of the initial number of candies and the additional candies.

Total number of candies = Initial number of candies + Additional candies
14 = x + 10

Rearranging the equation, we get:
x = 14 - 10
x = 4

Therefore, Jonny initially had 4 candies before his mom gave him 10 more candies.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A building has 10 windows in total. If 5 of these are on the ground floor, how many windows are there on the other floors?

Claude-3 Sonnet:

To solve this problem, we need to find the number of windows on the floors other than the ground floor.

Given information:
- The building has a total of 10 windows.
- 5 windows are on the ground floor.

Step 1: Find the number of windows on the floors other than the ground floor.
Total number of windows - Number of windows on the ground floor = Number of windows on other floors
10 - 5 = 5

Therefore, there are 5 windows on the floors other than the ground floor.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A constellation has 10 stars. If the total number of stars in the constellation is 15, then how many more stars were added to it?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of stars in the constellation and the initial number of stars.

Given information:
- The constellation initially had 10 stars.
- The total number of stars in the constellation is now 15.

Step 1: Find the difference between the total number of stars and the initial number of stars.
Total number of stars - Initial number of stars = Number of stars added
15 - 10 = 5

Therefore, 5 more stars were added to the constellation.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Max has 4 scooters. His friend lends him some more and now Max has 10 scooters. How many scooters did his friend lend him?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of scooters Max had initially and the total number of scooters he has after his friend lent him some.

Given information:
- Max initially had 4 scooters.
- After his friend lent him some scooters, Max has a total of 10 scooters.

Step 1: Find the number of scooters Max's friend lent him.
Number of scooters lent by Max's friend = Total number of scooters Max has now - Initial number of scooters Max had
Number of scooters lent by Max's friend = 10 - 4
Number of scooters lent by Max's friend = 6

Therefore, Max's friend lent him 6 scooters.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Sam has a piano with 9 working keys. But his piano isn't complete and needs some additional keys. If a complete piano has 10 keys, how many additional keys does Sam's piano need?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of keys in a complete piano and the number of working keys in Sam's piano.

Given information:
- Sam's piano has 9 working keys.
- A complete piano has 10 keys.

Step 1: Find the number of additional keys needed.
Number of additional keys needed = Number of keys in a complete piano - Number of working keys in Sam's piano
Number of additional keys needed = 10 - 9
Number of additional keys needed = 1

Therefore, Sam's piano needs 1 additional key to be complete.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A room initially had 10 chairs. After adding some more, the total count lifts to 11 chairs. How many chairs were added?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of chairs and the final number of chairs.

Given information:
- The room initially had 10 chairs.
- After adding some more chairs, the total count became 11 chairs.

Step 1: Find the number of chairs added.
Number of chairs added = Final number of chairs - Initial number of chairs
Number of chairs added = 11 - 10
Number of chairs added = 1

Therefore, 1 chair was added to the room.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A farmer has 12 chickens on his farm. He brought 10 from the market but the rest were hatched on the farm. How many chickens were hatched on the farm?

Claude-3 Sonnet:

To solve this problem, we need to find the number of chickens that were hatched on the farm.

Given information:
- The farmer has 12 chickens on his farm.
- He brought 10 chickens from the market.

Since the total number of chickens on the farm is 12, and he brought 10 from the market, the remaining chickens must have been hatched on the farm.

To find the number of chickens hatched on the farm, we subtract the number of chickens brought from the market from the total number of chickens on the farm.

Number of chickens hatched on the farm = Total chickens on the farm - Chickens brought from the market
Number of chickens hatched on the farm = 12 - 10
Number of chickens hatched on the farm = 2

Therefore, 2 chickens were hatched on the farm.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: At a farm, there are 19 geese in total. In the morning 10 geese were seen at the pond. How many more geese arrived at the pond by the end of the day to make the total number 19?

Claude-3 Sonnet:

To solve this problem, we need to find the number of geese that were not at the pond in the morning and then subtract it from the total number of geese to find how many more geese arrived at the pond by the end of the day.

Given information:
- There are 19 geese in total at the farm.
- In the morning, 10 geese were seen at the pond.

Step 1: Find the number of geese that were not at the pond in the morning.
Total geese - Geese at the pond in the morning = Geese not at the pond in the morning
19 - 10 = 9 geese

Step 2: Find the number of geese that arrived at the pond by the end of the day.
Total geese - Geese at the pond in the morning = Geese that arrived at the pond by the end of the day
19 - 10 = 9 geese

Therefore, 9 more geese arrived at the pond by the end of the day to make the total number 19.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A turtle walks a total of 10 feet every morning. If today it started 8 feet ahead of its usual starting position, how far did it walk from that position?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance the turtle walked from its new starting position.

Given information:
- The turtle walks a total of 10 feet every morning.
- Today, the turtle started 8 feet ahead of its usual starting position.

Since the turtle started 8 feet ahead of its usual starting position, it means that it walked an additional 8 feet before starting its regular 10-foot walk.

Therefore, the total distance the turtle walked from its new starting position is the sum of the additional 8 feet and the regular 10-foot walk.

Total distance walked from the new starting position = Additional distance walked + Regular distance walked
Total distance walked from the new starting position = 8 feet + 10 feet
Total distance walked from the new starting position = 18 feet

### Answer: 18

Expected answer: 2

Correct? No

🔗 Problem

Problem: In a game of scrabble, Jane has 10 letters. She needs 16 letters to spell out the phrase she has planned to get maximum points. How many more letters does she need?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of letters Jane needs and the number of letters she currently has.

Given information:
- Jane has 10 letters.
- Jane needs 16 letters to spell out the phrase she has planned.

Step 1: Find the difference between the number of letters needed and the number of letters Jane has.
Number of letters needed - Number of letters Jane has = Number of additional letters needed
16 letters - 10 letters = 6 letters

Therefore, Jane needs 6 more letters to spell out the phrase she has planned to get maximum points.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: James has some letters in his mail box. After receiving 7 more letters, he finds that he has a total of 10 letters. How many letters were there in James' mailbox originally?

