Primary 6 Maths sample questions with answers

Fractions: Division

1. 1What is the missing number? 3 4/5 = ?/5 (A) 13 (B) 15 (C) 19 (D) 23

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   Answer: (C) 19

   1. 3 4/5 = (3 × 5 + 4)/5 = 19/5

2. 2A box contains red, blue and yellow beads. 1/4 of the beads are red. There are twice as many blue beads as yellow beads. What fraction of the beads in the box are blue? (A) 1/4 (B) 1/2 (C) 3/4 (D) 1/8

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   Answer: (B) 1/2

   1. Blue and yellow beads make up 1 − 1/4 = 3/4 of the beads.
   2. Blue is 2 units and yellow is 1 unit, so blue = 2/3 of 3/4.
   3. 2/3 × 3/4 = 1/2

3. 3Daniel spent $36 of his money on a gift and 1/3 of the remaining money on a book. In the end, he had 1/2 of his money left. How much money did Daniel have at first? (A) $36 (B) $72 (C) $108 (D) $144

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   Answer: (D) $144

   1. He had 1/2 of his money left, which was 2/3 of the money after the gift.
   2. Money after the gift = 1/2 ÷ 2/3 = 3/4 of his money
   3. So $36 = 1 − 3/4 = 1/4 of his money.
   4. $36 × 4 = $144

4. 4There were some children at a carnival. 1/4 of the boys and 1/3 of the girls went for a ride. 2/5 of the children who went for the ride were girls. What fraction of the children went for the ride? (A) 5/18 (B) 1/6 (C) 2/9 (D) 7/18

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   Answer: (A) 5/18

   1. Children who went for the ride: 5 units, 2 units girls and 3 units boys.
   2. All girls = 2 ÷ 1/3 = 6 units
   3. All boys = 3 ÷ 1/4 = 12 units
   4. All children = 6 + 12 = 18 units, so 5/18 of the children went for the ride.

5. 5Some children took part in a running competition. 1/4 of the boys and 1/6 of the girls were prize winners. There were 60 prize winners and 3/10 of them were girls. How many children took part in the running competition? (A) 168 (B) 186 (C) 216 (D) 276

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   Answer: (D) 276

   1. Girl winners = 3/10 × 60 = 18 and boy winners = 60 − 18 = 42
   2. Girls = 18 ÷ 1/6 = 108
   3. Boys = 42 ÷ 1/4 = 168
   4. 108 + 168 = 276

6. 6At first, Mdm Lee had three times as many red beads as yellow beads. She used 3/4 of her yellow beads and some of her red beads to make some bracelets. In the end, 2/3 of the beads left were red beads. What fraction of her red beads did Mdm Lee use? (A) 5/6 (B) 3/4 (C) 2/3 (D) 1/2

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   Answer: (A) 5/6

   1. Yellow beads: 4 parts, so red beads: 3 × 4 = 12 parts.
   2. Yellow left = 1/4 × 4 = 1 part
   3. Red left is 2/3 of the beads left and yellow left is 1/3, so red left = 2 × 1 = 2 parts.
   4. Red used = 12 − 2 = 10 parts, which is 10/12 = 5/6 of her red beads.

7. 7Find the value of 3/4 ÷ 2. (A) 1 1/2 (B) 2/3 (C) 3/8 (D) 1/8

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   Answer: (C) 3/8

   1. 3/4 ÷ 2 = 3/4 × 1/2 = 3/8

8. 8Find the value of 2 ÷ 1/3. (A) 2/3 (B) 3/2 (C) 1 2/3 (D) 6

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   Answer: (D) 6

   1. 2 ÷ 1/3 = 2 × 3 = 6

9. 9Find the value of 5/6 ÷ 2/3. Give your answer in its simplest form. (A) 5/9 (B) 1 1/4 (C) 2/5 (D) 1 3/4

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   Answer: (B) 1 1/4

   1. 5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12
   2. 15/12 = 1 1/4

10. 10Find the value of 4/9 × 3/8. Give your answer in its simplest form.

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    Answer: 1/6

    1. 4/9 × 3/8 = 12/72
    2. 12/72 = 1/6

11. 11Find the value of 9 ÷ 3/4.

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    Answer: 12

    1. 9 ÷ 3/4 = 9 × 4/3
    2. = 36/3 = 12

12. 12A shop owner has 240 pens and pencils. 1/5 of the pens are equal in number to 1/3 of the pencils. Find the total number of pencils.

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    Answer: 90

    1. 1/5 of the pens = 1/3 of the pencils = 1 unit
    2. Pens = 5 units and pencils = 3 units, so 8 units = 240.
    3. 1 unit = 240 ÷ 8 = 30
    4. Pencils = 3 × 30 = 90