PM Review — Fractions

Question 1 Difficulty 1

Ravi and his amma are at the local market buying fruits. They have 4 apples and want to share them with 2 friends. How many apples will each person get?

A 1
B 2
C 3
D 4

💡 Explanation Total apples are 4 and they are sharing it with 3 people (Ravi and 2 friends). Each person will get 4 ÷ 3 = 1.33, but since they can't take a fraction of an apple, they can share 2 apples properly, giving each person 1 apple with 1 apple remaining.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

Priya is helping her appa bake cookies at home. They made 12 cookies and want to share them equally among 4 family members. How many cookies does each person get?

A 2
B 3
C 4
D 5

💡 Explanation 12 cookies shared among 4 family members means each person gets 12 ÷ 4 = 3 cookies.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

During lunch, Arjun and his friends ordered 3 pizzas. If each pizza has 8 slices, how many slices do they have in total?

A 24
B 20
C 18
D 16

💡 Explanation 3 pizzas with 8 slices each means 3 × 8 = 24 slices in total.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

Aditi is at school and her teacher gives her 6 chocolates to share with 2 friends. How many chocolates will each person get?

A 2
B 3
C 4
D 5

💡 Explanation 6 chocolates shared among 3 people means each person gets 6 ÷ 3 = 2 chocolates.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

Vikram is helping his mom cook dinner. They have a large cake cut into 10 equal pieces. If they eat 2 pieces, what fraction of the cake is left?

A 3/10
B 4/10
C 5/10
D 8/10

💡 Explanation If 2 pieces are eaten from 10, then 10 - 2 = 8 pieces are left. The fraction of the cake left is 8/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

Mohit is at his friend's birthday party. There are 16 cupcakes, and he wants to take 4 home. What fraction of the cupcakes will he take?

A 1/4
B 1/2
C 1/8
D 1/16

💡 Explanation Mohit will take 4 out of a total of 16 cupcakes, so the fraction he takes is 4/16, which simplifies to 1/4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

Neha has a chocolate bar divided into 6 equal pieces. If she eats 1 piece, what fraction of the chocolate bar is remaining?

A 1/6
B 5/6
C 2/3
D 1/3

💡 Explanation After eating 1 piece from 6, there are 6 - 1 = 5 pieces left, so the fraction remaining is 5/6.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

Sita is helping her grandmother make a fruit salad. They have 4 bananas and she cuts them into 8 equal pieces. How many pieces will each of the 4 family members get?

A 1
B 2
C 3
D 4

💡 Explanation There are 8 pieces in total and sharing them among 4 family members means each person gets 8 ÷ 4 = 2 pieces.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

At the local fair, Ravi buys 8 balloons. If he gives 2 balloons to each of his 3 friends, how many balloons does he have left?

A 2
B 4
C 0
D 6

💡 Explanation If Ravi gives away 2 balloons to each of 3 friends, that’s 2 × 3 = 6 balloons. He has 8 - 6 = 2 balloons left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

During a picnic, a group of friends has 12 sandwiches. If they want to share them equally among 4 people, how many sandwiches will each person have?

A 2
B 3
C 4
D 5

💡 Explanation 12 sandwiches divided by 4 people means each person gets 12 ÷ 4 = 3 sandwiches.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

At the cricket ground, Team B needs to calculate how many runs they need to win. They have 3/4 of their target score and need to achieve 100 runs in total. How many more runs do they need?

A 25
B 50
C 100
D 75

💡 Explanation 3/4 of 100 is 75 runs. To find out how many more runs they need: 100 - 75 = 25 runs.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

Rani is helping her mom make ladoos for Diwali. They have 2/3 kg of flour. If they use 1/6 kg for one batch, how much flour is left?

A 1/2 kg
B 1/3 kg
C 1/4 kg
D 1/6 kg

💡 Explanation To find the remaining flour, subtract 1/6 kg from 2/3 kg. First convert 2/3 to 4/6, then 4/6 - 1/6 = 3/6, which simplifies to 1/2 kg.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

At the temple, Anjali sees that the donation box has 5/8 of its capacity filled. If the box can hold 64 coins in total, how many coins are currently in the box?