Claude-3 Sonnet:

To solve this problem, we need to find the number of letters that were originally in James' mailbox before he received the additional 7 letters.

Given information:
- James received 7 more letters.
- After receiving the 7 letters, he had a total of 10 letters.

Let's represent the number of letters originally in James' mailbox as x.

We know that the total number of letters after receiving the 7 letters is 10.
So, we can write the equation:
x + 7 = 10

Rearranging the equation to solve for x:
x = 10 - 7
x = 3

Therefore, there were originally 3 letters in James' mailbox before he received the additional 7 letters.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A glasses store originally had 10 glasses on display. By the end of the day, the store had 17 glasses on display. How many glasses were added to the display throughout the day?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of glasses on display at the end of the day and the number of glasses originally on display.

Given information:
- The store originally had 10 glasses on display.
- At the end of the day, the store had 17 glasses on display.

Step 1: Find the difference between the number of glasses at the end of the day and the original number of glasses.
Number of glasses added = Number of glasses at the end of the day - Original number of glasses
Number of glasses added = 17 - 10
Number of glasses added = 7

Therefore, 7 glasses were added to the display throughout the day.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A hotel room initially has 13 towels. After some guests leave, there are now 10 remaining. How many towels had the guest taken with them when they left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of towels and the remaining number of towels.

Given information:
- The hotel room initially had 13 towels.
- After some guests left, there were 10 towels remaining.

Step 1: Find the number of towels taken by the guests.
Number of towels taken = Initial number of towels - Remaining number of towels
Number of towels taken = 13 - 10
Number of towels taken = 3

Therefore, the guests took 3 towels with them when they left.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Jane keeps her rings in a jewelry box. If she has 15 rings in total and she had already placed 10 rings in the box, how many more rings does she need to put in the box?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of rings Jane has and the number of rings she has already placed in the box.

Given information:
- Jane has a total of 15 rings.
- Jane has already placed 10 rings in the jewelry box.

Step 1: Find the number of rings that are not in the jewelry box.
Total number of rings - Number of rings in the box = Number of rings not in the box
15 - 10 = 5 rings

Therefore, Jane needs to put 5 more rings in the jewelry box to have all her rings in the box.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John has 10 pillows on his bed. He buys some more and after adding them, he has 11 pillows in total on his bed. How many pillows did John buy?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of pillows and the final number of pillows.

Given information:
- John initially had 10 pillows on his bed.
- After buying more pillows, he has a total of 11 pillows on his bed.

Let's represent the number of pillows John bought as x.

Initial number of pillows + Number of pillows bought = Final number of pillows
10 + x = 11

Solving for x:
x = 11 - 10
x = 1

Therefore, John bought 1 pillow.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: An alien has 10 eyes but 2 of them got damaged in a battle. How many eyes does the alien have left now?

Claude-3 Sonnet:

To solve this problem, we need to subtract the number of damaged eyes from the total number of eyes the alien initially had.

Given information:
- The alien has 10 eyes.
- 2 of the alien's eyes got damaged in a battle.

Step 1: Find the number of eyes that are not damaged.
Number of eyes not damaged = Total number of eyes - Number of damaged eyes
Number of eyes not damaged = 10 - 2
Number of eyes not damaged = 8

Therefore, the alien has 8 eyes left now.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Henry had a certain number of erasers. He then bought 10 more erasers from a store. Now, he has 18 erasers in total. How many erasers did Henry have initially?

Claude-3 Sonnet:

To solve this problem, we need to find the initial number of erasers Henry had before buying the additional 10 erasers.

Given information:
- Henry bought 10 more erasers from the store.
- After buying the additional erasers, he has a total of 18 erasers.

Let's represent the initial number of erasers Henry had as x.

Initial number of erasers + Additional erasers bought = Total number of erasers
x + 10 = 18

Rearranging the equation to find x:
x = 18 - 10
x = 8

Therefore, Henry initially had 8 erasers before buying the additional 10 erasers.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Liam had 10 pairs of pants. He donated 6 pairs, and was left with the rest. How many pairs of pants did he keep?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pairs of pants Liam had left after donating 6 pairs.

Given information:
- Liam had 10 pairs of pants initially.
- Liam donated 6 pairs of pants.

Step 1: Find the number of pairs of pants Liam had left after donating.
Number of pairs of pants left = Initial number of pairs of pants - Number of pairs of pants donated
Number of pairs of pants left = 10 - 6
Number of pairs of pants left = 4 pairs

Therefore, Liam kept 4 pairs of pants after donating 6 pairs.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A scientist sees 12 birds with his binoculars. He first counted 10 in one tree and then noticed the rest on another branch. How many birds were on the other branch?

Claude-3 Sonnet:

To solve this problem, we need to find the number of birds on the other branch by subtracting the number of birds in the first tree from the total number of birds.

Given information:
- The scientist saw a total of 12 birds with his binoculars.
- He counted 10 birds in one tree.

Step 1: Find the number of birds on the other branch.
Total number of birds - Number of birds in the first tree = Number of birds on the other branch
12 - 10 = 2

Therefore, there were 2 birds on the other branch.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a sandbox, there are 10 toys buried. When a child stopped playing, it was discovered that there were actually 18 toys. How many toys were missed out or not noticed by the child while playing?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of toys and the number of toys initially buried in the sandbox.

Given information:
- Initially, there were 10 toys buried in the sandbox.
- After the child stopped playing, it was discovered that there were 18 toys in total.

Step 1: Find the number of toys missed or not noticed by the child.
Number of toys missed or not noticed = Total number of toys - Number of toys initially buried
Number of toys missed or not noticed = 18 - 10
Number of toys missed or not noticed = 8

Therefore, the child missed or did not notice 8 toys while playing in the sandbox.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A particular model of a door is installed in 10 rooms of a hotel. If there are 17 rooms with this type of door installed in total, how many more rooms have the same door installed?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of rooms with the particular model of door installed and the number of rooms already mentioned.

