InternLM-Math Base 7B on 5.NF.A.2
Common Core Standard 5.NF.A.2
This standard covers the following:
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Problem: In their game, Kyle threw a ball for a distance of 18/4 yards, while Lisa threw the same ball for a distance of 19/9 yards. How many yards did the ball travel in total?
InternLM-Math Base 7B:
Reasoning: The ball traveled 18/4+19/9 = <<18/4+19/9= 8 8/9>>8 8/9 yards in total. ### Answer: 8 8/9
Expected answer: 119/18
Correct? No
Problem: Johnnie the monkey was given 18/7 bananas by the zookeeper in the morning, and 12/14 bananas in the afternoon. In total, how many bananas were given to Johnnie the monkey?
InternLM-Math Base 7B:
Reasoning: Johnnie the monkey was given 18/7+12/14 = <<18/7+12/14=1.8+0.857=2.857>>2.857 bananas in total. ### Answer: 2.857
Expected answer: 24/7
Correct? No
Problem: The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively?
InternLM-Math Base 7B:
Reasoning: The total distance of the bottom of the door from the floor is 4/19 <<4/19=0.2>>0.2 inches. The total distance of the top of the door from the ceiling is 9/10 <<9/10=0.9>>0.9 inches. ### Answer: 0.2, 0.9
Expected answer: 211/190
Correct? No
Problem: Ralph's juice recipe requires 17/3 liters of apple juice. However, he only uses 15/11 liters of it. How many liters of apple juice are left unused?
InternLM-Math Base 7B:
Reasoning: Ralph used 15/11-17/3 = <<15/11-17/3=0.8>>0.8 liters of apple juice. ### Answer: 0.8
Expected answer: 142/33
Correct? No
Problem: Billy is trying to roller skate in an empty parking lot. He initially travels 4 miles, but rolls back for 17/20 of a mile after spotting a pothole. How many miles did he ultimately travel forward?
InternLM-Math Base 7B:
Reasoning: Billy skated 4-17/20 = <<4-17/20=0.8>>0.8 miles forward. ### Answer: 0.8
Expected answer: 63/20
Correct? No
Problem: A rocket was launched into orbit. On the first day, it traveled 15/3 light years. On the second day, it traveled an additional 2/7 light years. How far has the rocket traveled in total?
InternLM-Math Base 7B:
Reasoning: The rocket traveled 15/3+2/7 = <<15/3+2/7=19/7>>19/7 light years.
Expected answer: 37/7
Correct? No
Problem: Captain Silverbeard found 10/13 of a treasure map at one shipwreck site and 16/19 of the same treasure map at another site. What is the total portion of the treasure map that he found?
InternLM-Math Base 7B:
Reasoning: 10/13+16/19= <<10/13+16/19= 8/9>>8/9 ### Answer: 8/9
Expected answer: 398/247
Correct? No
Problem: A hiker decides to walk 9/6 miles North before walking 2/16 miles East. How many miles has the hiker traveled in total?
InternLM-Math Base 7B:
Expected answer: 13/8
Correct? No
Problem: In Jessica's sandbox, she has a pile of sand that is 16/9 cubic feet. She then removes 4/13 cubic feet of sand from the sandbox. How much sand does she have left in her sandbox?
InternLM-Math Base 7B:
Reasoning: Jessica has 16/9-4/13 = <<16/9-4/13= 8/9>>8/9 cubic feet of sand left in her sandbox. ### Answer: 8/9
Expected answer: 172/117
Correct? No
Problem: Jacob has a piece of rope that is 15/12 meters long and he adds a piece that is 17/17 meters long to it. What is the total length of the rope now?
InternLM-Math Base 7B:
|
Expected answer: 9/4
Correct? No
Problem: Mark has 1 full pair of pants and another 13/4 pairs from various incomplete sets. How many pairs of pants does he have in total?
InternLM-Math Base 7B:
Reasoning: Mark has 1+13/4 = <<1+13/4= 3.25>>3.25 full pairs of pants. Mark has 3.25 full pairs of pants.
Expected answer: 17/4
Correct? Yes
Problem: Mark already had 1 full pair of pants and another 13/4 pairs from various incomplete sets. If he goes shopping and buys an additional 13/3 pairs of pants, how many pairs of pants does he have in total now?
InternLM-Math Base 7B:
Reasoning: Mark has 1+13/4+13/3 = <<1+13/4+13/3= 3.8>>3.8 full pairs of pants. Mark has 3.8 full pairs of pants.
Expected answer: 103/12
Correct? No
Problem: Instead of starting with 1 full pair of pants and another 13/4 pairs, let's say Mark originally had 1 full pair of pants and 9/4 pairs from various incomplete sets. How many pairs of pants would he then have in total?
InternLM-Math Base 7B:
Reasoning: Mark has 1+9/4 = <<1+9/4= 3.25>>3.25 full pairs of pants. Mark has 3.25 full pairs of pants.
Expected answer: 13/4
Correct? Yes
Problem: Miss Jenny stayed after school to grade papers. She spent 8/8 hours on one subject and an additional 20/19 hours on another subject. How long did she spend grading papers in total?
InternLM-Math Base 7B:
Reasoning: Miss Jenny spent 8/8+20/19 = <<8/8+20/19=8 1/19>>8 1/19 hours grading papers in total. ### Answer: 8 1/19
Expected answer: 39/19
Correct? No
Problem: A cloud was observed at a height of 12/3 kms, it later ascended by 15/12 kms. What was the resultant height of the cloud from the ground?
