PM Review — Rational Numbers

Question 1 Difficulty 1

What is the ratio of 2 bananas to 3 apples?

A 2 : 3
B 3 : 2
C 5 : 1
D 1 : 5

💡 Explanation The ratio of bananas to apples is simply the number of bananas compared to the number of apples, which is 2 : 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 2 Difficulty 1

If you have 4 red balls and 6 blue balls, what is the ratio of red to blue balls?

A 2 : 3
B 3 : 2
C 4 : 6
D 6 : 4

💡 Explanation You can simplify the ratio 4 : 6 by dividing both numbers by 2, resulting in 2 : 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 3 Difficulty 1

What is the ratio of 5 chocolates to 10 candies?

A 1 : 2
B 2 : 1
C 5 : 10
D 10 : 5

💡 Explanation The ratio 5 : 10 simplifies to 1 : 2 by dividing both numbers by 5.

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

In a class, there are 8 boys and 4 girls. What is the ratio of boys to girls?

A 2 : 1
B 1 : 2
C 4 : 8
D 8 : 4

💡 Explanation The ratio 8 : 4 simplifies to 2 : 1 by dividing both numbers by 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 5 Difficulty 1

If there are 7 marbles and 3 are red, what is the ratio of red marbles to total marbles?

A 3 : 7
B 7 : 3
C 10 : 3
D 3 : 10

💡 Explanation The ratio of red marbles to total marbles is simply 3 : 7.

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

What is the ratio of 1 liter of milk to 2 liters of water?

A 1 : 2
B 2 : 1
C 3 : 1
D 1 : 3

💡 Explanation The ratio of milk to water is 1 : 2.

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

In a fruit basket, there are 10 apples and 5 oranges. What is the ratio of apples to oranges?

A 2 : 1
B 1 : 2
C 5 : 10
D 10 : 5

💡 Explanation The ratio 10 : 5 simplifies to 2 : 1.

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

If you have 9 pencils and 3 erasers, what is the ratio of pencils to erasers?

A 3 : 1
B 1 : 3
C 9 : 3
D 3 : 9

💡 Explanation The ratio of pencils to erasers is 9 : 3, which simplifies to 3 : 1.

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

What is the ratio of 12 flowers to 4 leaves?

A 3 : 1
B 1 : 3
C 4 : 12
D 12 : 4

💡 Explanation The ratio 12 : 4 simplifies to 3 : 1.

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

In a game, there are 6 players in Team A and 2 players in Team B. What is the ratio of players in Team A to Team B?

A 3 : 1
B 1 : 3
C 2 : 6
D 6 : 2

💡 Explanation The ratio of players in Team A to Team B is 6 : 2, which simplifies to 3 : 1.

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

If you want to mix 2 parts of orange juice with 3 parts of water, what is the ratio of orange juice to the total mixture?

A 2 : 5
B 5 : 2
C 3 : 2
D 2 : 3

💡 Explanation The total mixture is 2 + 3 = 5 parts, so the ratio of orange juice is 2 : 5.

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

In a class, there are 12 boys and 8 girls. What is the ratio of girls to the total number of students?

A 8 : 20
B 20 : 8
C 12 : 8
D 8 : 12

💡 Explanation The total number of students is 12 + 8 = 20, making the ratio of girls to total students 8 : 20.

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

If a recipe calls for 4 cups of flour and 6 cups of sugar, what is the ratio of flour to sugar?

A 2 : 3
B 3 : 2
C 4 : 6
D 6 : 4

💡 Explanation The ratio 4 : 6 simplifies to 2 : 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 14 Difficulty 2

A cricket match has 5 players from Team A and 15 players from Team B. What is the ratio of Team A players to the total players?

A 5 : 20
B 20 : 5
C 15 : 5
D 5 : 15

💡 Explanation The total number of players is 5 + 15 = 20, so the ratio is 5 : 20.

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

If you have 8 red cars and 12 blue cars, what is the ratio of blue cars to red cars?