Given information:
- A particular model of door is installed in 10 rooms of a hotel.
- There are 17 rooms with this type of door installed in total.

Step 1: Find the number of rooms with the same door installed that are not mentioned.
Number of rooms with the same door installed but not mentioned = Total rooms with the same door - Rooms already mentioned
Number of rooms with the same door installed but not mentioned = 17 - 10
Number of rooms with the same door installed but not mentioned = 7

Therefore, 7 more rooms have the same door installed.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A dolphin trainer trains 10 dolphins. He then decides to train some more and ends up with 12 trained dolphins in total. How many additional dolphins did he train?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of trained dolphins and the final number of trained dolphins.

Given information:
- The dolphin trainer initially trained 10 dolphins.
- The final number of trained dolphins is 12.

Step 1: Find the number of additional dolphins trained.
Number of additional dolphins trained = Final number of trained dolphins - Initial number of trained dolphins
Number of additional dolphins trained = 12 - 10
Number of additional dolphins trained = 2

Therefore, the dolphin trainer trained 2 additional dolphins.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Tim had 10 scoops of ice cream. He decided to add some more scoops to his ice cream sundae to make it 11 scoops in total. How many additional scoops of ice cream did he add?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of scoops and the desired total number of scoops.

Given information:
- Tim initially had 10 scoops of ice cream.
- Tim wants to have a total of 11 scoops in his ice cream sundae.

Step 1: Find the number of additional scoops needed.
Number of additional scoops = Desired total number of scoops - Initial number of scoops
Number of additional scoops = 11 - 10
Number of additional scoops = 1

Therefore, Tim added 1 additional scoop of ice cream to make his ice cream sundae have a total of 11 scoops.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A slide in the park is 12 feet tall. If the top part measures 10 feet, what is the length of the lower section of the slide?

Claude-3 Sonnet:

To solve this problem, we need to find the length of the lower section of the slide, given the total height of the slide and the length of the top part.

Given information:
- The slide in the park is 12 feet tall.
- The top part of the slide measures 10 feet.

We can represent the slide as a right triangle, where the total height of the slide is the hypotenuse, and the top part and the lower section are the other two sides.

Using the Pythagorean theorem, we can find the length of the lower section.

Let's call the length of the lower section x.

According to the Pythagorean theorem:
(Hypotenuse)^2 = (Side 1)^2 + (Side 2)^2
(12)^2 = (10)^2 + x^2
144 = 100 + x^2
x^2 = 144 - 100
x^2 = 44
x = √44
x = 6.63 feet (approximately)

Therefore, the length of the lower section of the slide is approximately 6.63 feet.

### Answer: 6.63

Expected answer: 2

Correct? No

🔗 Problem

Problem: A marshmallow package usually contains 10 pieces. However, after sharing some with her friends, Lila only has 3 marshmallows left. How many marshmallows did she share with her friends?

Claude-3 Sonnet:

To solve this problem, we need to find the number of marshmallows Lila had initially and then subtract the number of marshmallows she has left.

Given information:
- A marshmallow package contains 10 pieces.
- Lila has 3 marshmallows left after sharing with her friends.

Step 1: Find the number of marshmallows Lila had initially.
Number of marshmallows in a package = 10

Step 2: Find the number of marshmallows Lila shared with her friends.
Number of marshmallows shared = Number of marshmallows initially - Number of marshmallows left
Number of marshmallows shared = 10 - 3
Number of marshmallows shared = 7

Therefore, Lila shared 7 marshmallows with her friends.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: John has a guitar with 10 strings. Some of the strings broke, but you know that being left with (e + 6) strings meant the guitar still had 10 strings. What is the value of e, i.e., how many strings were broken?

Claude-3 Sonnet:

To solve this problem, we need to find the value of e that satisfies the given condition.

Given information:
- John's guitar has 10 strings.
- After some strings broke, the guitar was left with (e + 6) strings.
- The guitar still had 10 strings after some strings broke.

We can set up an equation to represent the condition:
e + 6 = 10

Subtracting 6 from both sides:
e = 10 - 6
e = 4

Therefore, the value of e is 4, which means that 4 strings were broken.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In the first round of a game, Jacob scored 4 points. At the end of this round, his total points scored was 10. How many points did he score in the second round of the game?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between Jacob's total points scored and the points he scored in the first round.

Given information:
- Jacob scored 4 points in the first round.
- At the end of the first round, his total points scored was 10.

Step 1: Find the points scored in the second round.
Points scored in the second round = Total points scored - Points scored in the first round
Points scored in the second round = 10 - 4
Points scored in the second round = 6

Therefore, Jacob scored 6 points in the second round of the game.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Tommy has 10 balloons, but 9 of them flew away. How many balloons does he have left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of balloons Tommy had initially and the number of balloons that flew away.

Given information:
- Tommy had 10 balloons initially.
- 9 balloons flew away.

Step 1: Find the number of balloons that remained with Tommy.
Number of balloons remaining = Total balloons - Balloons that flew away
Number of balloons remaining = 10 - 9
Number of balloons remaining = 1

Therefore, Tommy has 1 balloon left.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a marine park, the number of dolphins increased by 1 and the total number of dolphins became 10. How many dolphins were there originally in the park?

Claude-3 Sonnet:

To solve this problem, we need to find the original number of dolphins in the park before the increase.

Given information:
- The number of dolphins increased by 1.
- After the increase, the total number of dolphins became 10.

Let's represent the original number of dolphins as x.

Since the number of dolphins increased by 1, we can write the equation:
x + 1 = 10

Solving for x:
x + 1 = 10
x = 10 - 1
x = 9

Therefore, there were originally 9 dolphins in the park before the increase.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A pirate buried a treasure of gold coins in an island. He buried 'd' gold coins and then buried 5 more coins the next day. If the total number of buried coins is 10, how many coins did the pirate bury the first day?