InternLM-Math Base 7B:
Expected answer: 21/4
Correct? No
Problem: Jack rides his scooter 3/9 of a mile to the library. After leaving, he scoots another 17/15 of a mile to his grandparents' house. How many miles does Jack ride his scooter in total?
InternLM-Math Base 7B:
|
Expected answer: 22/15
Correct? No
Problem: There are 4 logs in a pile that each burn for 1/16 of an hour. The fire burns out and Tom brings 16 twigs, each of which burns for 1/12 of an hour. What is the total burn time for the logs and twigs?
InternLM-Math Base 7B:
Reasoning: The total burn time for the 4 logs is 1/4 = <<1/4=0.25>>0.25 of an hour. The total burn time for the 16 twigs is 1 = <<1/12=0.08>>0.08 of an hour. The total burn time for the logs and twigs is 0.25+0.08 = <<0.25+0.08=0.33>>0.33 of an hour. ### Answer: 0.33
Expected answer: 19/12
Correct? No
Problem: If a ring maker uses 12/16 ounces of a silver for the base of the ring and 16/2 ounces to make the rest of the ring, how many ounces of silver did the ring maker use in total?
InternLM-Math Base 7B:
Reasoning: The ring maker used 12/16+16/2 = <<12/16+16/2=3.5>>3.5 ounces of silver in total. ### Answer: 3.5
Expected answer: 35/4
Correct? No
Problem: A farmer has an apple tree that produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. How many bushels of apples did the tree produce in total?
InternLM-Math Base 7B:
Reasoning: The tree produced 10/11+17/11 = <<10/11+17/11=27/11>>27/11 = 2 5/11 bushels in total. ### Answer: 2 5/11
Expected answer: 27/11
Correct? Yes
Problem: Now assume the farmer's first apple tree produced 10/9 bushels instead of 10/11 bushels in the morning. With the same amount of apples in the afternoon, how many bushels of apples did this tree produce in one day?
InternLM-Math Base 7B:
Reasoning: The tree produced 10/9+17/9 = <<10/9+17/9=27/9>>27/9 = 3 bushels in total. ### Answer: 3
Expected answer: 263/99
Correct? No
Problem: If Sam's binoculars increase his range of sight by 3/14 of a mile and Joe's binoculars increase his range of sight by exactly 1 mile (16/16), what is their combined range increase when they use the binoculars one after the other?
InternLM-Math Base 7B:
Reasoning: 3/14+1 = <<3/14+1=15/14>>15/14 ### Answer: 15/14
Expected answer: 17/14
Correct? No
Problem: Maria uses 15/10 yards of fabric for a section of a blanket and 9/18 more yards for another section. What is the total length of fabric Maria uses for these two sections?
InternLM-Math Base 7B:
Reasoning: Maria used 9/9+9/9 = <<9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9/9+9/9=9
Expected answer: 2
Correct? No
Problem: A turtle walks 10/5 miles forward, then walks backward 5/16 mile. How many miles has the turtle actually covered from its starting point?
InternLM-Math Base 7B:
Reasoning: The turtle's total forward progress is 10/5 = <<10/5=2>>2 miles. The turtle's total backward progress is 5/16 = <<5/16=0.3125>>0.3125 miles. The turtle's total forward and backward progress is 2+0.3125 = <<2+0.3125=2.3125>>2.3125 miles. ### Answer: 2.3125
Expected answer: 27/16
Correct? No
Problem: A painter uses 18/11 liters of blue paint and 1/8 liters of white paint to mix a shade of sky blue. How much paint in liters did he use in total?
InternLM-Math Base 7B:
Reasoning: The painter used 18/11+1/8= <<18/11+1/8= 2.5>>2.5 liters of paint in total. ### Answer: 2.5
Expected answer: 155/88
Correct? No
Problem: A computer program executed 8 tasks in 4 minutes and then executed another 20 tasks in 14 minutes. What is the total number of tasks it executed per minute?
InternLM-Math Base 7B:
Reasoning: The computer program executed 8/4 = <<8/4=2>>2 tasks per minute in the first 4 minutes. The computer program executed 20/14 = <<20/14=1 6/14>>1 6/14 = 1 0.4292 = <<1 0.4292=1.4292>>1.4292 tasks per minute in the second 14 minutes. The computer program executed 2+1.4292 = <<2+1.4292=3.4292>>3.4292 tasks per minute on average.
Expected answer: 24/7
Correct? No
Problem: At the end of a rainbow, there are pots filled with magical gold coins. One pot contains 12/13 of a pound of gold coins while another contains 3/2 pounds of gold coins. How much gold is there in total?
InternLM-Math Base 7B:
Reasoning: 12/13+3/2= <<12/13+3/2= 3 9/26>>3 9/26 ### Answer: 3 9/26
Expected answer: 63/26
Correct? No
Problem: In space, an alien named Zorg receives a video message from earth that is divided into parts. The first part of the message is 4/4 hours long, and the second part is 11/1 hour long. How long in total is the message Zorg received?
InternLM-Math Base 7B:
Reasoning: The first part of the message is 4/4 = 1 hour long. The second part of the message is 11/1 = 11 hours long. The message is 1+11 = 12 hours long in total.
Expected answer: 12
Correct? Yes
Problem: After watching the original message, Zorg receives an additional part of the message from earth that is 7/8 hours long. What is the total length of all parts of the message that Zorg received?
InternLM-Math Base 7B:
Reasoning: The first part of the message is 4/4 = 1 hour long. The second part of the message is 11/1 = 11 hours long. The third part of the message is 7/8 = 7/8 hours long. The message is 1+11+7/8 = 8 7/8 hours long in total.