A 32
B 40
C 48
D 56

💡 Explanation 5/8 of 64 coins is calculated as (5 × 64) / 8 = 40 coins.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

During a family trip, Meera's dad buys 3 pizzas. If each pizza is cut into 10 slices and they eat 1/3 of the total slices, how many slices are left?

A 10
B 15
C 20
D 25

💡 Explanation Total slices from 3 pizzas are 3 × 10 = 30 slices. If they eat 1/3 of that, that’s 30 ÷ 3 = 10 slices eaten. So, 30 - 10 = 20 slices left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

Suresh is at the grocery store and needs to buy sugar. He wants to get 1/2 kg, but the shopkeeper says they only have 3/4 kg left. How much more sugar does he need to buy to have 1 kg?

A 1/4 kg
B 1/2 kg
C 1/3 kg
D 1/6 kg

💡 Explanation To have 1 kg, he needs 1 kg - 3/4 kg = 1/4 kg more sugar.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

At a birthday party, 4/5 of the guests are children. If there are 25 guests in total, how many adults are there?

A 5
B 10
C 15
D 20

💡 Explanation If 4/5 of 25 are children, then 1/5 are adults. 25 ÷ 5 = 5 adults.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

At the bus stand, Riya sees 3/4 of the buses have left. If there were originally 16 buses, how many buses are still at the stand?

A 4
B 3
C 2
D 1

💡 Explanation 3/4 of 16 buses means 12 have left. Therefore, 16 - 12 = 4 buses are still there.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

During a cricket match, Team A has scored 2/5 of their target score of 50 runs. How many runs have they scored?

A 10
B 20
C 25
D 30

💡 Explanation 2/5 of 50 runs is calculated as (2 × 50) / 5 = 20 runs.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

Priya's school is organizing a sports event. If 3/8 of the students are participating in the relay race and there are 32 students in total, how many students are participating?

A 10
B 12
C 14
D 15

💡 Explanation 3/8 of 32 students is calculated as (3 × 32) / 8 = 12 students participating.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

At a festival, Amit is buying sweets. He bought 15 pieces of sweets and gave 1/5 of them to his friend. How many sweets does he have left?

A 10
B 12
C 14
D 16

💡 Explanation 1/5 of 15 sweets is 3. So, Amit has 15 - 3 = 12 sweets left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

During a group study session, Aman and his friends have 5/6 of a pizza left. If they want to share it equally among 4 friends, how much pizza will each person get?

A 1/4
B 1/5
C 1/6
D 1/8

💡 Explanation To find out how much pizza each friend gets, divide 5/6 by 4: (5/6) ÷ 4 = (5/6) × (1/4) = 5/24, which simplifies to approximately 1/4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

In a cooking class, Neha has 2/3 of a cake left. If she wants to give 1/2 of her remaining cake to her friend, how much cake will her friend receive?

A 1/3
B 1/4
C 1/6
D 1/2

💡 Explanation To find how much cake her friend receives, calculate (2/3) × (1/2) = 1/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

At the market, Rani has 7/10 kg of rice. If she needs to buy 1/5 kg more, how much rice will she have in total?

A 3/5 kg
B 1 kg
C 9/10 kg
D 1/2 kg

💡 Explanation To find the total, add 7/10 kg + 1/5 kg. Convert 1/5 to 2/10, then 7/10 + 2/10 = 9/10 kg.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

During a family celebration, Priya has a cake that is 3/4 of the original size. If she cuts 1/8 of the cake, what fraction of the original cake is left?

A 1/2
B 5/8
C 3/8
D 1/4

💡 Explanation 1/8 of the original cake is cut, so 3/4 - 1/8 = 6/8 - 1/8 = 5/8 of the original cake is left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

Suresh is at the restaurant with his friends. They ordered 2/5 of a large pizza and then ordered another 1/2 of a small pizza. How much pizza did they order in total?

A 1/10
B 1
C 7/10
D 3/10

💡 Explanation To add the fractions, first find a common denominator. 2/5 = 4/10 and 1/2 = 5/10. So, 4/10 + 5/10 = 9/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

During the school play, 3/4 of the students are acting, while 1/8 are working behind the scenes. What fraction of the students is not participating?

A 1/4
B 1/8
C 1/2
D 1/3

💡 Explanation To find the fraction not participating, add the fractions acting (3/4) and behind the scenes (1/8). Convert 3/4 to 6/8, then 6/8 + 1/8 = 7/8. So, 1 - 7/8 = 1/8 are not participating.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

Rohit is saving money for a video game. He has saved 3/5 of the amount he needs. If the game costs 1000 rupees, how much more does he need to save?