Claude-3 Sonnet:

To solve this problem, we need to set up an equation using the given information and then solve for the unknown variable.

Given information:
- The pirate buried 'd' gold coins on the first day.
- The pirate buried 5 more coins on the next day.
- The total number of buried coins is 10.

Let's represent the number of coins buried on the first day as 'd'.

Step 1: Set up the equation.
Number of coins buried on the first day + Number of coins buried on the next day = Total number of buried coins
d + 5 = 10

Step 2: Solve the equation for 'd'.
d + 5 = 10
d = 10 - 5
d = 5

Therefore, the pirate buried 5 gold coins on the first day.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A firefighter had to climb 10 flights of stairs to put out the fire. If he already climbed 8 floors, how many more floors does he have left to climb?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of floors and the number of floors already climbed.

Given information:
- The firefighter had to climb 10 flights of stairs.
- The firefighter has already climbed 8 floors.

Step 1: Find the number of floors remaining to be climbed.
Number of floors remaining = Total number of floors - Number of floors already climbed
Number of floors remaining = 10 - 8
Number of floors remaining = 2

Therefore, the firefighter has 2 more floors left to climb.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A dragon had 10 scales. But it lost some and now it has 8 scales left. How many scales did the dragon lose?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of scales and the remaining number of scales.

Given information:
- The dragon initially had 10 scales.
- The dragon now has 8 scales left.

Step 1: Find the number of scales the dragon lost.
Number of scales lost = Initial number of scales - Remaining number of scales
Number of scales lost = 10 - 8
Number of scales lost = 2

Therefore, the dragon lost 2 scales.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A florist has 18 roses in a vase. If she had added 10 roses to what she originally had, how many roses did she have to start with?

Claude-3 Sonnet:

To solve this problem, we need to find the initial number of roses the florist had before adding 10 roses.

Given information:
- The florist has 18 roses in the vase after adding some roses.
- The florist added 10 roses to the initial number of roses.

Let's represent the initial number of roses as x.

After adding 10 roses, the total number of roses became 18.
x + 10 = 18

Rearranging the equation to find x:
x = 18 - 10
x = 8

Therefore, the florist had 8 roses to start with before adding 10 roses.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: On his map, John sees that the distance from his house to the park is 10 miles. If the total distance from his house to the movie theater is 17 miles, how far away is the park from the movie theater?

Claude-3 Sonnet:

To solve this problem, we need to find the distance between the park and the movie theater using the given information.

Given information:
- The distance from John's house to the park is 10 miles.
- The total distance from John's house to the movie theater is 17 miles.

Let's represent the distance between the park and the movie theater as x.

According to the triangle inequality in geometry, the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side.

In this case, we can represent the distances as follows:
Distance from John's house to the park + Distance from the park to the movie theater ≥ Distance from John's house to the movie theater
10 + x ≥ 17

Rearranging the inequality, we get:
x ≥ 17 - 10
x ≥ 7

Therefore, the minimum distance between the park and the movie theater is 7 miles.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: John has 10 keys in total. If 8 of these are house keys, how many of his keys are not house keys?

Claude-3 Sonnet:

To solve this problem, we need to find the number of keys that are not house keys.

Given information:
- John has a total of 10 keys.
- 8 of these keys are house keys.

To find the number of keys that are not house keys, we need to subtract the number of house keys from the total number of keys.

Number of keys that are not house keys = Total number of keys - Number of house keys
Number of keys that are not house keys = 10 - 8
Number of keys that are not house keys = 2

Therefore, 2 of John's keys are not house keys.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: You already have a collection of some crayons. You found one more and now you have a total of 10 crayons. How many crayons did you have before you found the extra one?

Claude-3 Sonnet:

To solve this problem, we need to find the number of crayons you had initially before finding the extra one.

Given information:
- You had some crayons initially.
- After finding one more crayon, you now have a total of 10 crayons.

Let's represent the initial number of crayons as x.

Since you found one more crayon, and now you have a total of 10 crayons, we can write the equation:

x + 1 = 10

Rearranging the equation to find x:
x = 10 - 1
x = 9

Therefore, you had 9 crayons before you found the extra one.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: At a party, there were 10 people initially present. Then, some more people arrived and the total number of people at the party increased to 11. How many extra people arrived at the party?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of people and the final number of people at the party.

Given information:
- Initially, there were 10 people at the party.
- After some more people arrived, the total number of people at the party increased to 11.

Step 1: Find the difference between the final number of people and the initial number of people.
Final number of people - Initial number of people = Number of extra people arrived
11 - 10 = 1

Therefore, 1 extra person arrived at the party.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A dragon hoarded a fresh treasure of 11 gold coins in its lair. If it already had 10 gold coins, how many new coins did the dragon add to his hoard?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of gold coins the dragon has after adding the new treasure and the number of gold coins it had initially.

Given information:
- The dragon initially had 10 gold coins.
- The dragon added a fresh treasure of 11 gold coins to its lair.

Step 1: Find the total number of gold coins the dragon has after adding the new treasure.
Total number of gold coins = Initial number of gold coins + New treasure of gold coins
Total number of gold coins = 10 + 11 = 21 gold coins

Step 2: Find the number of new coins added to the hoard.
Number of new coins added = Total number of gold coins - Initial number of gold coins
Number of new coins added = 21 - 10 = 11 gold coins

Therefore, the dragon added 11 new gold coins to its hoard.

### Answer: 11

Expected answer: 1

Correct? No

🔗 Problem

Problem: A bunch of grapes has 10 fruits. If we add 'u' more grapes to it, the total number of grapes equals 16. How many grapes do we need to add to the bunch initially containing 10 grapes to make it 16?

Claude-3 Sonnet:

To solve this problem, we need to find the value of 'u' that satisfies the given condition.