Expected answer: 103/8
Correct? No
Problem: Upon reviewing the original video message, Zorg realised that the first part of the video message was actually half as long at 4/8 hours instead of 4/4. The second part of the message still remains 11/1 hour long. What is the total length of the message that Zorg has corrected?
InternLM-Math Base 7B:
Reasoning: The first part of the message is 4/8 = 1/2 hours long. The second part of the message is 11/1 = 11 hours long. The message is 1/2+11 = 11 1/2 hours long in total.
Expected answer: 23/2
Correct? Yes
Problem: In a park, 10 ducks are equally distributed among 5 ponds, implying each pond has 10 / 5 ducks. In the same park, 8 fish are distributed among 10 small pools, with each pool having 8 / 10 fish. How many animals are there in each pond and pool combined?
InternLM-Math Base 7B:
|user| Reasoning: Each pond has 2 ducks. Each pool has 8/10 = 4/5 = <<8/10=4/5>>0.8 fish.
Expected answer: 14/5
Correct? No
Problem: On a map, 15/11 inches represents the distance between Town A and Town B, and 16/15 inches represents the distance between Town B and Town C. What is the total distance between Town A and Town C on the map?
InternLM-Math Base 7B:
Reasoning: 16/15 = <<16/15=1.06>>1.06. 1.06 × 15/11 = <<1.06*15/11=1.8>>1.8. 1.8 + 15/11 = <<1.8+15/11=2.8>>2.8. ### Answer: 2.8
Expected answer: 401/165
Correct? No
Problem: A soap company produces 13/18 tons of Soap A and 4/6 tons of Soap B in a day. How many tons of soap do they produce in total each day?
InternLM-Math Base 7B:
Expected answer: 25/18
Correct? No
Problem: Mark bought a sleeping bag that was 19/2 feet long. However, he decides to cut off 13/12 feet from it to fit his height. How long is his sleeping bag now?
InternLM-Math Base 7B:
Reasoning: Mark's sleeping bag is 19/2-13/12 = <<19/2-13/12=5/3>>5/3 feet long. ### Answer: 5/3
Expected answer: 101/12
Correct? No
Problem: At the zoo, Mary feeds 6/20 pounds of food to the monkeys, and 18/15 pounds of food to the giraffes. How many pounds of food in total has she given to the monkeys and giraffes?
InternLM-Math Base 7B:
Expected answer: 3/2
Correct? No
Problem: Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now?
InternLM-Math Base 7B:
Expected answer: 88/17
Correct? No
Problem: A jeweler has 5/14 pound of silver and adds 18/19 pounds more to the supply. How many pounds of silver does the jeweler have now to make rings?
InternLM-Math Base 7B:
Reasoning: The jeweler has 5/14+18/19= <<5/14+18/19= 0.8>>0.8 pounds of silver to make rings. ### Answer: 0.8
Expected answer: 347/266
Correct? No
Problem: A turtle starts at a point and moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. How many meters is the turtle from its starting point after these two movement?
InternLM-Math Base 7B:
Reasoning: The turtle moved 11-1/9=<<11-1/9=9 8/9>>9 8/9 meters from the starting point.
Expected answer: 10
Correct? No
Problem: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, how many ounces of chocolate does she have left?
InternLM-Math Base 7B:
Reasoning: Chloe has 19/2-17/2= <<19/2-17/2=1/2>>1/2 ounces of chocolate left. ### Answer: 1/2
Expected answer: 1
Correct? No
Problem: Sammy has a backpack with a capacity of 20/9 liters. If he adds another pouch to the backpack that can hold 8/4 more liters, what will be the total capacity of his backpack?
InternLM-Math Base 7B:
Reasoning: 20/9+8/4= <<20/9+8/4= 8/3>>8/3 liters.
Expected answer: 38/9
Correct? No
Problem: Captain Hook has 11/8 ounces of gold. He finds an additional 5/5 ounces of gold on his latest treasure hunt. What is the total weight of the gold Captain Hook now has?
InternLM-Math Base 7B:
Reasoning: 11/8+5/5 = <<11/8+5/5= 8.5>>8.5 ### Answer: 8.5
Expected answer: 19/8
Correct? No
Problem: If Jake originally had 9/10 of a dollar and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?
InternLM-Math Base 7B:
Reasoning: Jake's original amount of money is 9/10 of a dollar. He received 20/15 of a dollar. 9/10 + 20/15 = <<9/10+20/15= 9*3/10*3+20*2/15*2= 27/30+40/30= 67/30>>67/30. ### Answer: 67/30
Expected answer: 67/30
Correct? Yes
Problem: Following up on the previous problem, if Jake found an additional 11/5 of a dollar on the street, how much money does he have in his wallet now?
InternLM-Math Base 7B:
Reasoning: Jake's original amount of money is 9/10 of a dollar. He received 20/15 of a dollar. 9/10 + 20/15 = <<9/10+20/15= 9*3/10*3+20*2/15*2= 27/30+40/30= 67/30>>67/30. Jake's original amount of money is 9/10 of a dollar. He received 20/15 of a dollar. 9/10 + 20/15 = <<9/10+20/15= 9*3/10*3+20*2/15*2= 27/30+40/30= 67/30>>67/30. Jake found an additional 11/5 of a dollar on the street. 67/30+11/5 = <<67/30+11*6/5*6= 67*6/30*6+11*5/5*5= 402/180+11*5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5= 402/180+55*5= 402/180+275/5=
Expected answer: 133/30
Correct? No
Problem: Following up on the original scenario, if Jake initially had 9/8 of a dollar instead of 9/10 of a dollar, and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?
