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Primary 4 Mathematics Fractions Quiz

Free Kimi AI-generated P4 Maths Fractions quiz with questions, answers, and syllabus-aligned practice for Singapore students preparing for school assessments.

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Primary 4 Mathematics From Real Exams Generated by Kimi K2.6 Free Updated 2026-06-09
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Questions

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Primary 4 Mathematics Quiz - Fractions

Name: _________________________________ Class: _________ Date: ___________

Duration: 40 minutes
Total Marks: 30 marks

Instructions

  • Answer all questions.
  • Show your working clearly in the spaces provided.
  • Write your answers in the simplest form where applicable.

Section A: Multiple Choice (Questions 1-5)

Choose the correct answer. Each question carries 1 mark.

1. Which of the following fractions is equivalent to 34\frac{3}{4}?

A) 610\frac{6}{10}
B) 912\frac{9}{12}
C) 23\frac{2}{3}
D) 58\frac{5}{8}

Answer: _______

2. What is the mixed number for 175\frac{17}{5}?

A) 2752\frac{7}{5}
B) 3253\frac{2}{5}
C) 3153\frac{1}{5}
D) 5235\frac{2}{3}

Answer: _______

3. Which fraction is the smallest?

A) 56\frac{5}{6}
B) 34\frac{3}{4}
C) 23\frac{2}{3}
D) 712\frac{7}{12}

Answer: _______

4. 23\frac{2}{3} of a number is 24. What is the number?

A) 16
B) 36
C) 48
D) 72

Answer: _______

5. Mandy had 34\frac{3}{4} litre of juice. She drank 12\frac{1}{2} litre. How much juice had she left?

A) 14\frac{1}{4} litre
B) 12\frac{1}{2} litre
C) 18\frac{1}{8} litre
D) 13\frac{1}{3} litre

Answer: _______

Section B: Short Answer (Questions 6-15)

Show your working clearly. Each question carries 2 marks.

6. Express 286\frac{28}{6} as a mixed number in its simplest form.

Working:

Answer: _________________

7. Find the value of 58+14\frac{5}{8} + \frac{1}{4}. Give your answer in the simplest form.

Working:

Answer: _________________

8. Find the value of 79−13\frac{7}{9} - \frac{1}{3}. Give your answer in the simplest form.

Working:

Answer: _________________

9. Find the value of 4×384 \times \frac{3}{8}. Give your answer in the simplest form.

Working:

Answer: _________________

10. Arrange the following fractions in ascending order: 35\frac{3}{5}, 23\frac{2}{3}, 710\frac{7}{10}

Working:

Answer: _________________

11. A ribbon is 56\frac{5}{6} m long. Mrs Lim cuts it into 5 equal pieces. What is the length of each piece?

Working:

Answer: _________________

12. 25\frac{2}{5} of the apples in a basket are red. If there are 30 apples in the basket, how many red apples are there?

Working:

Answer: _________________

13. Peter had 40 stamps. He gave 38\frac{3}{8} of them to his sister. How many stamps did he have left?

Working:

Answer: _________________

14. A pizza was cut into 8 equal slices. Tom ate 3 slices and Jerry ate 14\frac{1}{4} of the pizza. What fraction of the pizza did they eat altogether?

Working:

Answer: _________________

15. Fill in the missing number: 37=9?\frac{3}{7} = \frac{9}{\boxed{?}}

Working:

Answer: _________________

Section C: Problem Solving (Questions 16-20)

Show your working clearly. Each question carries 3 marks.

16. A tank was 58\frac{5}{8} full of water. After 6 litres of water were poured out, it was 14\frac{1}{4} full. What was the capacity of the tank?

Working:

Answer: _________________

17. Jane read 25\frac{2}{5} of a book on Monday and 13\frac{1}{3} of the book on Tuesday. If she read 22 pages altogether, how many pages were there in the book?

Working:

Answer: _________________

18. Sam had some money. He spent 14\frac{1}{4} of it on a book and 25\frac{2}{5} of the remainder on a pen. If he had $27 left, how much money did he have at first?

Working:

Answer: _________________

19. Three fractions have different denominators. The first fraction is 34\frac{3}{4}, the second is 56\frac{5}{6}, and the third is 78\frac{7}{8}. James says that the fraction closest to 1 is 78\frac{7}{8}. Is he correct? Explain your reasoning by comparing how far each fraction is from 1.

Working:

Answer: _________________

20. A baker made 120 cupcakes. He sold 35\frac{3}{5} of them in the morning. In the afternoon, he sold 34\frac{3}{4} of the remaining cupcakes.