A 12 : 8
B 2 : 3
C 3 : 2
D 8 : 12

💡 Explanation The ratio of blue cars to red cars is 12 : 8, which simplifies to 3 : 2.

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

In a family, there are 3 adults and 2 children. What is the ratio of adults to children?

A 3 : 5
B 5 : 3
C 2 : 3
D 3 : 2

💡 Explanation The ratio of adults to children is 3 : 2.

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

A market has 10 oranges and 5 apples. What is the ratio of apples to total fruits?

A 5 : 15
B 10 : 5
C 5 : 10
D 5 : 15

💡 Explanation The total number of fruits is 10 + 5 = 15, so the ratio of apples to total fruits is 5 : 15.

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

If there are 14 students in a class and 6 are girls, what is the ratio of girls to boys?

A 6 : 8
B 8 : 6
C 14 : 6
D 6 : 14

💡 Explanation There are 14 - 6 = 8 boys, so the ratio of girls to boys is 6 : 8, which simplifies to 3 : 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 19 Difficulty 2

If a recipe uses 3 cups of rice and 1 cup of lentils, what is the ratio of rice to the total ingredients?

A 3 : 4
B 1 : 3
C 4 : 3
D 2 : 1

💡 Explanation The total ingredients are 3 + 1 = 4 cups, so the ratio of rice is 3 : 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 20 Difficulty 2

In a cricket team, if there are 4 fast bowlers and 6 spinners, what is the ratio of spinners to the total bowlers?

A 6 : 10
B 10 : 6
C 4 : 6
D 6 : 4

💡 Explanation The total bowlers are 4 + 6 = 10, so the ratio of spinners to total bowlers is 6 : 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 21 Difficulty 3

If a recipe calls for a ratio of 2:5 for flour and sugar, and you want to use 10 cups of sugar, how many cups of flour do you need?

A 4
B 2
C 8
D 5

💡 Explanation If sugar is 5 parts, then flour is 2 parts. If 10 cups of sugar is 5 parts, then flour will be (2/5) * 10 = 4 cups.

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 school, the ratio of boys to girls is 3:2. If there are 30 boys, how many girls are there?

A 20
B 15
C 25
D 10

💡 Explanation If the ratio of boys to girls is 3:2, then for every 3 boys, there are 2 girls. Therefore, 30 boys correspond to (2/3) * 30 = 20 girls.

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

If a classroom has a ratio of 5:3 for boys and girls, and there are 40 students in total, how many are girls?

A 15
B 25
C 20
D 10

💡 Explanation The total parts in the ratio are 5 + 3 = 8. Each part is 40/8 = 5 students. Therefore, girls = 3 * 5 = 15.

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

A recipe requires a ratio of 3:4 for rice and lentils. If you have 12 cups of rice, how many cups of lentils are needed?

A 16
B 10
C 8
D 12

💡 Explanation If rice is 3 parts and lentils are 4 parts, then for 12 cups of rice, lentils needed = (4/3) * 12 = 16 cups.

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

In a family of 10 members, the ratio of adults to children is 7:3. How many children are there?

A 3
B 4
C 5
D 6

💡 Explanation The total parts in the ratio are 7 + 3 = 10. Therefore, children = (3/10) * 10 = 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 26 Difficulty 3

In a cricket match, the ratio of runs scored by Team A to Team B is 5:7. If Team A scored 50 runs, how many runs did Team B score?

A 70
B 60
C 80
D 40

💡 Explanation If Team A's score is 5 parts (50 runs), then Team B's score (7 parts) is (7/5) * 50 = 70 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 27 Difficulty 3

If a shopkeeper sells 4 pens for every 5 pencils and has sold 40 pencils, how many pens has he sold?

A 32
B 36
C 28
D 30

💡 Explanation If pencils are 5 parts, then for 40 pencils, each part is 40/5 = 8. Therefore, pens sold = 4 * 8 = 32.

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

A fruit vendor sells apples and oranges in the ratio of 3:2. If he has 60 apples, how many oranges does he have?

