Primary 4 Mathematics Fractions Quiz

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Primary 4 Mathematics Quiz - Fractions

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

Duration: 60 minutes
Total Marks: 40

Instructions:

1. This quiz has 20 questions on Fractions.
2. Section A: 10 short questions (1 mark each). Section B: 6 questions (2 marks each). Section C: 4 word problems (3 marks each).
3. Show your working clearly. Write answers in simplest form where possible.
4. Use the spaces provided to write your answers.

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Section A (Questions 1–10, 1 mark each)

1. Express $\frac{6}{8}$ in its simplest form.
Answer: __________

2. Which of the following is an equivalent fraction of $\frac{3}{4}$?
A) $\frac{6}{8}$ B) $\frac{5}{8}$ C) $\frac{9}{12}$ D) Both A and C
Answer: __________

3. Convert $2\frac{1}{3}$ to an improper fraction.
Answer: __________

4. Convert $\frac{13}{4}$ to a mixed number.
Answer: __________

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

6. Find the value of $\frac{7}{9} - \frac{2}{9}$.
Answer: __________

7. What is $\frac{3}{4}$ of 20?
Answer: __________

8. Which fraction is larger: $\frac{2}{3}$ or $\frac{3}{5}$?
Answer: __________

9. Add $\frac{1}{2}$ and $\frac{1}{3}$. Give your answer as a fraction in simplest form.
Answer: __________

10. A set has 24 marbles. What is $\frac{5}{6}$ of the set?
Answer: __________

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Section B (Questions 11–16, 2 marks each)

11. Find $\frac{5}{6} - \frac{1}{4}$. Show your working.
Answer: __________

12. Mrs Tan bought $\frac{3}{8}$ kg of flour and $\frac{1}{4}$ kg of sugar. What is the total mass of flour and sugar?
Answer: __________ kg

13. Convert $3\frac{2}{5}$ to an improper fraction.
Answer: __________

14. Which is greater, $\frac{7}{10}$ or $\frac{2}{3}$? Show how you compare.
Answer: __________

15. A pizza was cut into 12 equal slices. Ali ate $\frac{1}{3}$ of it and Bala ate $\frac{1}{4}$ of it. What fraction of the pizza did they eat altogether?
Answer: __________

16. Find the value of $4 \times \frac{3}{8}$. Give your answer as a mixed number in simplest form.
Answer: __________

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Section C (Questions 17–20, 3 marks each)

17. Siti had $\frac{5}{6}$ of a ribbon. She gave $\frac{1}{2}$ of the ribbon to her friend. What fraction of the whole ribbon did she give away? How much of the ribbon did she have left? Show your working.
Answer: gave away __________ , left __________

18. A class has 28 students. $\frac{3}{7}$ of them are boys. How many boys are there? How many girls are there? Show your working.
Answer: boys __________ , girls __________

19. A baker used $\frac{2}{3}$ of a bag of flour on Monday and $\frac{1}{4}$ of the same bag on Tuesday. What fraction of the bag was used in all? If the bag had 12 kg of flour at first, how many kg were used? Show your working.
Answer: fraction __________ , mass __________ kg

20. John read $\frac{1}{4}$ of a book on Saturday and $\frac{5}{12}$ of it on Sunday. What fraction of the book has he read? What fraction is left unread? Show your working.
Answer: read __________ , left __________

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Primary 4 Mathematics Quiz - Fractions (Answer Key)

Total Marks: 40
Topic: Fractions (P4 Syllabus: Mixed numbers, improper fractions, equivalence, addition/subtraction, fractions of a set/quantity, multiplication by whole number)

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Section A Answers (1 mark each)

1. $\frac{3}{4}$
Teaching note: Divide numerator and denominator by common factor 2: $6 \div 2 = 3$, $8 \div 2 = 4$. Always give simplest form.

2. D (Both A and C)
Teaching note: $\frac{3}{4} = \frac{3\times2}{4\times2} = \frac{6}{8}$; also $\frac{3\times3}{4\times3} = \frac{9}{12}$. Both are equivalent. Common mistake: picking only one.

