Primary 5 Mathematics Fractions Quiz

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Primary 5 Mathematics Quiz - Fractions

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

Duration: 60 minutes
Total Marks: 40

Instructions:

1. This quiz has 20 questions on Fractions.
2. Show all your working clearly in the space provided.
3. Write your answers in the blanks.
4. Calculators are not allowed.

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Section A (Questions 1–5) — Short Answer [10 marks]

1. Write $\frac{3}{4}$ as a decimal. ______ [2]

2. Which is greater: $\frac{2}{3}$ or $\frac{3}{5}$? ______ [2]

3. Add: $\frac{1}{2} + \frac{1}{4} =$ ______ [2]

4. Subtract: $1\frac{1}{2} - \frac{3}{4} =$ ______ [2]

5. Multiply: $\frac{2}{5} \times 3 =$ ______ [2]

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Section B (Questions 6–13) — Word Problems [16 marks]

6. Siti spent $\frac{2}{5}$ of her $50 on a book. How much did she spend?$______ [2]

7. A recipe uses $\frac{3}{4}$ cup of flour. How much flour is needed for 2 times the recipe? ______ cups [2]

8. Ali painted $\frac{3}{8}$ of a wall in 2 hours. What fraction did he paint per hour? ______ [2]

9. A ribbon is $3\frac{1}{2}$ m long. Mei cut off $\frac{2}{7}$ of it. How many metres did she cut off? ______ m [2]

10. John ate $\frac{1}{3}$ of a pizza and Mary ate $\frac{1}{4}$ of the same pizza. What fraction of the pizza was eaten altogether? ______ [2]

11. A tank had $20$ L of water. $\frac{3}{10}$ leaked away. How much water was left? ______ L [2]

12. Multiply: $\frac{2}{3} \times \frac{3}{4} =$ ______ [2]

13. A class has $40$ pupils. $\frac{3}{8}$ are boys. How many boys are there? ______ [2]

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Section C (Questions 14–20) — Extended Problems [14 marks]

14. Maya used $\frac{2}{5}$ of her savings on a bicycle and $\frac{1}{4}$ of the remaining money on books. She then gave $\frac{1}{3}$ of what was left to her sister. If she gave $60 to her sister, how much did she save originally?$______ [4]

15. A cake recipe needs $\frac{3}{4}$ cup flour and $\frac{2}{3}$ cup sugar. How much flour and sugar is needed for $2.5$ times the recipe?
Flour: ______ cups
Sugar: ______ cups [3]

16. Ali painted $\frac{3}{8}$ of a fence in 2 hours. Ben painted $\frac{2}{5}$ of the same fence in 90 minutes. Who painted faster and by what fraction per hour?
Faster: ______
Difference: ______ per hour [3]

17. A bag had some marbles. Raju took $\frac{1}{3}$ of them. Then Siva took $\frac{1}{2}$ of the remainder. If 12 marbles were left, how many were there at first? ______ [2]

18. Multiply the mixed numbers: $1\frac{1}{2} \times 2\frac{1}{3} =$ ______ [1]

19. A piece of cloth is $5\frac{1}{4}$ m. Lisa used $\frac{2}{3}$ of it for curtains. How much cloth was used? ______ m [1]

20. Express $3 \div 4$ as a fraction. ______ [1]

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Primary 5 Mathematics Quiz - Fractions (Answer Key)

Total Marks: 40
Topic: Fractions (Syllabus-first; no past-year exam evidence used)

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Section A Answers

1. $0.75$ [2]
Teaching note: $\frac{3}{4}$ means $3 \div 4 = 0.75$. Dividing numerator by denominator gives the decimal.

2. $\frac{2}{3}$ [2]
Method: Common denominator 15: $\frac{2}{3}=\frac{10}{15}$, $\frac{3}{5}=\frac{9}{15}$. Since $10>9$, $\frac{2}{3} > \frac{3}{5}$.

3. $\frac{3}{4}$ [2]
$\frac{1}{2}+\frac{1}{4} = \frac{2}{4}+\frac{1}{4} = \frac{3}{4}$.

4. $\frac{3}{4}$ [2]
$1\frac{1}{2} = \frac{3}{2} = \frac{6}{4}$; $\frac{6}{4}-\frac{3}{4}=\frac{3}{4}$.

5. $\frac{6}{5} = 1\frac{1}{5}$ [2]
$\frac{2}{5}\times 3 = \frac{2\times 3}{5} = \frac{6}{5}$.

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Section B Answers

6. $20$ [2]
$\frac{2}{5} \times 50 = \frac{100}{5}=20$.

7. $1\frac{1}{2}$ cups [2]
$\frac{3}{4}\times 2 = \frac{6}{4}=1\frac{1}{2}$.

8. $\frac{3}{16}$ per hour [2]
$\frac{3}{8} \div 2 = \frac{3}{8}\times\frac{1}{2}=\frac{3}{16}$.

9. $1$ m [2]
$3\frac{1}{2}=\frac{7}{2}$; $\frac{2}{7}\times\frac{7}{2}=1$.

10. $\frac{7}{12}$ [2]
$\frac{1}{3}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12}$.

11. $14$ L [2]
Leaked: $\frac{3}{10}\times 20 = 6$ L; Left: $20-6=14$ L.

12. $\frac{1}{2}$ [2]
$\frac{2}{3}\times\frac{3}{4}=\frac{6}{12}=\frac{1}{2}$.

13. $15$ [2]
$\frac{3}{8}\times 40 = 15$.

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Section C Answers

14. $400$ [4]
Working backwards:
Sister got $60 = \frac{1}{3}$ of after-books remainder → after books = $60\times 3=180$.
Before books: $180 \div (1-\frac{1}{4}) = 180 \div \frac{3}{4} = 240$.
Originally: $240 \div (1-\frac{2}{5}) = 240 \div \frac{3}{5} = 400$.
Marking: 1 m each step, 1 m final.

15. Flour $1\frac{7}{8}$, Sugar $1\frac{2}{3}$ [3]
Flour: $\frac{3}{4}\times 2.5 = \frac{15}{8}=1\frac{7}{8}$.
Sugar: $\frac{2}{3}\times 2.5 = \frac{5}{3}=1\frac{2}{3}$.
Marking: 1.5 m each.

16. Ben; $\frac{19}{240}$ [3]
Ali rate: $\frac{3}{8}\div 2 = \frac{3}{16}=\frac{45}{240}$.
Ben rate: $\frac{2}{5}\div 1.5 = \frac{4}{15}=\frac{64}{240}$.
Ben faster by $\frac{64-45}{240}=\frac{19}{240}$.
Marking: 1 m each rate, 1 m difference.

17. $36$ [2]
Left after Raju: $\frac{2}{3}$. After Siva: $\frac{1}{2}\times\frac{2}{3}=\frac{1}{3}$.
$\frac{1}{3}$ of total = 12 → total = 36.

18. $3\frac{1}{2}$ [1]
$1\frac{1}{2}=\frac{3}{2}$, $2\frac{1}{3}=\frac{7}{3}$; $\frac{3}{2}\times\frac{7}{3}=\frac{21}{6}=3\frac{1}{2}$.

19. $3\frac{1}{2}$ m [1]
$5\frac{1}{4}=\frac{21}{4}$; $\frac{2}{3}\times\frac{21}{4}=\frac{42}{12}=3\frac{1}{2}$.

20. $\frac{3}{4}$ [1]
$3\div 4 = \frac{3}{4}$.