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Primary 6 PSLE Mathematics Fractions Quiz

Free P6 PSLE Maths Fractions quiz, HY3 Exam version, with questions, answers, and PSLE-focused practice for Singapore students.

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Primary 6 PSLE Mathematics From Real Exams Generated by Tencent HY3 Free Updated 2026-08-17

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Questions

Primary 6 PSLE Mathematics Quiz - Fractions

Name: ___________________________
Class: ___________________________
Date: ___________________________
Score: ___________ / 40

Duration: 60 minutes
Total Marks: 40
Topic: Fractions (Four Operations, Fraction of Remainder, Fraction Comparison)

Instructions:

Answer all 20 questions.
Show your working clearly in the space provided.
Write your answers in the blanks.
Calculators are not allowed.

Section A: Fractions Basics and Operations (Questions 1–5)

(2 marks each)

1. Find the value of $\frac{3}{4} \div 2$ .
Answer: __________

2. Find the value of $5 \div \frac{1}{3}$ .
Answer: __________

3. Find the value of $\frac{2}{5} \div \frac{1}{2}$ .
Answer: __________

4. Siti ate $\frac{1}{3}$ of a cake. What fraction of the cake was left?
Answer: __________

5. A rope is $1\frac{1}{2}$ m long. John cuts it into pieces of $\frac{1}{4}$ m each. How many pieces does he get?
Answer: __________

Section B: Word Problems with Fractions (Questions 6–10)

(2 marks each)

6. A tank had $12$ L of water. Raju used $\frac{1}{4}$ of it. How many litres did he use?
Answer: __________ L

7. Mrs Tan baked $24$ cookies. She gave $\frac{1}{6}$ to her neighbour. How many cookies did she have left?
Answer: __________

8. A book has $120$ pages. Mei read $\frac{2}{5}$ of it on Monday. How many pages did she read?
Answer: __________

9. Divide $8$ by $\frac{2}{3}$ . Show your working.
Working: _______________________
Answer: __________

10. A bag of rice weighed $10$ kg. After using $\frac{3}{10}$ , how much rice was left?
Answer: __________ kg

Section C: Fraction of Remainder and Comparison (Questions 11–20)

(Mix of 2- and 4-mark questions)

11. (2 marks) Ali spent $\frac{1}{2}$ of his money on a toy. He then spent $\frac{1}{3}$ of the remainder on a book. What fraction of his original money was left?
Answer: __________

12. (2 marks) A class has $40$ pupils. $\frac{1}{4}$ are boys. How many girls are there?
Answer: __________

13. (2 marks) $\frac{3}{5}$ of a group are girls. If there are $18$ girls, how many pupils are there altogether?
Answer: __________

14. (4 marks) Devi had some money. She spent $\frac{1}{3}$ on food and $\frac{1}{4}$ of the remainder on transport. She had $\$ 28$ left. How much money did she have at first?
Working:

Answer: $\$ __________$

15. (4 marks) A school raised money. They used $\frac{2}{5}$ to buy books and $\frac{1}{2}$ of the remainder to repair chairs. The amount left was $\$ 90$. Find the total amount raised.
Working:

Answer: $\$ __________$

16. (2 marks) Which is greater: $\frac{3}{4}$ or $\frac{5}{8}$ ?
Answer: __________

17. (4 marks) Sam has $\frac{2}{3}$ as many marbles as Tom. After Sam buys $10$ more marbles and Tom loses $5$ , they have the same number. How many marbles did Tom have at first?
Working:

Answer: __________

18. (4 marks) A piece of cloth is $3$ m long. Mei uses $\frac{1}{2}$ of it for a curtain and $\frac{2}{3}$ of the remainder for a tablecloth. What length of cloth is left?
Working:

Answer: __________ m

19. (4 marks) A shop had some apples. On Monday, $\frac{1}{3}$ were sold. On Tuesday, $\frac{1}{2}$ of the remainder were sold. If $20$ apples were left, how many were there at first?
Working:

Answer: __________

20. (4 marks) Lim spent $\frac{1}{4}$ of his salary on rent and $\frac{1}{3}$ of the remainder on food. He saved the rest, which was $\$ 600$. Find his salary.
Working:

Answer: $\$ __________$

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Answers

Primary 6 PSLE Mathematics Quiz - Fractions (Answer Key)

Total Marks: 40
Topic: Fractions

Section A: Answers 1–5 (2 marks each)

1. $\frac{3}{8}$
Working: $\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$ .
Teaching note: Dividing by a whole number means multiply by its reciprocal (flip the whole number to $\frac{1}{2}$ ).

2. $15$
Working: $5 \div \frac{1}{3} = 5 \times 3 = 15$ .
Teaching note: "How many thirds in 5?" Each whole has 3 thirds, so $5 \times 3 = 15$ .

3. $\frac{4}{5}$
Working: $\frac{2}{5} \div \frac{1}{2} = \frac{2}{5} \times \frac{2}{1} = \frac{4}{5}$ .
Teaching note: Reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$ .