Given information:
- The initial bunch of grapes has 10 fruits.
- After adding 'u' more grapes, the total number of grapes equals 16.

Let's represent the unknown quantity 'u' as the number of grapes added.

Initial number of grapes + Number of grapes added = Total number of grapes
10 + u = 16

Rearranging the equation to find the value of 'u':
u = 16 - 10
u = 6

Therefore, we need to add 6 grapes to the bunch initially containing 10 grapes to make it 16.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A dairy farmer gathers milk from his cows. He already has 10 liters of milk and collects some more. After gathering the additional amount, he ends up with 12 liters of milk in total. How much milk did he collect this time?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the final amount of milk and the initial amount of milk.

Given information:
- The farmer already has 10 liters of milk.
- After collecting additional milk, he ends up with 12 liters of milk in total.

Let's represent the additional amount of milk collected as x.

Initial amount of milk + Additional amount of milk collected = Final amount of milk
10 liters + x = 12 liters

Subtracting 10 from both sides:
x = 12 liters - 10 liters
x = 2 liters

Therefore, the farmer collected 2 liters of milk this time.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a video game, a player needs 10 coins to unlock a special item. The player already has 9 coins. How many more coins does the player need to unlock the item?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of coins required to unlock the item and the number of coins the player already has.

Given information:
- The player needs 10 coins to unlock a special item.
- The player already has 9 coins.

Step 1: Find the number of coins needed to unlock the item.
Number of coins needed to unlock the item = 10 coins

Step 2: Find the number of coins the player still needs.
Number of coins the player still needs = Number of coins needed to unlock the item - Number of coins the player already has
Number of coins the player still needs = 10 coins - 9 coins
Number of coins the player still needs = 1 coin

Therefore, the player needs 1 more coin to unlock the special item.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Samantha has a total of 11 books. If she had 10 books and then gets a few more as a gift, how many books did she receive as a gift?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of books Samantha has and the number of books she had initially.

Given information:
- Samantha has a total of 11 books.
- Initially, she had 10 books.

Step 1: Find the number of books Samantha received as a gift.
Number of books received as a gift = Total number of books - Initial number of books
Number of books received as a gift = 11 - 10
Number of books received as a gift = 1

Therefore, Samantha received 1 book as a gift.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: John has 18 tubes of toothpaste in total. If he bought 10 of those tubes last week, how many did he have before his purchase?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tubes of toothpaste John had before his purchase.

Given information:
- John has a total of 18 tubes of toothpaste.
- He bought 10 tubes of toothpaste last week.

To find the number of tubes he had before his purchase, we need to subtract the number of tubes he bought from the total number of tubes he has.

Number of tubes before the purchase = Total number of tubes - Number of tubes bought
Number of tubes before the purchase = 18 - 10
Number of tubes before the purchase = 8

Therefore, John had 8 tubes of toothpaste before his purchase.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a grocery shop, there are some cucumbers on a shelf. If 10 more cucumbers are added to the shelf, there will be a total of 15 cucumbers. How many cucumbers were originally on the shelf before the addition?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cucumbers that were originally on the shelf before the addition of 10 more cucumbers.

Given information:
- After adding 10 more cucumbers, there will be a total of 15 cucumbers on the shelf.

Let's represent the original number of cucumbers on the shelf as x.

We know that the total number of cucumbers after adding 10 more is 15.
So, we can write the equation:
x + 10 = 15

Rearranging the equation to find x:
x = 15 - 10
x = 5

Therefore, there were originally 5 cucumbers on the shelf before the addition of 10 more cucumbers.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: In a puzzle competition, Kathy completed 10 puzzles and then continues to solve more. If her final tally for the day is 19 puzzles solved, how many more puzzles did she solve after the initial 10?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the final tally of puzzles solved and the initial number of puzzles solved.

Given information:
- Kathy initially completed 10 puzzles.
- Kathy's final tally for the day is 19 puzzles solved.

Step 1: Find the number of puzzles Kathy solved after the initial 10 puzzles.
Number of puzzles solved after the initial 10 = Final tally - Initial number of puzzles solved
Number of puzzles solved after the initial 10 = 19 - 10
Number of puzzles solved after the initial 10 = 9

Therefore, Kathy solved 9 more puzzles after the initial 10 puzzles.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Billy has 10 stuffed animals in total. If 4 of them are teddy bears, how many of the stuffed animals aren't teddy bears?

Claude-3 Sonnet:

To solve this problem, we need to find the number of stuffed animals that are not teddy bears.

Given information:
- Billy has 10 stuffed animals in total.
- 4 of them are teddy bears.

Step 1: Find the number of stuffed animals that are not teddy bears.
Number of stuffed animals that are not teddy bears = Total number of stuffed animals - Number of teddy bears
Number of stuffed animals that are not teddy bears = 10 - 4
Number of stuffed animals that are not teddy bears = 6

Therefore, 6 of Billy's stuffed animals are not teddy bears.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: There are 17 tigers in a wildlife reserve. 10 of them are adults, how many of them are cubs?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cubs in the wildlife reserve.

Given information:
- There are 17 tigers in the wildlife reserve.
- 10 of them are adults.

Since the total number of tigers is the sum of the number of adults and the number of cubs, we can find the number of cubs by subtracting the number of adults from the total number of tigers.

Number of cubs = Total number of tigers - Number of adults
Number of cubs = 17 - 10
Number of cubs = 7

Therefore, there are 7 cubs in the wildlife reserve.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A magical unicorn has an unknown number of rainbow-colored gems (let's call this number 't'). If he finds 5 more gems, he will have 10 gems in total. How many gems does the unicorn currently have?

Claude-3 Sonnet:

To solve this problem, we need to set up an equation using the given information and then solve for the unknown variable 't'.

Given information:
- Let 't' be the number of gems the unicorn currently has.
- If the unicorn finds 5 more gems, he will have 10 gems in total.