A 40
B 30
C 45
D 50

💡 Explanation If apples are 3 parts and oranges are 2 parts, then for 60 apples, oranges = (2/3) * 60 = 40.

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

In a bag of marbles, the ratio of red to blue marbles is 2:5. If there are 35 blue marbles, how many red marbles are there?

A 14
B 10
C 7
D 21

💡 Explanation The total parts in the ratio are 2 + 5 = 7. If blue marbles are 5 parts (35), then each part is 35/5 = 7. Therefore, red marbles = 2 * 7 = 14.

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

In a class of 45 students, if the ratio of boys to girls is 4:5, how many boys are there?

A 20
B 25
C 15
D 30

💡 Explanation The total parts in the ratio are 4 + 5 = 9. Each part is 45/9 = 5. Therefore, boys = 4 * 5 = 20.

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

A recipe requires a ratio of 5:3 for flour to sugar. If you want to make a total of 32 cups of the mixture, how much sugar do you need?

A 12
B 8
C 10
D 16

💡 Explanation The total parts in the ratio are 5 + 3 = 8. Each part is 32/8 = 4. Therefore, sugar = 3 * 4 = 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 32 Difficulty 4

In a cricket team, the ratio of batsmen to bowlers is 5:2. If there are 21 players in total, how many bowlers are there?

A 6
B 5
C 7
D 8

💡 Explanation The total parts in the ratio are 5 + 2 = 7. Each part is 21/7 = 3. Therefore, bowlers = 2 * 3 = 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 33 Difficulty 4

If the ratio of cats to dogs in a pet shop is 3:5 and there are 40 dogs, how many cats are there?

A 24
B 20
C 30
D 28

💡 Explanation The total parts in the ratio are 3 + 5 = 8. For 40 dogs (5 parts), each part is 40/5 = 8. Therefore, cats = 3 * 8 = 24.

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

In a class of 36 students, the ratio of boys to girls is 2:4. How many boys are there?

A 12
B 18
C 24
D 16

💡 Explanation The total parts in the ratio are 2 + 4 = 6. Each part is 36/6 = 6. Therefore, boys = 2 * 6 = 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 35 Difficulty 4

If a shop sells 10 packets of biscuits for every 7 packets of chips, and they sold 56 packets of chips, how many packets of biscuits did they sell?

A 80
B 70
C 50
D 60

💡 Explanation If chips are 7 parts, then for 56 chips, each part is 56/7 = 8. Therefore, biscuits sold = 10 * 8 = 80.

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

A recipe requires a ratio of 4:1 for rice to lentils. If you have 20 cups of lentils, how many cups of rice are needed?

A 80
B 60
C 40
D 100

💡 Explanation If lentils are 1 part, then for 20 cups, rice needed = (4/1) * 20 = 80 cups.

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

In a market, the ratio of apples to oranges is 5:3. If there are 48 oranges, how many apples are there?

A 80
B 60
C 40
D 100

💡 Explanation The total parts in the ratio are 5 + 3 = 8. For 48 oranges (3 parts), each part is 48/3 = 16. Therefore, apples = 5 * 16 = 80.

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 school, the ratio of teachers to students is 1:20. If there are 100 students, how many teachers are there?

A 5
B 4
C 6
D 3

💡 Explanation If students are 20 parts, then for 100 students, each part is 100/20 = 5. Therefore, teachers = 1 * 5 = 5.

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

In a fruit basket, if the ratio of apples to bananas is 2:3 and there are 30 bananas, how many apples are there?

A 20
B 15
C 25
D 10

💡 Explanation If bananas are 3 parts, then for 30 bananas, each part is 30/3 = 10. Therefore, apples = 2 * 10 = 20.

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

If a school has a ratio of 4:1 for boys to girls, and there are 96 boys, how many girls are there?

A 24
B 20
C 30
D 12

💡 Explanation If boys are 4 parts, then for 96 boys, each part is 96/4 = 24. Therefore, girls = 1 * 24 = 24.

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?