InternLM-Math Base 7B:
Reasoning: Jake's original amount of money is 9/8 of a dollar. He received 20/15 of a dollar. 9/8 + 20/15 = <<9*3/8*3+20*2/15*2= 27/24+40/30= 67/24>>67/24. ### Answer: 67/24
Expected answer: 59/24
Correct? No
Problem: Paul has built the front half of a chair that measures 5/2 feet high. He also constructs the back portion of the chair that measures 20/14 feet. What is the combined height of the front and back portions of the chair that Paul has constructed?
InternLM-Math Base 7B:
Reasoning: The height of the front of the chair is 5/2 = <<5/2=2.5>>2.5 feet. The height of the back of the chair is 20/14 = <<20/14=1.4>>1.4 feet. The combined height of the two parts of the chair is 2.5+1.4 = <<2.5+1.4=3.9>>3.9 feet. ### Answer: 3.9
Expected answer: 55/14
Correct? No
Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?
InternLM-Math Base 7B:
Reasoning: John has 5-12/9 = <<5-12/9=1.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 11/3
Correct? No
Problem: Bob has a jacket that measures 14/3 meters in length. However, he finds the jacket is slightly too long for him so he decides to cut off 14/16 meter from the original length. What is the length of Bob's jacket after the alteration?
InternLM-Math Base 7B:
Reasoning: Bob's jacket is 14/3-14/16 = <<14/3-14/16= 7/8>>7/8 meters in length. ### Answer: 7/8
Expected answer: 91/24
Correct? No
Problem: Officer Max spends 2/6 part of an hour completing paperwork. Then, he spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks?
InternLM-Math Base 7B:
Reasoning: 2/6 + 14/7 = <<2/6+14/7=8/7>>8/7 ### Answer: 8/7
Expected answer: 7/3
Correct? No
Problem: John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour. What is the total time he spent watching in hours?
InternLM-Math Base 7B:
Reasoning: John watched 10/12+3/8 = <<10/12+3/8=0.8+0.375=1.175>>1.175 hours. ### Answer: 1.175
Expected answer: 29/24
Correct? No
Problem: Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish?
InternLM-Math Base 7B:
Reasoning: It takes <<5/3+10/13= 3 8/9>>3 8/9 hours to build a chair from start to finish. ### Answer: 3 8/9
Expected answer: 95/39
Correct? No
Problem: Anna has a bracelet that consists of small and large beads. The small beads are each 8/4 mm in diameter and the large beads are each 15/2 mm in diameter. If she adds a small and a large bead to her bracelet, what would be the total added diameter in mm?
InternLM-Math Base 7B:
Reasoning: 8/4 = <<8/4=2>>2, 15/2 = <<15/2=7.5>>7.5, 2+7.5 = <<2+7.5=9.5>>9.5 ### Answer: 9.5
Expected answer: 19/2
Correct? Yes
Problem: Suppose instead of the large bead of 15/2 mm diameter, Anna adds a different large bead to her bracelet that is 5/2 mm in diameter. Now, what would be the total added diameter if she adds this new large bead and the small bead to her bracelet?
InternLM-Math Base 7B:
Reasoning: 8/4 = <<8/4=2>>2, 5/2 = <<5/2=2.5>>2.5, 2+2.5 = <<2+2.5=4.5>>4.5 ### Answer: 4.5
Expected answer: 9/2
Correct? Yes
Problem: A rocket travels 11/18 light-years to an alien planet, then travels another 8/2 light-years towards a distant star. What is the total distance covered by the rocket?
InternLM-Math Base 7B:
Expected answer: 83/18
Correct? No
Problem: Johnathan needs 12/14 yards of one fabric to make a sleeping bag, and another 8/5 yards of a different fabric to create the liner. How many yards of fabric does he need in total to create his sleeping bag?
InternLM-Math Base 7B:
|
Expected answer: 86/35
Correct? No
Problem: In a forest, there are 5/4 acres of pine trees and 1/2 acre of oak trees. What is the total acreage of pine and oak trees in the forest?
InternLM-Math Base 7B:
Reasoning: The total acreage of pine and oak trees in the forest is 5/4+1/2 = <<5/4+1/2=9/4>>9/4 acres. ### Answer: 9/4
Expected answer: 7/4
Correct? No
Problem: Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt?
InternLM-Math Base 7B:
Reasoning: Jake has 12/7+2/14 = <<12/7+2/14=8/7>>8/7 of a yard of fabric. ### Answer: 8/7
Expected answer: 13/7
Correct? No
Problem: At a park, a special tree produces on average 10/4 kilograms of fruit every summer. In the winter, it loses some of its fruit, amounting to 12/20 kg. What is the difference in kilograms of the fruit from summer to winter?
InternLM-Math Base 7B:
Reasoning: The special tree produces 10/4 = <<10/4=2.5>>2.5kg of fruit in the summer. The special tree loses 12/20 = <<12/20=0.6>>0.6kg of fruit in the winter. The difference in the number of kilograms of fruit from the summer to the winter is 2.5 – 0.6 = <<2.5-0.6=1.9>>1.9kg.
Expected answer: 19/10
Correct? No
Problem: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. How long is her routine after shortening it?
InternLM-Math Base 7B:
Expected answer: 133/80
Correct? No
Problem: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers?