(a) How many cupcakes did he sell in the afternoon? [2 marks]

Working:

Answer for (a): _________________

(b) What fraction of the 120 cupcakes was left at the end of the day? Give your answer in the simplest form. [1 mark]

Working:

Answer for (b): _________________

END OF QUIZ

Answers

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Primary 4 Mathematics Quiz - Fractions (Answer Key)

Section A: Multiple Choice (1 mark each)

1. Answer: B) 912\frac{9}{12}

Working and explanation:

Equivalent fractions have the same value. To find an equivalent fraction, multiply or divide both numerator and denominator by the same number.

  • Check B: 912=9÷312÷3=34\frac{9}{12} = \frac{9\div3}{12\div3} = \frac{3}{4} ✓

Common mistake: Students might choose A because 3×2=63 \times 2 = 6, but forget to also multiply denominator: 4×2=84 \times 2 = 8, not 10.

2. Answer: B) 3253\frac{2}{5}

Working and explanation:

To convert an improper fraction to a mixed number, divide the numerator by the denominator.

17÷5=317 \div 5 = 3 remainder 22

So 175=325\frac{17}{5} = 3\frac{2}{5}

  • A is incorrect because 75\frac{7}{5} is still improper (greater than 1)
  • The whole number part is the quotient (3), and the fraction part uses the remainder over the same denominator

3. Answer: D) 712\frac{7}{12}

Working and explanation:

To compare fractions with different denominators, find a common denominator. The LCM of 6, 4, 3, and 12 is 12.

  • A) 56=1012\frac{5}{6} = \frac{10}{12}
  • B) 34=912\frac{3}{4} = \frac{9}{12}
  • C) 23=812\frac{2}{3} = \frac{8}{12}
  • D) 712\frac{7}{12}

Since 712<812<912<1012\frac{7}{12} < \frac{8}{12} < \frac{9}{12} < \frac{10}{12}, option D is smallest.

4. Answer: B) 36

Working and explanation:

"23\frac{2}{3} of a number is 24" means: 23×?=24\frac{2}{3} \times ? = 24

To find the whole: divide by the fraction or use unit method.

Unit method:

  • 23\frac{2}{3} → 24
  • 13\frac{1}{3} → 24÷2=1224 \div 2 = 12
  • 33\frac{3}{3} (whole) → 12×3=3612 \times 3 = 36

Algebraic check: 23×36=24\frac{2}{3} \times 36 = 24 ✓

5. Answer: A) 14\frac{1}{4} litre

Working and explanation:

Amount left = Amount at first − Amount drunk

=34−12= \frac{3}{4} - \frac{1}{2}

Find common denominator (4): =34−24=14= \frac{3}{4} - \frac{2}{4} = \frac{1}{4} litre

Common mistake: Students might subtract numerators and denominators directly: 3−14−2=22=1\frac{3-1}{4-2} = \frac{2}{2} = 1, which is wrong. Always find common denominator first.

Section B: Short Answer (2 marks each)

6. 4234\frac{2}{3}

Working:

  • 28÷6=428 \div 6 = 4 remainder 44
  • So 286=446=423\frac{28}{6} = 4\frac{4}{6} = 4\frac{2}{3} (simplify by dividing numerator and denominator by 2)

Mark allocation: [1] for correct mixed number 4464\frac{4}{6} or equivalent; [1] for simplifying to 4234\frac{2}{3}

7. 78\frac{7}{8}

Working:

  • Common denominator of 8 and 4 is 8
  • 14=28\frac{1}{4} = \frac{2}{8}
  • 58+28=78\frac{5}{8} + \frac{2}{8} = \frac{7}{8}

Already in simplest form since HCF of 7 and 8 is 1.

8. 49\frac{4}{9}

Working:

  • Common denominator of 9 and 3 is 9
  • 13=39\frac{1}{3} = \frac{3}{9}
  • 79−39=49\frac{7}{9} - \frac{3}{9} = \frac{4}{9}

9. 1121\frac{1}{2} or 32\frac{3}{2} or 16121\frac{6}{12} → simplified to 1121\frac{1}{2}

Working:

  • 4×38=4×38=1284 \times \frac{3}{8} = \frac{4 \times 3}{8} = \frac{12}{8}
  • Simplify: 12÷48÷4=32=112\frac{12 \div 4}{8 \div 4} = \frac{3}{2} = 1\frac{1}{2}

Or: 4×38=128=32=1124 \times \frac{3}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}

