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Primary 4 Mathematics Fractions Quiz

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Questions

Primary 4 Mathematics Quiz - Fractions

Name: ___________________________
Class: Primary 4 _______
Date: _______________
Score: _______ / 40

Duration: 45 minutes
Total Marks: 40

Instructions:

Answer all questions.
Show your working clearly in the space provided.
Write your answers in the spaces provided.
For Section A, choose the correct option and write its letter (A, B, C, or D) in the bracket.
For Section B and C, write your answers in the blanks provided.

Section A: Multiple Choice Questions (10 × 1 mark = 10 marks)

Choose the correct answer and write its letter in the bracket provided.

1. Which of the following fractions is equivalent to $\frac{3}{5}$ ?
A) $\frac{6}{15}$
B) $\frac{9}{15}$
C) $\frac{12}{25}$
D) $\frac{15}{20}$
[______]

2. Express $\frac{17}{5}$ as a mixed number.
A) $3\frac{1}{5}$
B) $3\frac{2}{5}$
C) $3\frac{3}{5}$
D) $3\frac{4}{5}$
[______]

3. Which of the following fractions is the smallest?
A) $\frac{2}{3}$
B) $\frac{3}{5}$
C) $\frac{4}{7}$
D) $\frac{5}{9}$
[______]

4. Find the value of $\frac{2}{3} + \frac{1}{6}$ .
A) $\frac{3}{9}$
B) $\frac{1}{2}$
C) $\frac{5}{6}$
D) $\frac{3}{6}$
[______]

5. Subtract $\frac{3}{8}$ from $\frac{7}{8}$ .
A) $\frac{4}{8}$
B) $\frac{1}{2}$
C) $\frac{3}{4}$
D) $\frac{5}{8}$
[______]

6. Which of the following is an improper fraction?
A) $\frac{4}{7}$
B) $\frac{5}{5}$
C) $\frac{2}{9}$
D) $\frac{3}{10}$
[______]

7. Arrange the following fractions from the smallest to the greatest:
$\frac{1}{4}, \frac{3}{8}, \frac{1}{2}$
A) $\frac{1}{4}, \frac{1}{2}, \frac{3}{8}$
B) $\frac{1}{4}, \frac{3}{8}, \frac{1}{2}$
C) $\frac{3}{8}, \frac{1}{4}, \frac{1}{2}$
D) $\frac{1}{2}, \frac{3}{8}, \frac{1}{4}$
[______]

8. What fraction of the figure is shaded?
<image_placeholder> id: Q8-fig1 type: diagram linked_question: Q8 description: A rectangle divided into 12 equal parts (3 rows × 4 columns), with 5 parts shaded in a scattered pattern. labels: 12 equal parts, 5 shaded parts values: Total parts = 12, Shaded parts = 5 must_show: 12 equal rectangles in a 3×4 grid, 5 shaded rectangles clearly marked </image_placeholder>
A) $\frac{5}{12}$
B) $\frac{7}{12}$
C) $\frac{5}{7}$
D) $\frac{12}{5}$
[______]

9. $\frac{5}{6} = \frac{?}{18}$
A) 10
B) 12
C) 15
D) 18
[______]

10. Mary ate $\frac{1}{4}$ of a cake. John ate $\frac{1}{3}$ of the same cake. What fraction of the cake was eaten altogether?
A) $\frac{2}{7}$
B) $\frac{2}{12}$
C) $\frac{7}{12}$
D) $\frac{5}{12}$
[______]

Section B: Short Answer Questions (10 × 2 marks = 20 marks)

Show your working clearly and write your answers in the spaces provided.

11. Express $\frac{24}{36}$ in its simplest form.
Ans: _______________________ [2]

12. Convert $4\frac{2}{7}$ to an improper fraction.
Ans: _______________________ [2]

13. Find the missing numerator: $\frac{3}{5} = \frac{?}{35}$
Ans: _______________________ [2]

14. Compare the fractions using $>$ , $<$ , or $=$ :
$\frac{5}{8}$ ______ $\frac{3}{5}$
Ans: _______________________ [2]

15. Add: $\frac{2}{5} + \frac{3}{10}$
Give your answer in the simplest form.
Ans: _______________________ [2]

16. Subtract: $\frac{7}{9} - \frac{1}{3}$
Give your answer in the simplest form.
Ans: _______________________ [2]

17. A ribbon is $\frac{5}{6}$ m long. Mei Ling cuts off $\frac{1}{3}$ m. What is the length of the remaining ribbon?
Give your answer in the simplest form.
Ans: _______________________ [2]

18. In a class of 36 pupils, $\frac{2}{3}$ are girls. How many boys are there in the class?
Ans: _______________________ [2]