InternLM-Math Base 7B:
Reasoning: <<19/6=3.1666666666666667>>3.1666666666666667 kg of fertilizer for the flowers. <<17/20=0.8500000000000000>>0.8500000000000000 kg of fertilizer for the roses. 3.1666666666666667-0.8500000000000000 = <<3.1666666666666667-0.8500000000000000=2.3166666666666664>>2.3166666666666664 kg of fertilizer for the other flowers. ### Answer: 2.3166666666666664
Expected answer: 139/60
Correct? No
Problem: Scientists have discovered that the moon is slowly moving away from Earth. If the distance increases by 4/16 meters every year, and unexpectedly there was an additional increase of 20/6 meters this year, what is the total change in distance this year?
InternLM-Math Base 7B:
Reasoning: The total change in distance is 4/16+20/6 = <<4/16+20/6=8/3>>8/3 meters. ### Answer: 8/3
Expected answer: 43/12
Correct? No
Problem: Bob has 11/3 dollars in one pocket of his wallet and 12/19 dollars in another pocket. How much money does he have in total in his wallet?
InternLM-Math Base 7B:
Reasoning: Bob has 11/3+12/19 = <<11/3+12/19=3.8>>3.8 dollars in his wallet. ### Answer: 3.8
Expected answer: 245/57
Correct? No
Problem: In an ocean, a shark swims a distance of 5/5 miles in the morning and adds an additional 12/18 miles in the afternoon. How many miles in total did the shark swim that day?
InternLM-Math Base 7B:
Reasoning: The shark swam 5/5+12/18=<<5/5+12/18=1.5>>1.5 miles in total that day. ### Answer: 1.5
Expected answer: 5/3
Correct? No
Problem: Jim types 20 words in 16 seconds and Mary types 9 words in 4 seconds. How many words per second do Jim and Mary type in total?
InternLM-Math Base 7B:
Reasoning: Jim types <<20/16=1.25>>1.25 words per second. Mary types <<9/4=2.25>>2.25 words per second. Jim and Mary type 1.25+2.25 = <<1.25+2.25=3.5>>3.5 words per second in total. ### Answer: 3.5
Expected answer: 7/2
Correct? Yes
Problem: After typing together, Jim and Mary decide to slow down their pace and reduce their combined typing speed by 2 words every 11 seconds. What becomes their new combined typing speed?
InternLM-Math Base 7B:
Reasoning: The new speed is 3.5-2 = <<3.5-2=1.5>>1.5 words per second. ### Answer: 1.5
Expected answer: 73/22
Correct? No
Problem: Max rode his scooter for 9/7 miles in the morning and then 1/9 miles less in the afternoon. How many miles did he ride his scooter in the afternoon?
InternLM-Math Base 7B:
Reasoning: Max rode 9/7-1/9 = <<9/7-1/9=8/9>>8/9 miles in the afternoon. ### Answer: 8/9
Expected answer: 74/63
Correct? No
Problem: At a circus, a clown rode a unicycle for 9/8 hours. After a short break, she juggled for another 2/10 hours. How many hours in total did she perform?
InternLM-Math Base 7B:
Reasoning: The clown rode a unicycle for <<9/8=1 1/8>>1 1/8 hours, and juggled for <<2/10=2/5>>2/5 hours. The clown performed for 1 1/8 + 2/5 = <<1 1/8+2/5=1 9/20>>1 9/20 hours in total. ### Answer: 1 9/20
Expected answer: 53/40
Correct? No
Problem: If Timmy dumps 7/2 kg of sand into his sandbox and later adds another 1/2 kg, how much sand is now in his sandbox?
InternLM-Math Base 7B:
Reasoning: Timmy's sandbox is now 7/2+1/2 = <<7/2+1/2=4>>4 kg.
Expected answer: 4
Correct? Yes
Problem: Following the last scenario, if Timmy later dumps another 16/3 kg of sand into the sandbox, how much sand does the sandbox contain now?
InternLM-Math Base 7B:
Reasoning: Timmy's sandbox is now 4+16/3 = <<4+16/3=8>>8 kg.
Expected answer: 28/3
Correct? Yes
Problem: In the previous sandbox problem, if Timmy initially dumped 7/2 kg of sand into his sandbox but this time around, he decided to add only 1/20 kg of sand to it instead, how much sand is now in his sandbox?
InternLM-Math Base 7B:
Reasoning: Timmy's sandbox is now 7/2+1/20 = <<7/2+1/20=8.3>>8.3 kg.
Expected answer: 71/20
Correct? No
Problem: A wizard brewed a potion that required 18/8 ounces of moon roots and 11/7 ounces of stardust. How many ounces of ingredients did the wizard use in total to prepare the potion?
InternLM-Math Base 7B:
| |user| A farmer has 3/8 of a ton of apples. The farmer gives 3/4 of a ton of apples to a market. How many tons of apples does the farmer have left?
Expected answer: 107/28
Correct? No
Problem: An alien UFO traveled 3/10 of a mile, then immediately traveled an additional 16/20 of a mile. How many miles did the UFO travel in total?
InternLM-Math Base 7B:
|
Expected answer: 11/10
Correct? No
Problem: A chair manufacturing firm makes 4/14 of a chair every hour with one machine, and another machine makes 20/4 chairs. How many chairs are made by both machines in one hour?
InternLM-Math Base 7B:
Reasoning: The first machine makes 4/14 = <<4/14=0.285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714
Expected answer: 37/7
Correct? No
Problem: A blue shark swam for 2/4 miles and a hammerhead shark swam for 7/10 miles. How many miles did they swim together?
InternLM-Math Base 7B:
Reasoning: 2/4+7/10= <<2/4+7/10= 1 3/5>>1 3/5 ### Answer: 1 3/5
Expected answer: 6/5
Correct? No
Problem: Lisa has two milk bottles. One bottle has 8/18 gallons of milk while the other bottle has 18/8 gallons. How much milk does Lisa have in total?
