Primary 4 Mathematics Fractions Quiz

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Primary 4 Mathematics Quiz - Fractions

Name: ___________________________

Class: ___________________________

Date: ___________________________

Score: _________ / 40

Duration: 50 minutes

Total Marks: 40

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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 [ ].

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

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

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

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

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

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

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

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

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

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

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Question 5: Arrange the fractions. (2 marks)

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

$\frac{1}{6}$, $\frac{1}{2}$, $\frac{1}{3}$

Answer: _________, _________, _________ [2]

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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. $\frac{2}{9} + \frac{5}{9} =$

Working:

Answer: _________________________ [2]

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7. $\frac{7}{10} - \frac{3}{10} =$

Working:

Answer: _________________________ [2]

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8. $\frac{5}{6} - \frac{1}{3} =$

Working:

Answer: _________________________ [2]

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

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

Working:

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

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

Working:

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

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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 $2\frac{3}{5}$ as an improper fraction.

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

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

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

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

13. $\frac{2}{3} \times 6 =$

Working:

Answer: _________________________ [2]

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14. $\frac{3}{8} \times 4 =$

Working:

Answer: _________________________ [2]

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Question 15: Word problem. (3 marks)

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

Working:

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

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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 $\frac{1}{3}$ of the rice on Monday and $\frac{1}{4}$ 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.

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

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

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19. A fruit seller had some apples. $\frac{2}{7}$ 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.

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20. There are 24 pupils in a class. $\frac{5}{8}$ 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.

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~ End of Quiz ~

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Primary 4 Mathematics Quiz - Fractions

Answer Key

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

1. $\frac{3}{4} = \frac{9}{12}$

Working: $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$

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2. $\frac{18}{24} = \frac{3}{4}$

Working: $\frac{18 \div 6}{24 \div 6} = \frac{3}{4}$

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3. $\frac{2}{5} = \frac{6}{15}$

Working: $\frac{2 \times 3}{5 \times 3} = \frac{6}{15}$

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4. $\frac{7}{8} = \frac{21}{24}$

Working: $\frac{7 \times 3}{8 \times 3} = \frac{21}{24}$

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5. $\frac{1}{6}$, $\frac{1}{3}$, $\frac{1}{2}$

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

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

6. $\frac{2}{9} + \frac{5}{9} = \frac{7}{9}$

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

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7. $\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5}$

Working: Same denominator — subtract numerators: $\frac{7-3}{10} = \frac{4}{10} = \frac{2}{5}$

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8. $\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$

Working: $\frac{1}{3} = \frac{2}{6}$, so $\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$

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

Working: $\frac{1}{5} + \frac{2}{5} = \frac{3}{5}$

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

Working: $\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}$

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

11. $2\frac{3}{5} = \frac{13}{5}$

Working: $2\frac{3}{5} = \frac{(2 \times 5) + 3}{5} = \frac{13}{5}$

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12. $\frac{17}{4} = 4\frac{1}{4}$

Working: $17 \div 4 = 4$ remainder $1$, so $\frac{17}{4} = 4\frac{1}{4}$

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13. $\frac{2}{3} \times 6 = \frac{12}{3} = 4$

Working: $\frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4$

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14. $\frac{3}{8} \times 4 = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}$

Working: $\frac{3}{8} \times 4 = \frac{3 \times 4}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}$

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

Working: $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$ m

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

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

Working: $\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$

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

Working: $1 - \frac{7}{12} = \frac{12}{12} - \frac{7}{12} = \frac{5}{12}$

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

Working: $\frac{2}{5} + \frac{1}{10} = \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2}$ m

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

Working: $\frac{9}{10} - \frac{1}{2} = \frac{9}{10} - \frac{5}{10} = \frac{4}{10} = \frac{2}{5}$ m

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

Working: $\frac{5}{8} \times 8 = 5$ pieces

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

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

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

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

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

Working: $1 - \frac{2}{7} = \frac{5}{7}$

(b) The fruit seller had 70 apples altogether.

Working: Green apples − Red apples = $\frac{5}{7} - \frac{2}{7} = \frac{3}{7}$. $\frac{3}{7}$ of total = 30 apples. So $\frac{1}{7}$ of total = $30 \div 3 = 10$ apples. Total = $10 \times 7 = 70$ apples.

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20. (a) There are 15 girls.

Working: $\frac{5}{8} \times 24 = \frac{5 \times 24}{8} = \frac{120}{8} = 15$

(b) There are 6 more girls than boys.

Working: Number of boys = $24 - 15 = 9$. Difference = $15 - 9 = 6$.

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Mark Allocation Summary

Section	Questions	Marks per Question	Section Total
A: Equivalent, Comparing, Ordering	1–5	1, 1, 1, 1, 2	6
B: Addition & Subtraction	6–10	2, 2, 2, 3, 3	12
C: Multiplication & Mixed/Improper	11–15	2, 2, 2, 2, 3	11
D: Challenging Word Problems	16–20	5 each	25
Total	20 questions		40

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.