We can represent this information using an equation:
t + 5 = 10

To find the value of 't', we need to isolate it by subtracting 5 from both sides of the equation:
t + 5 - 5 = 10 - 5
t = 5

Therefore, the unicorn currently has 5 gems.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Ella is making a strawberry pie that requires 11 strawberries. She already has 10 strawberries. How many more strawberries does she need to make the pie?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of strawberries required for the pie and the number of strawberries Ella already has.

Given information:
- The strawberry pie requires 11 strawberries.
- Ella already has 10 strawberries.

Step 1: Find the number of strawberries needed to make the pie.
Number of strawberries needed = Number of strawberries required for the pie - Number of strawberries Ella already has
Number of strawberries needed = 11 - 10
Number of strawberries needed = 1

Therefore, Ella needs 1 more strawberry to make the strawberry pie.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a store, there are 10 lamps. 2 of them are floor lamps, and the rest are table lamps. How many table lamps are there in the store?

Claude-3 Sonnet:

To solve this problem, we need to find the number of table lamps in the store.

Given information:
- There are 10 lamps in the store.
- 2 of them are floor lamps.

Step 1: Find the number of table lamps.
Total number of lamps - Number of floor lamps = Number of table lamps
10 - 2 = 8

Therefore, there are 8 table lamps in the store.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A ballerina has 3 green tutus. She needs to have 10 in total for an upcoming series of performances. How many more tutus does she need to get?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of tutus the ballerina currently has and the total number of tutus she needs.

Given information:
- The ballerina has 3 green tutus.
- She needs a total of 10 tutus for an upcoming series of performances.

Step 1: Find the number of tutus she needs to get.
Number of tutus needed = Total number of tutus required - Number of tutus she currently has
Number of tutus needed = 10 - 3
Number of tutus needed = 7

Therefore, the ballerina needs to get 7 more tutus for the upcoming series of performances.

### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: The school bus stops to pick up students. Initially, it has 10 students on board. After picking up some more students, there are 12 students in total on the bus. How many students did the bus pick up?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of students on the bus and the final number of students on the bus.

Given information:
- Initially, there were 10 students on the bus.
- After picking up some more students, there are 12 students in total on the bus.

Let's represent the number of students picked up as x.

Initial number of students + Number of students picked up = Final number of students
10 + x = 12

Solving for x:
x = 12 - 10
x = 2

Therefore, the bus picked up 2 students.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A penguin lays 2 eggs in the morning and some more in the afternoon. If she laid a total of 10 eggs for the day, how many did she lay in the afternoon?

Claude-3 Sonnet:

To solve this problem, we need to find the number of eggs the penguin laid in the afternoon, given that she laid a total of 10 eggs for the day and 2 eggs in the morning.

Given information:
- The penguin laid 2 eggs in the morning.
- The penguin laid a total of 10 eggs for the day.

Step 1: Find the number of eggs laid in the afternoon.
Total eggs for the day = Eggs laid in the morning + Eggs laid in the afternoon
10 = 2 + Eggs laid in the afternoon
Eggs laid in the afternoon = 10 - 2
Eggs laid in the afternoon = 8

Therefore, the penguin laid 8 eggs in the afternoon.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: The school bus initially had 10 students. Then it stops at the next stop and several more students come on board and after that, there are 14 students on the bus. How many students came on the bus at the second stop?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of students on the bus and the final number of students after the second stop.

Given information:
- The school bus initially had 10 students.
- After the second stop, there are 14 students on the bus.

Step 1: Find the number of students who came on the bus at the second stop.
Number of students who came on the bus at the second stop = Final number of students - Initial number of students
Number of students who came on the bus at the second stop = 14 - 10
Number of students who came on the bus at the second stop = 4

Therefore, 4 students came on the bus at the second stop.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: If Billy has 12 pairs of socks and he started with 10 pairs. How many pairs of socks was he given?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of pairs of socks Billy has now and the number of pairs he started with.

Given information:
- Billy has 12 pairs of socks now.
- Billy started with 10 pairs of socks.

Step 1: Find the difference between the number of pairs of socks Billy has now and the number of pairs he started with.
Number of pairs of socks Billy was given = Number of pairs of socks he has now - Number of pairs of socks he started with
Number of pairs of socks Billy was given = 12 - 10
Number of pairs of socks Billy was given = 2 pairs

Therefore, Billy was given 2 pairs of socks.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: There are 10 doors on a corridor. One is the janitor's door and rest are room doors. How many room doors are there?

Claude-3 Sonnet:

To solve this problem, we need to find the number of doors that are not the janitor's door.

Given information:
- There are 10 doors in total on the corridor.
- One of the doors is the janitor's door.

Step 1: Find the number of doors that are not the janitor's door.
Total number of doors - Number of janitor's door = Number of room doors
10 - 1 = 9

Therefore, there are 9 room doors on the corridor.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: In a library, you found a stack of 14 books. This stack includes 10 books that are from the non-fiction section, the rest are from the fiction section. How many books from the fiction section are present in the stack?

Claude-3 Sonnet:

To solve this problem, we need to find the number of books from the fiction section in the stack.

Given information:
- There are 14 books in the stack.
- 10 books are from the non-fiction section.

Step 1: Find the number of books from the fiction section.
Total books in the stack - Books from the non-fiction section = Books from the fiction section
14 - 10 = 4

Therefore, there are 4 books from the fiction section present in the stack.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A mailman delivers 7 letters in the morning. By the end of the day, he has delivered 10 letters in total. How many letters did he deliver after the morning?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of letters delivered by the end of the day and the number of letters delivered in the morning.

Given information:
- The mailman delivered 7 letters in the morning.
- The mailman delivered a total of 10 letters by the end of the day.