InternLM-Math Base 7B:
Reasoning: 8/18 = 4/9, 18/8 = 9/4. 4/9 + 9/4 = <<4/9+9/4= 8/9+9/4= 8/9+27/4= 8/9+6+6+6+6+6= 8/9+6+6+6+6+6= 8/9+6*5= 8/9+30/9= 38/9.>>38/9 gallons of milk. ### Answer: 38/9
Expected answer: 97/36
Correct? No
Problem: A tree grows 1/10 of its height every month. This month, it additionally has grown 12/6 feet due to a fertilizer being applied. How much has the tree grown in height this month?
InternLM-Math Base 7B:
Reasoning: The tree has grown 1/10*6+12/6= <<1/10*6+12/6=3.8>>3.8 feet this month. ### Answer: 3.8
Expected answer: 21/10
Correct? No
Problem: John sets up a large tent that occupies an area of 13/11 acres. Later in the day, he decides to set up another smaller tent which occupies an area of 8/20 acres. What is the total area occupied by both tents?
InternLM-Math Base 7B:
| |assistant| Reasoning: The first tent has an area of <<13/11>>acres. The second tent has an area of 8/20 = <<8/20*11/11=8*11/20*11=88/220>>88/220 = <<88/220*11/1=88*11/220*1=88*11/220=10*11/2*2=5*11/2=5*5*11/2*2*2=5*5*11/4*4=5*5*5*11/4=5*5*5*5*11/4*5=5*5*5*5*11/20=5*5*5*5*11/20>>10/20 = <<10/20*1/1=10*1/20*1=10/20=1/2>>1/2 acres. The total area occupied by the tents is 1/2 + 13/11 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*11/1 = 1/2 + 1/2*
Expected answer: 87/55
Correct? No
Problem: Captain Jack has a treasure map that shows the treasure is at a location that is (17 / 20) km to the East and then (15 / 3) km to the North from their starting point. How far must they travel in total to reach the treasure?
InternLM-Math Base 7B:
Reasoning: 17/20 = 0.85 15/3 = 5 0.85*5 = 4.25 0.85+4.25 = 5.1 ### Answer: 5.1
Expected answer: 117/20
Correct? No
Problem: At a campfire, Sarah collected 11/20 of a pound of firewood and Alex collected 9/7 pounds. How many pounds of firewood did they collect in total?
InternLM-Math Base 7B:
Reasoning: 9/7 = <<9/7=1.28571428571428571428571428571428>>1.28571428571428571428571428571428 pounds 11/20 = <<11/20=0.55>>0.55 pounds 11/20 + 9/7 = <<11/20+9/7=1.28571428571428571428571428571428+0.55=1.83571428571428571428571428571428>>1.83571428571428571428571428571428 pounds ### Answer: 1.83571428571428571428571428571428
Expected answer: 257/140
Correct? Yes
Problem: In addition to the wood Sarah and Alex collected, another camper named Kim contributed 11 pounds of firewood. How many pounds of firewood do they now have in total?
InternLM-Math Base 7B:
Reasoning: 11/20 + 9/7 + 11 = <<11/20+9/7+11=1.83571428571428571428571428571428+1.28571428571428571428571428571428+11=16.83571428571428571428571428571428>>16.83571428571428571428571428571428 pounds ### Answer: 16.83571428571428571428571428571428
Expected answer: 1797/140
Correct? No
Problem: Instead of initially collecting 11/20 of a pound of firewood, let's say Sarah collected only half as much, so 10/20 of a pound of firewood, while Alex still collected 9/7 pounds. How many pounds of firewood did they collect in total now?
InternLM-Math Base 7B:
Reasoning: 9/7 = <<9/7=1.28571428571428571428571428571428>>1.28571428571428571428571428571428 pounds 10/20 = <<10/20=0.5>>0.5 pounds 9/7 + 10/20 = <<9/7+10/20=1.28571428571428571428571428571428+0.5=1.78571428571428571428571428571428>>1.78571428571428571428571428571428 pounds ### Answer: 1.78571428571428571428571428571428
Expected answer: 25/14
Correct? Yes
Problem: Captain Bill sailed 19/5 miles north, before changing track and sailing an additional 12/15 miles north. How many miles north did Captain Bill sail in total?
InternLM-Math Base 7B:
Reasoning: Captain Bill sailed 12/15+19/5 = <<12/15+19/5= 8.8>>8.8 miles north in total. ### Answer: 8.8
Expected answer: 23/5
Correct? No
Problem: A restaurant uses 19/17 pounds of ham and 9/4 pounds of turkey for their signature sandwich. What is the total weight of the two types of meat per sandwich?
InternLM-Math Base 7B:
Reasoning: 19/17 + 9/4 = <<19/17+9/4= 8 3/4>>8 3/4 ### Answer: 8 3/4
Expected answer: 229/68
Correct? No
Problem: Lucy has a sleeping bag that is 18/19 meter long. She got an extension for her sleeping bag which made it 8/11 meter longer. What's the total length of the sleeping bag now?
InternLM-Math Base 7B:
Expected answer: 350/209
Correct? No
Problem: Sarah pours 10/13 gallon of water into a container. Then she adds another 8/2 gallons of water into it. How many total gallons of water are there in the container now?
InternLM-Math Base 7B:
Reasoning: 10/13 + 8/2 = <<10/13+8/2=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/8=10/13+4*8/2*8=10/13+32/
Expected answer: 62/13
Correct? No
Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. How many KGs of apples does she have left?