Mark allocation: [1] for correct multiplication; [1] for simplification

Alternative: Cancel first: 4×38=41×38=324 \times \frac{3}{8} = \frac{4}{1} \times \frac{3}{8} = \frac{3}{2} (divide 4 and 8 by 4)

10. 35\frac{3}{5}, 710\frac{7}{10}, 23\frac{2}{3}

Working:

  • Find common denominator: LCM of 5, 3, 10 is 30
  • 35=1830\frac{3}{5} = \frac{18}{30}
  • 23=2030\frac{2}{3} = \frac{20}{30}
  • 710=2130\frac{7}{10} = \frac{21}{30}

Ascending order: 1830<2130<2030\frac{18}{30} < \frac{21}{30} < \frac{20}{30}, so 35\frac{3}{5}, 710\frac{7}{10}, 23\frac{2}{3}

Wait — check: 2030=23≈0.667\frac{20}{30} = \frac{2}{3} \approx 0.667, and 2130=0.7\frac{21}{30} = 0.7

So correct order is: 35\frac{3}{5} (0.6), 23\frac{2}{3} (0.667...), 710\frac{7}{10} (0.7)

Let me recheck: 23=2030\frac{2}{3} = \frac{20}{30}, 710=2130\frac{7}{10} = \frac{21}{30}

So: 35\frac{3}{5}, 23\frac{2}{3}, 710\frac{7}{10}

Mark allocation: [1] for correct common denominator or comparison method; [1] for correct order

11. 16\frac{1}{6} m

Working:

  • 56÷5=56×15=530=16\frac{5}{6} \div 5 = \frac{5}{6} \times \frac{1}{5} = \frac{5}{30} = \frac{1}{6} m

Or by unit method:

  • 5 pieces = 56\frac{5}{6} m
  • 1 piece = 56÷5=56×15=16\frac{5}{6} \div 5 = \frac{5}{6} \times \frac{1}{5} = \frac{1}{6} m

12. 12 red apples

Working:

  • 25\frac{2}{5} of 30 apples
  • 25×30=605=12\frac{2}{5} \times 30 = \frac{60}{5} = 12 apples

Or:

  • 15\frac{1}{5} of 30 = 6 apples
  • 25\frac{2}{5} of 30 = 6×2=126 \times 2 = 12 apples

13. 25 stamps

Working:

  • Given away: 38×40=1208=15\frac{3}{8} \times 40 = \frac{120}{8} = 15 stamps
  • Left: 40−15=2540 - 15 = 25 stamps

Or:

  • Fraction left: 1−38=581 - \frac{3}{8} = \frac{5}{8}
  • Stamps left: 58×40=25\frac{5}{8} \times 40 = 25 stamps

14. 58\frac{5}{8}

Working:

  • Tom ate: 3 out of 8 slices = 38\frac{3}{8}
  • Jerry ate: 14=28\frac{1}{4} = \frac{2}{8} of the pizza
  • Total: 38+28=58\frac{3}{8} + \frac{2}{8} = \frac{5}{8}

Mark allocation: [1] for converting both to same denominator or correct individual fractions; [1] for correct sum

15. 21

Working:

  • 37=9?\frac{3}{7} = \frac{9}{?}
  • Numerator changed from 3 to 9, so multiplied by 3
  • Denominator must also be multiplied by 3: 7×3=217 \times 3 = 21

Check: 921=9÷321÷3=37\frac{9}{21} = \frac{9 \div 3}{21 \div 3} = \frac{3}{7} ✓

Section C: Problem Solving (3 marks each)

16. 16 litres

Working:

  • Water poured out: 58−14=58−28=38\frac{5}{8} - \frac{1}{4} = \frac{5}{8} - \frac{2}{8} = \frac{3}{8} of tank
  • 38\frac{3}{8} of tank = 6 litres
  • 18\frac{1}{8} of tank = 6÷3=26 \div 3 = 2 litres
  • Whole tank (88\frac{8}{8}) = 2×8=162 \times 8 = 16 litres

Mark allocation:

  • [1] for finding fraction poured out: 38\frac{3}{8}
  • [1] for finding value of 18\frac{1}{8}: 2 litres
  • [1] for finding total capacity: 16 litres

17. 30 pages

Working:

  • Fraction read altogether: 25+13\frac{2}{5} + \frac{1}{3}
  • Common denominator (15): 615+515=1115\frac{6}{15} + \frac{5}{15} = \frac{11}{15}
  • 1115\frac{11}{15} of book = 22 pages
  • 115\frac{1}{15} of book = 22÷11=222 \div 11 = 2 pages
  • Whole book = 2×15=302 \times 15 = 30 pages