4. $\frac{2}{3}$
Working: $1 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{2}{3}$ .
Teaching note: Whole cake = 1.

5. $6$
Working: $1\frac{1}{2} = \frac{3}{2}$ ; $\frac{3}{2} \div \frac{1}{4} = \frac{3}{2} \times 4 = 6$ .
Teaching note: Convert mixed number to improper fraction first.

Section B: Answers 6–10 (2 marks each)

6. $3$ L
Working: $12 \times \frac{1}{4} = 3$ .

7. $20$
Working: Given $= 24 \times \frac{1}{6} = 4$ ; left $= 24 - 4 = 20$ .

8. $48$
Working: $120 \times \frac{2}{5} = 48$ .

9. $12$
Working: $8 \div \frac{2}{3} = 8 \times \frac{3}{2} = 12$ .

10. $7$ kg
Working: Used $= 10 \times \frac{3}{10} = 3$ ; left $= 10 - 3 = 7$ .

Section C: Answers 11–20

11. (2 marks) $\frac{1}{2}$
Working: Spent $\frac{1}{2}$ , left $\frac{1}{2}$ . Of remainder spent $\frac{1}{3} \times \frac{1}{2} = \frac{1}{6}$ . Total spent $= \frac{1}{2} + \frac{1}{6} = \frac{2}{3}$ . Left $= 1 - \frac{2}{3} = \frac{1}{3}$ ? Wait: remainder after toy = $\frac{1}{2}$ . Book = $\frac{1}{3}$ of $\frac{1}{2}$ = $\frac{1}{6}$ . Left = $\frac{1}{2} - \frac{1}{6} = \frac{1}{3}$ .
Correction: Answer is $\frac{1}{3}$ .
Teaching note: Track remainder carefully.

12. (2 marks) $30$
Working: Boys $= 40 \times \frac{1}{4} = 10$ ; girls $= 40 - 10 = 30$ .

13. (2 marks) $30$
Working: $\frac{3}{5} \rightarrow 18$ , so $\frac{1}{5} \rightarrow 6$ , total $= 5 \times 6 = 30$ .

14. (4 marks) $\$ 48$
Mark breakdown: 2 marks for correct fractions, 2 marks for final answer.
Working:

After food: remainder $= 1 - \frac{1}{3} = \frac{2}{3}$ .
Transport $= \frac{1}{4} \times \frac{2}{3} = \frac{1}{6}$ .
Left fraction $= \frac{2}{3} - \frac{1}{6} = \frac{1}{2}$ .
$\frac{1}{2}$ of original $= 28 \Rightarrow$ original $= 56$ ? Wait: $\frac{2}{3} - \frac{1}{6} = \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$ . So $28$ is $\frac{1}{2}$ , original $= 56$ .
Correction: Answer $\$ 56$.
Teaching note: Backward fraction tracking.

15. (4 marks) $\$ 300$
Working:

Books $= \frac{2}{5}$ , remainder $= \frac{3}{5}$ .
Chairs $= \frac{1}{2} \times \frac{3}{5} = \frac{3}{10}$ .
Left $= \frac{3}{5} - \frac{3}{10} = \frac{3}{10}$ .
$\frac{3}{10} \rightarrow 90 \Rightarrow \frac{1}{10} \rightarrow 30 \Rightarrow$ total $= 300$ .

16. (2 marks) $\frac{3}{4}$
Working: $\frac{3}{4} = \frac{6}{8} > \frac{5}{8}$ .

17. (4 marks) $45$
Working: Let Tom = $x$ , Sam = $\frac{2}{3}x$ .
$\frac{2}{3}x + 10 = x - 5$
$10 + 5 = x - \frac{2}{3}x$
$15 = \frac{1}{3}x \Rightarrow x = 45$ .

18. (4 marks) $\frac{1}{2}$ m
Working: Curtain $= \frac{1}{2} \times 3 = 1.5$ m; remainder $= 1.5$ m. Tablecloth $= \frac{2}{3} \times 1.5 = 1$ m. Left $= 1.5 - 1 = 0.5$ m $= \frac{1}{2}$ m.

19. (4 marks) $60$
Working: Monday left $= \frac{2}{3}$ . Tuesday sold $\frac{1}{2} \times \frac{2}{3} = \frac{1}{3}$ . Left $= \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$ . $\frac{1}{3} \rightarrow 20 \Rightarrow$ total $= 60$ .

20. (4 marks) $\$ 960 $*Working:* Rent$ = \frac{1}{4} $, remainder$ = \frac{3}{4} $. Food$ = \frac{1}{3} \times \frac{3}{4} = \frac{1}{4} $. Saved$ = \frac{3}{4} - \frac{1}{4} = \frac{1}{2} $.$ \frac{1}{2} \rightarrow 600 \Rightarrow $salary$ = 1200 $? Wait:$ \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $. So$ 600 $is$ \frac{1}{2} $, salary$ = 1200 $. *Correction:* Answer$ $1200$.