Step 1: Find the number of letters delivered after the morning.
Number of letters delivered after the morning = Total letters delivered by the end of the day - Letters delivered in the morning
Number of letters delivered after the morning = 10 - 7
Number of letters delivered after the morning = 3

Therefore, the mailman delivered 3 letters after the morning.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A color palette consists of 10 colors in total. It starts with 8 base colors and some additional colors are added. If the total number of colors remains 10, how many additional colors were added to the 8 base colors palette?

Claude-3 Sonnet:

To solve this problem, we need to find the number of additional colors added to the 8 base colors to make the total number of colors 10.

Given information:
- The color palette consists of 10 colors in total.
- The palette starts with 8 base colors.

Let's represent the number of additional colors added as x.

Since the total number of colors is 10, we can write an equation:
8 + x = 10

Solving for x:
x = 10 - 8
x = 2

Therefore, 2 additional colors were added to the 8 base colors to make the total number of colors 10.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A bear ate 9 fish from the river. If the bear needs to have eaten 10 fish in a day to be full, how many more fish does the bear need to catch?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the number of fish the bear needs to be full and the number of fish it has already eaten.

Given information:
- The bear ate 9 fish from the river.
- The bear needs to eat 10 fish in a day to be full.

Step 1: Find the number of fish the bear needs to be full.
Number of fish needed to be full = 10 fish

Step 2: Find the difference between the number of fish needed to be full and the number of fish already eaten.
Number of fish needed to catch = Number of fish needed to be full - Number of fish already eaten
Number of fish needed to catch = 10 - 9
Number of fish needed to catch = 1 fish

Therefore, the bear needs to catch 1 more fish to be full.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: There are 15 kids at the playground. 10 kids are playing sandbox, the rest are sliding on the slide. How many kids are sliding on the slide?

Claude-3 Sonnet:

To solve this problem, we need to find the number of kids who are not playing in the sandbox, as they are the ones sliding on the slide.

Given information:
- There are 15 kids at the playground.
- 10 kids are playing in the sandbox.

Step 1: Find the number of kids who are not playing in the sandbox.
Total number of kids - Number of kids playing in the sandbox = Number of kids sliding on the slide
15 - 10 = 5

Therefore, 5 kids are sliding on the slide.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Jay had a total of 10 balls. Unfortunately, 9 of them got lost while he was playing. How many balls did Jay originally have?

Claude-3 Sonnet:

To solve this problem, we need to find the number of balls Jay had initially.

Given information:
- Jay had a total of 10 balls.
- 9 balls got lost while he was playing.

To find the number of balls Jay originally had, we can use the given information that he had a total of 10 balls.

Since 9 balls got lost, the remaining number of balls is 10 - 9 = 1.

Therefore, Jay originally had 10 balls.

### Answer: 10

Expected answer: 1

Correct? No

🔗 Problem

Problem: In a circus, there are 4 clowns performing in the morning. In the afternoon, some more clowns join them such that the total number of clowns performing at the circus becomes 10. Find out how many clowns joined in the afternoon?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of clowns performing in the afternoon and the number of clowns performing in the morning.

Given information:
- There are 4 clowns performing in the morning.
- The total number of clowns performing in the afternoon is 10.

Step 1: Find the number of clowns that joined in the afternoon.
Number of clowns that joined in the afternoon = Total number of clowns in the afternoon - Number of clowns in the morning
Number of clowns that joined in the afternoon = 10 - 4
Number of clowns that joined in the afternoon = 6

Therefore, 6 clowns joined in the afternoon.

### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A constellation is made up of 10 stars. If one of the stars is hidden behind the moon, how many stars are left to be seen in that constellation?

Claude-3 Sonnet:

To solve this problem, we need to find the number of stars remaining in the constellation after one star is hidden behind the moon.

Given information:
- The constellation is made up of 10 stars.
- One star is hidden behind the moon.

Step 1: Find the number of stars that are not hidden behind the moon.
Number of stars not hidden = Total number of stars - Number of stars hidden
Number of stars not hidden = 10 - 1 = 9

Therefore, there are 9 stars left to be seen in the constellation.

### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A toothpaste brand packs 10 tubes of toothpaste into each box. If a store receives 14 tubes of toothpaste, how many did not come from a full box?

Claude-3 Sonnet:

To solve this problem, we need to find out how many tubes of toothpaste came from full boxes and then subtract that number from the total number of tubes received.

Given information:
- Each box contains 10 tubes of toothpaste.
- The store received 14 tubes of toothpaste.

Step 1: Find the number of full boxes the store received.
Number of full boxes = Total tubes received / Tubes per box
Number of full boxes = 14 / 10
Number of full boxes = 1 (since we can only have whole boxes)

Step 2: Find the number of tubes that came from full boxes.
Number of tubes from full boxes = Number of full boxes × Tubes per box
Number of tubes from full boxes = 1 × 10 = 10

Step 3: Find the number of tubes that did not come from a full box.
Number of tubes not from a full box = Total tubes received - Number of tubes from full boxes
Number of tubes not from a full box = 14 - 10 = 4

Therefore, 4 tubes of toothpaste did not come from a full box.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Timmy had a certain number of toy cars. His friend gifted him 5 more, bringing the total number of toy cars to 10. How many toy cars did Timmy have initially?

Claude-3 Sonnet:

To solve this problem, we need to find the initial number of toy cars Timmy had before receiving the gift.

Given information:
- Timmy's friend gifted him 5 toy cars.
- After receiving the gift, Timmy had a total of 10 toy cars.

Let's represent the initial number of toy cars Timmy had as x.

Initial number of toy cars + Number of toy cars received as a gift = Total number of toy cars after receiving the gift
x + 5 = 10

Rearranging the equation to find x:
x = 10 - 5
x = 5

Therefore, Timmy initially had 5 toy cars before receiving the gift.

### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: At a summer beach party, there were 10 beach balls already present. Then, a few more beach balls were added and the total number became 13. How many more beach balls were added at the party?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of beach balls and the final number of beach balls.

Given information:
- Initially, there were 10 beach balls present.
- After adding more beach balls, the total number became 13.