19. Peter spent $\frac{1}{5}$ of his money on a book and $\frac{2}{5}$ of his money on a pen. What fraction of his money did he have left?
Ans: _______________________ [2]

20. The figure below is made up of 16 identical squares. What fraction of the figure is shaded? Give your answer in the simplest form.
<image_placeholder> id: Q20-fig1 type: diagram linked_question: Q20 description: A 4×4 grid of 16 identical squares. 6 squares are shaded in an L-shape pattern (first column all 4 squares, plus 2 squares in the second column at the bottom). labels: 16 identical squares, 6 shaded squares values: Total squares = 16, Shaded squares = 6 must_show: 4×4 grid, 6 squares shaded forming an L-shape (column 1 all 4, column 2 bottom 2) </image_placeholder>
Ans: _______________________ [2]

End of Quiz

Answers

Primary 4 Mathematics Quiz - Fractions (Answer Key)

Total Marks: 40

Section A: Multiple Choice Questions (10 × 1 mark = 10 marks)

1. B
Explanation: To find an equivalent fraction, multiply or divide both numerator and denominator by the same number.
$\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}$
Option A: $\frac{6}{15} = \frac{2}{5}$ (incorrect)
Option C: $\frac{12}{25}$ cannot be simplified to $\frac{3}{5}$
Option D: $\frac{15}{20} = \frac{3}{4}$ (incorrect)
Common mistake: Adding the same number to numerator and denominator (e.g., $\frac{3+3}{5+3} = \frac{6}{8}$ ) does not give an equivalent fraction.

2. B
Explanation: To convert an improper fraction to a mixed number, divide the numerator by the denominator.
$17 \div 5 = 3$ remainder $2$
So $\frac{17}{5} = 3\frac{2}{5}$
Check: $3 \times 5 + 2 = 15 + 2 = 17$ ✓

3. D
Explanation: Compare fractions by finding a common denominator or converting to decimals.
$\frac{2}{3} \approx 0.667$ , $\frac{3}{5} = 0.6$ , $\frac{4}{7} \approx 0.571$ , $\frac{5}{9} \approx 0.556$
The smallest is $\frac{5}{9}$ .
Alternatively, use common denominator 315:
$\frac{2}{3} = \frac{210}{315}$ , $\frac{3}{5} = \frac{189}{315}$ , $\frac{4}{7} = \frac{180}{315}$ , $\frac{5}{9} = \frac{175}{315}$
$\frac{175}{315}$ is the smallest.

4. C
Explanation: Find a common denominator (6):
$\frac{2}{3} = \frac{4}{6}$
$\frac{4}{6} + \frac{1}{6} = \frac{5}{6}$
Common mistake: Adding numerators and denominators directly: $\frac{2+1}{3+6} = \frac{3}{9}$ (incorrect).

5. B
Explanation: $\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}$ (simplest form)
Both Option A ( $\frac{4}{8}$ ) and Option B ( $\frac{1}{2}$ ) are mathematically correct, but answers should be in simplest form unless stated otherwise. $\frac{1}{2}$ is the simplest form.

6. B
Explanation: An improper fraction has a numerator greater than or equal to the denominator.
$\frac{4}{7}$ : proper (4 < 7)
$\frac{5}{5}$ : improper (5 = 5)
$\frac{2}{9}$ : proper (2 < 9)
$\frac{3}{10}$ : proper (3 < 10)
Note: $\frac{5}{5} = 1$ , which is a whole number, but written as a fraction it is improper.

7. B
Explanation: Convert to common denominator 8:
$\frac{1}{4} = \frac{2}{8}$ , $\frac{3}{8} = \frac{3}{8}$ , $\frac{1}{2} = \frac{4}{8}$
Order: $\frac{2}{8} < \frac{3}{8} < \frac{4}{8}$
So: $\frac{1}{4}, \frac{3}{8}, \frac{1}{2}$

8. A
Explanation: The figure has 12 equal parts, 5 are shaded.
Fraction shaded = $\frac{\text{shaded parts}}{\text{total parts}} = \frac{5}{12}$
Visual check: The diagram shows a 3×4 grid (12 rectangles) with 5 shaded.

9. C
Explanation: To find the missing numerator, multiply numerator and denominator by the same number.
Denominator: $6 \times 3 = 18$ , so multiply numerator by 3: $5 \times 3 = 15$
$\frac{5}{6} = \frac{15}{18}$

10. C
Explanation: Add the fractions eaten:
$\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}$
Common mistake: $\frac{1+1}{4+3} = \frac{2}{7}$ (Option A) is incorrect.