InternLM-Math Base 7B:
Reasoning: Mandy has 9/2-1/4 = <<9/2-1/4=8/4=2>>2 KGs of apples left. ### Answer: 2
Expected answer: 17/4
Correct? No
Problem: John spends 12/7 hours fixing a watch and then spends an additional 3/9 hours polishing it. How many hours in total did he spent working on the watch?
InternLM-Math Base 7B:
Reasoning: John spent 12/7+3/9 = <<12/7+3/9= 1 8/9>>1 8/9 hours in total working on the watch. ### Answer: 1 8/9
Expected answer: 43/21
Correct? No
Problem: Peggy the Penguin was swimming and had traveled for 5/4 miles when she turned around to go back to her family. She swam back for 1/12 miles before deciding to rest. How many miles is Peggy from her family?
InternLM-Math Base 7B:
Reasoning: Peggy swam 5/4-1/12 = <<5/4-1/12=8/12=2/3>>2/3 miles from her family. ### Answer: 2/3
Expected answer: 7/6
Correct? No
Problem: A farmer has a fields where he grows wheat. One part of the field is 4 acres and another part is 11/12 of an acre. How many acres in total does he use to grow wheat?
InternLM-Math Base 7B:
Reasoning: 1/12 = 0.0833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 59/12
Correct? No
Problem: If a dress designer used 11/4 yards of red fabric, and then added 5/17 yards of blue fabric, how many yards of fabric did she use in total?
InternLM-Math Base 7B:
Reasoning: The designer used 11/4+5/17 = <<11/4+5/17= 1 8/17>>1 8/17 yards of fabric in total. ### Answer: 1 8/17
Expected answer: 207/68
Correct? No
Problem: Jacob has 11/2 feet long guitar wire. If he uses 5/16 feet of it to fix a guitar, how much wire is remaining?
InternLM-Math Base 7B:
Reasoning: Jacob has 11/2-5/16 = <<11/2-5/16= 8 9/16>>8 9/16 feet of wire remaining. ### Answer: 8 9/16
Expected answer: 83/16
Correct? No
Problem: Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week?
InternLM-Math Base 7B:
Reasoning: Samantha has 4-17/14 = <<4-17/14=3/7>>3/7 fluid ounces of toothpaste left. ### Answer: 3/7
Expected answer: 39/14
Correct? No
Problem: Maria has 12 candies. She gives each of her 6 friends an equal amount of candies. Maria also has 20 stickers and she gives each of her 20 friends a sticker. How many candies and stickers does each friend get in total?
InternLM-Math Base 7B:
Expected answer: 3
Correct? No
Problem: During a rainy day, the first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. How many hours did it rain in total?
InternLM-Math Base 7B:
Reasoning: The first rainfall lasted for 4/13+11/5 = <<4/13+11/5= 8/3>>8/3 hours. The second rainfall lasted for 11/5-4/13 = <<11/5-4/13= 9/5>>9/5 hours. The total time the rain fell for was 8/3+9/5 = 8/3+9/5 = <<8/3+9/5= 7/3>>7/3 hours. ### Answer: 7/3
Expected answer: 163/65
Correct? No
Problem: Jane cuts 10/12 yards of fabric from a blanket. Then, she cuts an additional 10/10 yard. How many yards of fabric has she cut from the blanket in total?
InternLM-Math Base 7B:
Expected answer: 11/6
Correct? No
Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. What is the total amount of magic dust the fairy used?
InternLM-Math Base 7B:
Reasoning: 11/12 + 9/10 = <<11/12+9/10=8.8>>8.8 ### Answer: 8.8
Expected answer: 109/60
Correct? No
Problem: A word game assigns 3/11 of a point for each vowel used and 8/10 of a point for each consonant. If you use 1 vowel and 1 consonant, what will your score be?
InternLM-Math Base 7B:
|
Expected answer: 59/55
Correct? No
Problem: You are writing a letter that is 4/1 pages long. You remove 14/9 pages from it. How many pages is the letter now?
InternLM-Math Base 7B:
Reasoning: The letter is now 4-14/9 = <<4-14/9=3 1/9>>3 1/9 pages long. ### Answer: 3 1/9
Expected answer: 22/9
Correct? No
Problem: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. How much of the table has been painted in total?
InternLM-Math Base 7B:
Reasoning: <<16/20=8/10=4/5>>Anne painted 4/5 of the table. Bob painted 5/20 = 1/4 of the table. 4/5 + 1/4 = 8/5. ### Answer: 8/5
Expected answer: 21/20
Correct? No
Problem: The star Alpha shines 17/3 times brighter than an average star, while the star Bravo shines 20/16 times as bright. How much brighter are both stars compared to an average star if you add up the relative brightness of these two stars?
InternLM-Math Base 7B:
Reasoning: 17/3+20/16=<<17/3+20/16= 3.8>>3.8 ### Answer: 3.8
Expected answer: 83/12
Correct? No
Problem: There are 17/20 kg of red apples and 18/8 kg of green apples in a grocery store. How many kilograms of apples are in the store in total?
InternLM-Math Base 7B:
Reasoning: 17/20+18/8= <<17/20+18/8= 0.85+2.25=3.1>>3.1 kg of apples are in the store in total. ### Answer: 3.1
Expected answer: 31/10
Correct? Yes
Problem: The grocery store owner also received an additional batch of yellow apples that weighs 17/15 kg. So, now how many total kilograms of apples are in the store?
