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Primary 4 Mathematics Fractions Quiz

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Primary 4 Mathematics From Real Exams Generated by Owl Alpha Updated 2026-06-03
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Questions

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Primary 4 Mathematics Quiz - Fractions

Name: ___________________________

Class: ___________________________

Date: ___________________________

Score: _________ / 40

Duration: 50 minutes

Total Marks: 40

Instructions

  • Answer ALL questions.
  • Show your working clearly in the space provided.
  • Write your final answer in the answer space.
  • Do not use a calculator.
  • The number of marks for each question is shown in brackets [ ].

Section A: Equivalent Fractions, Comparing and Ordering (Questions 1–5)

Questions 1–4: Fill in the blanks. (1 mark each)

1. Express 34\frac{3}{4} as an equivalent fraction with denominator 12.

Answer: 34=□12\frac{3}{4} = \frac{\Box}{12} [1]

2. Express 1824\frac{18}{24} in its simplest form.

Answer: 1824=□□\frac{18}{24} = \frac{\Box}{\Box} [1]

3. Fill in the missing numerator: 25=□15\frac{2}{5} = \frac{\Box}{15}

Answer: 25=□15\frac{2}{5} = \frac{\Box}{15} [1]

4. Fill in the missing denominator: 78=21□\frac{7}{8} = \frac{21}{\Box}

Answer: 78=21□\frac{7}{8} = \frac{21}{\Box} [1]

Question 5: Arrange the fractions. (2 marks)

5. Arrange the following fractions in order from smallest to largest.

16\frac{1}{6}, 12\frac{1}{2}, 13\frac{1}{3}

Answer: _________, _________, _________ [2]

Section B: Addition and Subtraction of Fractions (Questions 6–10)

Questions 6–8: Work out the following. Give your answer in simplest form. (2 marks each)

6. 29+59=\frac{2}{9} + \frac{5}{9} =

Working:

Answer: _________________________ [2]

7. 710−310=\frac{7}{10} - \frac{3}{10} =

Working:

Answer: _________________________ [2]

8. 56−13=\frac{5}{6} - \frac{1}{3} =

Working:

Answer: _________________________ [2]

Questions 9–10: Word problems. (3 marks each)

9. Lily ate 15\frac{1}{5} of a cake in the morning and 25\frac{2}{5} of the same cake in the afternoon. What fraction of the cake did she eat altogether?

Working:

Answer: She ate _________ of the cake. [3]

10. A tank was 78\frac{7}{8} full of water. After using some water, 38\frac{3}{8} remained. What fraction of the water was used?

Working:

Answer: _________ of the water was used. [3]

Section C: Multiplication of Fractions and Mixed/Improper Fractions (Questions 11–15)

Questions 11–12: Convert to improper fractions or mixed numbers. (2 marks each)

11. Express 2352\frac{3}{5} as an improper fraction.

Answer: 235=□□2\frac{3}{5} = \frac{\Box}{\Box} [2]

12. Express 174\frac{17}{4} as a mixed number.

Answer: 174=□□□\frac{17}{4} = \Box\frac{\Box}{\Box} [2]

Questions 13–14: Work out the following. (2 marks each)

13. 23×6=\frac{2}{3} \times 6 =

Working:

Answer: _________________________ [2]

14. 38×4=\frac{3}{8} \times 4 =

Working:

Answer: _________________________ [2]

Question 15: Word problem. (3 marks)

15. A ribbon is 34\frac{3}{4} m long. Mother used 23\frac{2}{3} of it to tie a present. What length of ribbon did she use?

Working:

Answer: She used _________ m of ribbon. [3]

Section D: Challenging Word Problems (Questions 16–20)

Questions 16–20: Solve the following word problems. Show your working clearly. (5 marks each)

16. Ali had a bag of rice. He used 13\frac{1}{3} of the rice on Monday and 14\frac{1}{4} of the rice on Tuesday.

(a) What fraction of the rice did he use altogether? [2]

(b) What fraction of the rice was left? [3]

Working:

Answer (a): He used _________ of the rice altogether.

Answer (b): _________ of the rice was left.

17. A piece of wire is 910\frac{9}{10} m long. A piece of 25\frac{2}{5} m is cut off, and then another piece of 110\frac{1}{10} m is cut off.

(a) What is the total length of wire cut off? [2]

(b) What is the length of wire remaining? [3]

Working:

Answer (a): _________ m of wire was cut off altogether.

Answer (b): _________ m of wire remained.

18. Mrs Tan bought 2 cakes. She cut each cake into 8 equal pieces. Her children ate 58\frac{5}{8} of the first cake and 34\frac{3}{4} of the second cake.

(a) How many pieces of cake did her children eat from the first cake? [1]

(b) How many pieces did they eat from the second cake? [1]

(c) What fraction of the total 2 cakes did they eat altogether? Express your answer in simplest form. [3]

Working:

Answer (a): They ate _________ pieces from the first cake.

Answer (b): They ate _________ pieces from the second cake.

Answer (c): They ate _________ of the total cakes altogether.

19. A fruit seller had some apples. 27\frac{2}{7} of the apples were red apples and the rest were green apples. He had 30 more green apples than red apples.

(a) What fraction of the apples were green? [2]

(b) Find the total number of apples the fruit seller had. [3]

Working:

Answer (a): _________ of the apples were green.

Answer (b): The fruit seller had _________ apples altogether.

20. There are 24 pupils in a class. 58\frac{5}{8} of them are girls.

(a) How many girls are there? [2]

(b) How many more girls than boys are there? [3]

Working:

Answer (a): There are _________ girls.