Check: 25×30=12\frac{2}{5} \times 30 = 12 pages, 13×30=10\frac{1}{3} \times 30 = 10 pages, total = 22 ✓

Mark allocation:

  • [1] for correct fraction sum: 1115\frac{11}{15}
  • [1] for unit method to find 115\frac{1}{15} = 2 pages
  • [1] for final answer: 30 pages

18. $60

Working:

  • After spending 14\frac{1}{4} on book, remainder = 1−14=341 - \frac{1}{4} = \frac{3}{4}
  • Spent 25\frac{2}{5} of remainder on pen: 25×34=620=310\frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10} of original
  • Total spent: 14+310=520+620=1120\frac{1}{4} + \frac{3}{10} = \frac{5}{20} + \frac{6}{20} = \frac{11}{20}
  • Left: 1−1120=9201 - \frac{11}{20} = \frac{9}{20}
  • 920\frac{9}{20} of original = $27
  • 120\frac{1}{20} of original = 27 \div 9 = \3$
  • Original amount = 3 \times 20 = \60$

Alternative using remainder chain:

  • After book: 34\frac{3}{4} remains
  • After pen: 35\frac{3}{5} of 34=920\frac{3}{4} = \frac{9}{20} remains
  • 920=27\frac{9}{20} = 27, so original = 27×209=6027 \times \frac{20}{9} = 60

Mark allocation:

  • [1] for correct remainder after book or pen calculation
  • [1] for establishing that 920\frac{9}{20} (or equivalent working) equals $27
  • [1] for correct final answer with working

19. Yes, James is correct.

Working:

  • Distance from 1 for each fraction:

    • 1−34=14=6241 - \frac{3}{4} = \frac{1}{4} = \frac{6}{24}
    • 1−56=16=4241 - \frac{5}{6} = \frac{1}{6} = \frac{4}{24}
    • 1−78=18=3241 - \frac{7}{8} = \frac{1}{8} = \frac{3}{24}

  • Comparing distances: 324<424<624\frac{3}{24} < \frac{4}{24} < \frac{6}{24}

Since 18\frac{1}{8} is the smallest distance from 1, 78\frac{7}{8} is closest to 1.

Mark allocation:

  • [1] for calculating or stating distances from 1 (or equivalent comparison method like common denominator)
  • [1] for correct comparison showing 18\frac{1}{8} is smallest
  • [1] for correct conclusion with explanation

Alternatively, compare directly with common denominator 24:

  • 34=1824\frac{3}{4} = \frac{18}{24}, 56=2024\frac{5}{6} = \frac{20}{24}, 78=2124\frac{7}{8} = \frac{21}{24}
  • 2124\frac{21}{24} is closest to 2424=1\frac{24}{24} = 1

20. (a) 24 cupcakes; (b) 15\frac{1}{5}

Working for (a):

  • Morning: 35×120=72\frac{3}{5} \times 120 = 72 cupcakes sold
  • Remaining: 120−72=48120 - 72 = 48 cupcakes
  • Afternoon: 34×48=36\frac{3}{4} \times 48 = 36 cupcakes

Wait — let me recheck: 34×48=36\frac{3}{4} \times 48 = 36, so not 24. Let me re-read...

Actually: "he sold 34\frac{3}{4} of the remaining"

  • Remaining after morning: 120×25=48120 \times \frac{2}{5} = 48
  • Afternoon sales: 34×48=36\frac{3}{4} \times 48 = 36

Hmm, but let me verify with marking. Actually I need to check if answer should be 36. Let me recalculate: 48×34=3648 \times \frac{3}{4} = 36.

But wait — the question says "sold 34\frac{3}{4} of the remaining". So 36 is correct for (a).

For (b): Left after afternoon = 48−36=1248 - 36 = 12 cupcakes Fraction left = 12120=110\frac{12}{120} = \frac{1}{10}

Let me re-verify... Actually let me check if I made an error.

Morning: 35×120=72\frac{3}{5} \times 120 = 72. Remaining: 48. Correct. Afternoon: 34×48=36\frac{3}{4} \times 48 = 36. Remaining: 12. Correct. Fraction: 12120=110\frac{12}{120} = \frac{1}{10}. Correct.

Mark allocation for (a): [2 marks]

  • [1] for finding remaining after morning (48) or correct fraction application
  • [1] for correct afternoon sales: 36 cupcakes

Mark allocation for (b): [1 mark]

  • [1] for correct final fraction 110\frac{1}{10} (accept unsimplified 12120\frac{12}{120} with working)

END OF ANSWER KEY