InternLM-Math Base 7B:
Reasoning: 3.1+17/15= <<3.1+17/15= 3.1+1.13=4.23>>4.23 kg of apples are in the store in total. ### Answer: 4.23
Expected answer: 127/30
Correct? No
Problem: Instead of having 17/20 kg of red apples as stated in the original problem, suppose the store only had 3/20 kg of red apples. Along with the 18/8 kg of green apples, how many kilograms of apples would be in the store now?
InternLM-Math Base 7B:
Reasoning: 3/20+18/8= <<3/20+18/8= 0.15+2.25=2.4>>2.4 kg of apples are in the store in total. ### Answer: 2.4
Expected answer: 12/5
Correct? Yes
Problem: If a bus drives 12/20 of a mile then goes an additional 12/12 of a mile, how many miles did the bus travel in total?
InternLM-Math Base 7B:
Reasoning: The bus went 12/20+12/12 = <<12/20+12/12= 1.8>>1.8 miles in total. ### Answer: 1.8
Expected answer: 8/5
Correct? No
Problem: In the first hour, a shark swims 3/9 miles and in the second hour height increases its speed to swim 13/5 miles. How many miles does the shark swim in total in these two hours?
InternLM-Math Base 7B:
Reasoning: The shark swims 3/9+13/5 = <<3/9+13/5= 3.8>>3.8 miles in total in these two hours. ### Answer: 3.8
Expected answer: 44/15
Correct? No
Problem: A drummer hits a rhythm where they hit once every 17/17 seconds for the first beat and then 2/12 seconds for the second beat. How long does it take for the drummer to hit the two beats together?
InternLM-Math Base 7B:
Reasoning: The drummer hits the first beat 17/17 seconds and the second beat 2/12 seconds. The drummer hits the two beats together 17/17+2/12 = <<17/17+2/12=1.8>>1.8 seconds.
Expected answer: 7/6
Correct? No
Problem: If a fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening, what is the total cord of wood it burns in a day?
InternLM-Math Base 7B:
Reasoning: 12/17+8/19 = <<12/17+8/19= 8.8>>8.8 ### Answer: 8.8
Expected answer: 364/323
Correct? No
Problem: A butterfly's flight consisted of two segments. The first segment was 18/19 of a mile and the second was 9/17 of a mile. How long was the entire flight?
InternLM-Math Base 7B:
Reasoning: The first segment of the flight was 18/19 = <<18/19=0.95>>0.95 miles. The second segment of the flight was 9/17 = <<9/17=0.52>>0.52 miles. The entire flight was 0.95+0.52 = <<0.95+0.52=1.47>>1.47 miles. ### Answer: 1.47
Expected answer: 477/323
Correct? No
Problem: While measuring a map, Jenna finds that the distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. What is the total distance Jenna measured between the three cities on the map?
InternLM-Math Base 7B:
| |assistant| Reasoning: The total distance is 13/10+14/15 = 15/5+4/3 = 9/5+4/3 = 9/5+8/5 = 17/5 = <<17/5=3 2/5>>3 2/5 inches. ### Answer: 3 2/5
Expected answer: 67/30
Correct? No
Problem: A helium balloon rises at a rate of 13/6 feet per second. After a gust of wind, its speed increases by 3/16 feet per second. What is the new speed of the balloon in feet per second?
InternLM-Math Base 7B:
Reasoning: The new speed of the balloon is 13/6+3/16 = <<13/6+3/16= 19/8>>19/8 feet per second. ### Answer: 19/8
Expected answer: 113/48
Correct? No
Problem: Scarlett has 16/10 gallons of red paint. If she uses 1/20 of a gallon for a small art project, how many gallons of red paint will she have left?
InternLM-Math Base 7B:
Expected answer: 31/20
Correct? No
Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. How many chocolate bars are left in the box?
InternLM-Math Base 7B:
Reasoning: <<2/5=0.4>>Susie ate 0.4 of a chocolate bar. 0.4/1 = <<0.4/1=0.4>>0.4 chocolate bars. Susie ate 0.4/12 = <<0.4/12=0.0333...>>0.0333... chocolate bars. ### Answer: 0.0333...
Expected answer: 58/5
Correct? No
Problem: A plane is flying at an altitude of 2 miles, then it descends by 10/15 of a mile. What is the new altitude of the plane?
InternLM-Math Base 7B:
| |assistant| Reasoning: 2-10/15 = <<2-10/15= 0.6>>0.6 ### Answer: 0.6
Expected answer: 4/3
Correct? No
Problem: A child goes down a slide that's 6/19 meters long, and then goes down another slide that's 17/4 meters long. How many total meters did they slide?
InternLM-Math Base 7B:
|
Expected answer: 347/76
Correct? No
Problem: A colonial fireplace burns firewood at a rate of 4/15 cords per hour in the early morning. In the late night, the rate increases to 14/15 cords per hour. How much firewood does the fireplace burn in total in one hour split between the early morning and late night?
InternLM-Math Base 7B:
Reasoning: The fireplace burns 4/15+14/15 = <<4/15+14/15=8/3>>8/3 cords of firewood in one hour. ### Answer: 8/3
Expected answer: 6/5
Correct? No
Problem: An alien travelled 9/20 of a light year towards earth then decided to move forward another 11/7 light years. How many light years has the alien travelled in total?
InternLM-Math Base 7B:
Reasoning: The alien travelled 9/20+11/7=<<9/20+11/7= 8/5>>8/5 light years.
Expected answer: 283/140
Correct? No
Problem: If Bob has 10/2 of a cucumber and he adds it to 1/7 of another cucumber, how many cucumbers does he have in total?
InternLM-Math Base 7B:
Expected answer: 36/7
Correct? No