Step 1: Find the number of beach balls added.
Number of beach balls added = Final number of beach balls - Initial number of beach balls
Number of beach balls added = 13 - 10
Number of beach balls added = 3

Therefore, 3 more beach balls were added at the party.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: James has a total of 10 hours on his watch. He watches a movie for 2 hours and spends the other time chatting online. How long in hours did James chat online?

Claude-3 Sonnet:

To solve this problem, we need to find the remaining time after James watched the movie for 2 hours, given that he had a total of 10 hours.

Given information:
- James has a total of 10 hours on his watch.
- James watched a movie for 2 hours.

Step 1: Find the remaining time after watching the movie.
Total time - Time spent watching the movie = Remaining time
10 hours - 2 hours = 8 hours

Therefore, James chatted online for 8 hours.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: There are 14 balloons at a party. If 10 balloons pop, how many balloons will be left?

Claude-3 Sonnet:

To solve this problem, we need to subtract the number of balloons that popped from the total number of balloons.

Given information:
- There are 14 balloons at the party.
- 10 balloons popped.

Step 1: Subtract the number of balloons that popped from the total number of balloons.
Number of balloons left = Total number of balloons - Number of balloons popped
Number of balloons left = 14 - 10
Number of balloons left = 4

Therefore, 4 balloons will be left after 10 balloons pop.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: John has a total of 12 beach balls. He just purchased 10 more to add to his collection. How many beach balls did he have originally?

Claude-3 Sonnet:

To solve this problem, we need to find the number of beach balls John had originally before purchasing the additional 10 beach balls.

Given information:
- John has a total of 12 beach balls after purchasing the additional 10 beach balls.
- John purchased 10 more beach balls.

Let's represent the number of beach balls John had originally as x.

We know that the total number of beach balls after purchasing the additional 10 beach balls is 12.
x + 10 = 12 (Original beach balls + Additional beach balls = Total beach balls)

Rearranging the equation to find x:
x = 12 - 10
x = 2

Therefore, John had 2 beach balls originally before purchasing the additional 10 beach balls.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Harris found 7 books in his backpack. If the total number of books he has is 10, how many books did he originally have in his backpack?

Claude-3 Sonnet:

To solve this problem, we need to find the number of books Harris originally had in his backpack before finding the additional 7 books.

Given information:
- Harris found 7 books in his backpack.
- The total number of books he has now is 10.

Let's represent the number of books he originally had in his backpack as x.

Since he found 7 additional books, we can write the equation:
x + 7 = 10

Rearranging the equation to solve for x:
x = 10 - 7
x = 3

Therefore, Harris originally had 3 books in his backpack before finding the additional 7 books.

### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: At a party, there are 9 people already present when a few more people arrive to make the total attendance 10. How many people arrived at the party?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of people present and the total attendance after the new arrivals.

Given information:
- Initially, there were 9 people present at the party.
- After some people arrived, the total attendance became 10.

Step 1: Find the number of people who arrived at the party.
Number of people who arrived = Total attendance - Initial number of people present
Number of people who arrived = 10 - 9
Number of people who arrived = 1

Therefore, 1 person arrived at the party to make the total attendance 10.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A dragon had 10 gold coins in his cave. But a brave knight came and took 8 coins. How many gold coins does the dragon have left now?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of gold coins the dragon had and the number of coins taken by the knight.

Given information:
- The dragon initially had 10 gold coins.
- The knight took 8 gold coins.

Step 1: Find the number of gold coins remaining with the dragon.
Number of gold coins remaining = Initial number of gold coins - Number of gold coins taken by the knight
Number of gold coins remaining = 10 - 8
Number of gold coins remaining = 2

Therefore, the dragon has 2 gold coins left now.

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A dolphin trainer currently has 9 dolphins and later acquires some additional ones, making the total number of dolphins in his care 10. How many dolphins did the trainer acquire?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial number of dolphins and the final number of dolphins.

Given information:
- The dolphin trainer initially had 9 dolphins.
- After acquiring additional dolphins, the total number of dolphins became 10.

Step 1: Find the number of dolphins acquired.
Number of dolphins acquired = Final number of dolphins - Initial number of dolphins
Number of dolphins acquired = 10 - 9
Number of dolphins acquired = 1

Therefore, the dolphin trainer acquired 1 additional dolphin.

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A butterfly starts her day with 6 flowers and visits r more in the afternoon to get her total daily quota of 10 flowers. How many more flowers does she need to visit in the afternoon?

Claude-3 Sonnet:

To solve this problem, we need to find the value of r, which represents the number of additional flowers the butterfly needs to visit in the afternoon to reach her daily quota of 10 flowers.

Given information:
- The butterfly starts her day with 6 flowers.
- The butterfly needs a total of 10 flowers for her daily quota.

Let's represent the number of additional flowers the butterfly needs to visit in the afternoon as r.

Since the butterfly starts with 6 flowers and needs a total of 10 flowers, we can write the equation:

6 + r = 10

Rearranging the equation, we get:

r = 10 - 6
r = 4

Therefore, the butterfly needs to visit 4 more flowers in the afternoon to reach her daily quota of 10 flowers.

### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Eli has 10 toy cars in the sandbox. If he found a total of 11 toy cars in there, how many toy cars had been buried in the sandbox that he did not initially see?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total number of toy cars in the sandbox and the number of toy cars Eli initially had.

Given information:
- Eli has 10 toy cars in the sandbox.
- Eli found a total of 11 toy cars in the sandbox.

Step 1: Find the number of toy cars that were buried in the sandbox.
Number of toy cars buried in the sandbox = Total number of toy cars found - Number of toy cars Eli initially had
Number of toy cars buried in the sandbox = 11 - 10
Number of toy cars buried in the sandbox = 1

Therefore, there was 1 toy car buried in the sandbox that Eli did not initially see.

### Answer: 1

Expected answer: 1

Correct? Yes