Answer (b): There are _________ more girls than boys.

~ End of Quiz ~

Answers

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Primary 4 Mathematics Quiz - Fractions

Answer Key

Section A: Equivalent Fractions, Comparing and Ordering (Questions 1–5)

1. 34=912\frac{3}{4} = \frac{9}{12}

Working: 34=3×34×3=912\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}

2. 1824=34\frac{18}{24} = \frac{3}{4}

Working: 18÷624÷6=34\frac{18 \div 6}{24 \div 6} = \frac{3}{4}

3. 25=615\frac{2}{5} = \frac{6}{15}

Working: 2×35×3=615\frac{2 \times 3}{5 \times 3} = \frac{6}{15}

4. 78=2124\frac{7}{8} = \frac{21}{24}

Working: 7×38×3=2124\frac{7 \times 3}{8 \times 3} = \frac{21}{24}

5. 16\frac{1}{6}, 13\frac{1}{3}, 12\frac{1}{2}

Working: Same numerator — larger denominator means smaller fraction. Order from smallest to largest: 16<13<12\frac{1}{6} < \frac{1}{3} < \frac{1}{2}.

Section B: Addition and Subtraction of Fractions (Questions 6–10)

6. 29+59=79\frac{2}{9} + \frac{5}{9} = \frac{7}{9}

Working: Same denominator — add numerators: 2+59=79\frac{2+5}{9} = \frac{7}{9}

7. 710−310=410=25\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5}

Working: Same denominator — subtract numerators: 7−310=410=25\frac{7-3}{10} = \frac{4}{10} = \frac{2}{5}

8. 56−13=56−26=36=12\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}

Working: 13=26\frac{1}{3} = \frac{2}{6}, so 56−26=36=12\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}

9. She ate 35\frac{3}{5} of the cake.

Working: 15+25=35\frac{1}{5} + \frac{2}{5} = \frac{3}{5}

10. 48=12\frac{4}{8} = \frac{1}{2} of the water was used.

Working: 78−38=48=12\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}

Section C: Multiplication of Fractions and Mixed/Improper Fractions (Questions 11–15)

11. 235=1352\frac{3}{5} = \frac{13}{5}

Working: 235=(2×5)+35=1352\frac{3}{5} = \frac{(2 \times 5) + 3}{5} = \frac{13}{5}

12. 174=414\frac{17}{4} = 4\frac{1}{4}

Working: 17÷4=417 \div 4 = 4 remainder 11, so 174=414\frac{17}{4} = 4\frac{1}{4}

13. 23×6=123=4\frac{2}{3} \times 6 = \frac{12}{3} = 4

Working: 23×6=2×63=123=4\frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4

14. 38×4=128=32=112\frac{3}{8} \times 4 = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}

Working: 38×4=3×48=128=32=112\frac{3}{8} \times 4 = \frac{3 \times 4}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}

15. She used 12\frac{1}{2} m of ribbon.

Working: 23×34=612=12\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2} m

Section D: Challenging Word Problems (Questions 16–20)

16. (a) He used 712\frac{7}{12} of the rice altogether.

Working: 13+14=412+312=712\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}

(b) 512\frac{5}{12} of the rice was left.

Working: 1−712=1212−712=5121 - \frac{7}{12} = \frac{12}{12} - \frac{7}{12} = \frac{5}{12}

17. (a) 12\frac{1}{2} m of wire was cut off altogether.

Working: 25+110=410+110=510=12\frac{2}{5} + \frac{1}{10} = \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2} m

(b) 25\frac{2}{5} m of wire remained.

Working: 910−12=910−510=410=25\frac{9}{10} - \frac{1}{2} = \frac{9}{10} - \frac{5}{10} = \frac{4}{10} = \frac{2}{5} m

18. (a) They ate 5 pieces from the first cake.

Working: 58×8=5\frac{5}{8} \times 8 = 5 pieces

(b) They ate 6 pieces from the second cake.

Working: 34×8=6\frac{3}{4} \times 8 = 6 pieces

(c) They ate 1116\frac{11}{16} of the total cakes altogether.

Working: Total pieces = 8+8=168 + 8 = 16. Pieces eaten = 5+6=115 + 6 = 11. Fraction eaten = 1116\frac{11}{16}

19. (a) 57\frac{5}{7} of the apples were green.

Working: 1−27=571 - \frac{2}{7} = \frac{5}{7}

(b) The fruit seller had 70 apples altogether.

Working: Green apples − Red apples = 57−27=37\frac{5}{7} - \frac{2}{7} = \frac{3}{7}. 37\frac{3}{7} of total = 30 apples. So 17\frac{1}{7} of total = 30÷3=1030 \div 3 = 10 apples. Total = 10×7=7010 \times 7 = 70 apples.

20. (a) There are 15 girls.

Working: 58×24=5×248=1208=15\frac{5}{8} \times 24 = \frac{5 \times 24}{8} = \frac{120}{8} = 15

(b) There are 6 more girls than boys.

Working: Number of boys = 24−15=924 - 15 = 9. Difference = 15−9=615 - 9 = 6.

Mark Allocation Summary

SectionQuestionsMarks per QuestionSection Total
A: Equivalent, Comparing, Ordering1–51, 1, 1, 1, 26
B: Addition & Subtraction6–102, 2, 2, 3, 312
C: Multiplication & Mixed/Improper11–152, 2, 2, 2, 311
D: Challenging Word Problems16–205 each25
Total20 questions40

Note: Section D totals 25 marks across 5 questions (5 marks each). Sections A–C total 15 marks across 15 questions. Grand total = 40 marks.