Section B: Short Answer Questions (10 × 2 marks = 20 marks)

11. $\frac{2}{3}$ [2]
Working:
Find the greatest common factor (GCF) of 24 and 36.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF = 12
Divide numerator and denominator by 12:
$\frac{24 \div 12}{36 \div 12} = \frac{2}{3}$
Alternative method (step-by-step):
$\frac{24}{36} = \frac{12}{18} = \frac{2}{3}$ (divide by 2, then by 6)
Marking: 1 mark for correct method (finding GCF or repeated division), 1 mark for correct answer in simplest form.

12. $\frac{30}{7}$ [2]
Working:
To convert a mixed number to an improper fraction:
Multiply the whole number by the denominator, then add the numerator.
$4 \times 7 + 2 = 28 + 2 = 30$
Improper fraction = $\frac{30}{7}$
Check: $30 \div 7 = 4$ remainder $2$ → $4\frac{2}{7}$ ✓
Marking: 1 mark for correct method ( $4 \times 7 + 2$ ), 1 mark for correct answer.

13. 21 [2]
Working:
$\frac{3}{5} = \frac{?}{35}$
Denominator multiplied by 7 ( $5 \times 7 = 35$ ), so numerator must also be multiplied by 7.
$3 \times 7 = 21$
$\frac{3}{5} = \frac{21}{35}$
Marking: 1 mark for identifying the multiplier (7), 1 mark for correct numerator (21).

14. > [2]
Working:
Compare $\frac{5}{8}$ and $\frac{3}{5}$ using common denominator 40:
$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$
$\frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40}$
Since $\frac{25}{40} > \frac{24}{40}$ , therefore $\frac{5}{8} > \frac{3}{5}$
Alternative: Cross-multiplication: $5 \times 5 = 25$ , $3 \times 8 = 24$ , $25 > 24$
Marking: 1 mark for correct comparison method, 1 mark for correct symbol (>).

15. $\frac{7}{10}$ [2]
Working:
$\frac{2}{5} + \frac{3}{10}$
Common denominator = 10
$\frac{2}{5} = \frac{4}{10}$
$\frac{4}{10} + \frac{3}{10} = \frac{7}{10}$
$\frac{7}{10}$ is already in simplest form (7 and 10 have no common factors except 1).
Marking: 1 mark for correct common denominator and conversion, 1 mark for correct answer in simplest form.

16. $\frac{4}{9}$ [2]
Working:
$\frac{7}{9} - \frac{1}{3}$
Common denominator = 9
$\frac{1}{3} = \frac{3}{9}$
$\frac{7}{9} - \frac{3}{9} = \frac{4}{9}$
$\frac{4}{9}$ is in simplest form.
Marking: 1 mark for correct common denominator and conversion, 1 mark for correct answer in simplest form.

17. $\frac{1}{2}$ m [2]
Working:
Length of ribbon = $\frac{5}{6}$ m
Cut off = $\frac{1}{3}$ m
Remaining = $\frac{5}{6} - \frac{1}{3}$
Common denominator = 6
$\frac{1}{3} = \frac{2}{6}$
$\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$ m
Marking: 1 mark for correct subtraction with common denominator, 1 mark for correct answer in simplest form with unit (m).

18. 12 [2]
Working:
Total pupils = 36
Fraction of girls = $\frac{2}{3}$
Number of girls = $\frac{2}{3} \times 36 = 24$
Number of boys = $36 - 24 = 12$
Alternative: Fraction of boys = $1 - \frac{2}{3} = \frac{1}{3}$
Number of boys = $\frac{1}{3} \times 36 = 12$
Marking: 1 mark for correct method (finding girls then subtracting, or finding fraction of boys), 1 mark for correct answer.

19. $\frac{2}{5}$ [2]
Working:
Fraction spent on book = $\frac{1}{5}$
Fraction spent on pen = $\frac{2}{5}$
Total spent = $\frac{1}{5} + \frac{2}{5} = \frac{3}{5}$
Fraction left = $1 - \frac{3}{5} = \frac{5}{5} - \frac{3}{5} = \frac{2}{5}$
Marking: 1 mark for finding total spent ( $\frac{3}{5}$ ), 1 mark for correct fraction left ( $\frac{2}{5}$ ).

20. $\frac{3}{8}$ [2]
Working:
Total squares = 16
Shaded squares = 6 (4 in first column + 2 in second column)
Fraction shaded = $\frac{6}{16}$
Simplify: $\frac{6}{16} = \frac{3}{8}$ (divide by 2)
Visual check: The 4×4 grid has 16 squares. The L-shape covers the entire first column (4 squares) and the bottom 2 squares of the second column = 6 squares.
Marking: 1 mark for correct count (6/16), 1 mark for simplifying to $\frac{3}{8}$ .

End of Answer Key