3. $\frac{7}{3}$
Teaching note: $2\frac{1}{3} = \frac{2\times3+1}{3} = \frac{7}{3}$. Mixed number to improper: whole × denominator + numerator.

4. $3\frac{1}{4}$
Teaching note: $13 \div 4 = 3$ remainder 1, so $\frac{13}{4} = 3\frac{1}{4}$.

5. $\frac{3}{5}$
Teaching note: Same denominator, add numerators: $2+1=3$, keep 5.

6. $\frac{5}{9}$
Teaching note: $7-2=5$, denominator stays 9.

7. 15
Teaching note: $\frac{3}{4}$ of 20 = $20 \div 4 \times 3 = 5 \times 3 = 15$.

8. $\frac{2}{3}$
Teaching note: Common denominator 15: $\frac{2}{3}=\frac{10}{15}$, $\frac{3}{5}=\frac{9}{15}$. So $\frac{2}{3}$ larger.

9. $\frac{5}{6}$
Teaching note: LCM of 2 and 3 is 6. $\frac{1}{2}=\frac{3}{6}$, $\frac{1}{3}=\frac{2}{6}$, sum = $\frac{5}{6}$.

10. 20
Teaching note: $\frac{5}{6}$ of 24 = $24 \div 6 \times 5 = 4 \times 5 = 20$.

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Section B Answers (2 marks each)

11. $\frac{5}{6} - \frac{1}{4} = \frac{10}{12} - \frac{3}{12} = \frac{7}{12}$
Marks: 1 for common denominator 12, 1 for correct answer.
Teaching note: LCM of 6,4 = 12.

12. $\frac{5}{8}$ kg
Working: $\frac{1}{4}=\frac{2}{8}$, $\frac{3}{8}+\frac{2}{8}=\frac{5}{8}$.
Marks: 1 for conversion, 1 for total.

13. $\frac{17}{5}$
Working: $3\frac{2}{5} = \frac{3\times5+2}{5} = \frac{17}{5}$.
Marks: 1 process, 1 answer.

14. $\frac{7}{10}$
Working: $\frac{7}{10}=\frac{21}{30}$, $\frac{2}{3}=\frac{20}{30}$; 21>20.
Marks: 1 for comparison working, 1 answer.

15. $\frac{7}{12}$
Working: $\frac{1}{3}=\frac{4}{12}$, $\frac{1}{4}=\frac{3}{12}$, total $\frac{7}{12}$.
Marks: 1 conversion, 1 sum.

16. $1\frac{1}{2}$
Working: $4 \times \frac{3}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}$.
Marks: 1 for multiplication, 1 for mixed number simplest.

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Section C Answers (3 marks each)

17. Gave away $\frac{1}{2}$, left $\frac{1}{3}$
Working: She gave $\frac{1}{2}$ of whole ribbon (stated). Left = $\frac{5}{6} - \frac{1}{2} = \frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3}$.
Marks: 1 gave away, 2 for subtraction + simplify.
Note: "of the ribbon" in story means whole ribbon.

18. Boys 12, Girls 16
Working: Boys = $\frac{3}{7} \times 28 = 28\div7\times3 = 12$. Girls = $28-12=16$.
Marks: 2 for boys calc, 1 for girls.

19. Fraction $\frac{11}{12}$, mass 11 kg
Working: Used frac = $\frac{2}{3}+\frac{1}{4} = \frac{8}{12}+\frac{3}{12}=\frac{11}{12}$. Mass = $\frac{11}{12}\times12 = 11$ kg.
Marks: 1 frac addition, 1 conversion, 1 mass.

20. Read $\frac{2}{3}$, left $\frac{1}{3}$
Working: Read = $\frac{1}{4}+\frac{5}{12} = \frac{3}{12}+\frac{5}{12} = \frac{8}{12} = \frac{2}{3}$. Left = $1 - \frac{2}{3} = \frac{1}{3}$.
Marks: 1 addition, 1 simplify, 1 left.