A 200
B 300
C 400
D 500

💡 Explanation 3/5 of 1000 is 600 rupees. Therefore, he needs 1000 - 600 = 400 more rupees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

At a picnic, Sita has 5/6 of a chocolate bar left. If she wants to share it with 3 friends equally, how much will each person get?

A 1/6
B 1/4
C 1/5
D 1/8

💡 Explanation 5/6 divided by 4 is calculated by multiplying by the reciprocal: (5/6) × (1/4) = 5/24 of the chocolate bar each.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

During a family trip, Aditi has 3/5 of a cake left. If she gives 1/5 of the remaining cake to her brother, how much cake does she have left?

A 1/5
B 2/5
C 3/10
D 4/5

💡 Explanation 1/5 of 3/5 is (1/5 × 3/5) = 3/25. Therefore, Aditi has 3/5 - 3/25 = 12/25 = 2/5 left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

At a function, the organizer has 2/3 of a large cake left. If they need to serve it to 5 guests equally, how much will each guest receive?

A 1/4
B 1/5
C 1/10
D 1/15

💡 Explanation 2/3 divided by 5 is calculated as (2/3) × (1/5) = 2/15 of the cake per guest.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

During a science project, Aman has 7/10 of a liter of water. If he uses 1/5 of it for testing, what fraction of water is left?

A 3/10
B 1/2
C 1/3
D 1/5

💡 Explanation 1/5 of 7/10 is (1 × 7)/(5 × 10) = 7/50. Therefore, 7/10 - 7/50 = (35 - 7)/50 = 28/50 = 14/25.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

In a cooking competition, Sita has 3/4 kg of flour. If she uses 1/3 of it, how much flour remains?

A 1/4
B 1/2
C 1/3
D 1/6

💡 Explanation 1/3 of 3/4 is 1/4. Therefore, 3/4 - 1/4 = 2/4 = 1/2 kg.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

At an art class, Riya has 5/6 of a canvas left. If she uses 1/2 of it for a painting, how much canvas does she have left?

A 1/3
B 1/4
C 1/2
D 1/6

💡 Explanation 1/2 of 5/6 is (5/12). Therefore, 5/6 - 5/12 = 5/12.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

During a family gathering, the children eat 3/8 of a pie. If the pie was initially 1 whole, how much remains?

A 1/2
B 5/8
C 3/8
D 1/8

💡 Explanation 1 - 3/8 = 8/8 - 3/8 = 5/8 of the pie remains.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

In a village fair, a shopkeeper sold 3/5 of his stock. If he had 50 items at first, how many items are left?

A 10
B 20
C 30
D 25

💡 Explanation If he sold 3/5 of 50 items, that’s 30 items. Therefore, he has 50 - 30 = 20 items left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

During a school event, the students prepared 2/3 of a presentation. If they completed 1/4 of it, what fraction remains to be done?

A 1/3
B 1/2
C 1/4
D 1/6

💡 Explanation 2/3 - 1/4 = (8/12) - (3/12) = 5/12 remains.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

Amit has 4/5 of his savings. If he spends 1/10 of his savings, how much does he have left?

A 3/5
B 2/5
C 7/10
D 1/2

💡 Explanation 1/10 of 4/5 is 4/50. Therefore, he has 4/5 - 4/50 = 36/50 = 18/25.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

In a math competition, a student solved 3/4 of the problems. If there were 32 problems in total, how many problems did he solve?

A 20
B 24
C 28
D 30

💡 Explanation 3/4 of 32 problems is 24 solved problems.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

During a group project, a team completed 5/6 of the work. If they need to finish 12 tasks, how many tasks are left?

A 2
B 4
C 6
D 8

💡 Explanation If they completed 5/6, then 1/6 is left. 1/6 of 12 tasks is 2 tasks remaining.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

In a cooking class, the teacher said they used 2/3 of the ingredients. If there were 15 ingredients in total, how many ingredients are left?

A 5
B 10
C 12
D 8

💡 Explanation If 2/3 of the ingredients are used, then 1/3 remains. 1/3 of 15 ingredients is 5 ingredients left.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?