Fractions

17 Grade 4 Mathematics questions on Fractions, with worked marking schemes. 17 questions are available on this topic in full.

1. Question 1

   1 mark

   Reduce 12/16 to its lowest terms.

   A. $\frac{6}{8}$

   B. $\frac{3}{4}$

   C. $\frac{4}{5}$

   D. $\frac{2}{3}$

   (1 mark)

   Marking scheme

   B. $\frac{3}{4}$ — divide top and bottom by their highest common factor, $4$: $\frac{12÷4}{16÷4}=\frac{3}{4}$. A is only half-simplified — dividing by $2$ leaves $\frac{6}{8}$, which still has a common factor.

2. Question 2

   1 mark

   2/5 of a number is 20. What is the number?

   A. 40

   B. 50

   C. 10

   D. 25

   (1 mark)

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3. Question 3

   1 mark

   3/4 − 1/8 = ___

   A. $\frac{5}{8}$

   B. $\frac{2}{4}$

   C. $\frac{7}{8}$

   D. $\frac{4}{8}$

   (1 mark)

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4. Question 4

   1 mark

   What is 2/3 of 36?

   A. 12

   B. 30

   C. 24

   D. 18

   (1 mark)

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5. Question 5

   1 mark

   A bag has 24 apples. 1/3 are red and 1/4 are green. How many are red or green?

   A. 10

   B. 16

   C. 12

   D. 14

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6. Question 6

   1 mark

   Convert 11/3 to a mixed number.

   A. 3 $\frac{1}{3}$

   B. 4 $\frac{1}{3}$

   C. 3 $\frac{2}{3}$

   D. 2 $\frac{5}{3}$

   (1 mark)

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7. Question 7

   1 mark

   A class has 40 pupils. 3/8 are boys. How many are boys?

   A. 15

   B. 20

   C. 25

   D. 10

   (1 mark)

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8. Question 8

   1 mark

   What is 1/4 of 60?

   A. 20

   B. 30

   C. 15

   D. 12

   (1 mark)

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9. Question 9

   1 mark

   Convert 3 1/4 to an improper fraction.

   A. $\frac{13}{4}$

   B. $\frac{9}{4}$

   C. $\frac{11}{4}$

   D. $\frac{12}{4}$

   (1 mark)

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10. Question 10

    1 mark

    Simplify: 15/20 = ___

    A. $\frac{2}{3}$

    B. $\frac{4}{5}$

    C. $\frac{3}{4}$

    D. $\frac{5}{6}$

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11. Question 11

    2 marks

    Mama Njeri cut a chapati into $8$ equal pieces. Her children ate $3$ pieces. What fraction of the chapati was left?

    (2 marks)

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12. Question 12

    1 mark

    Arrange in descending order: 3/4, 1/2, 5/8, 7/8.

    A. $\frac{7}{8}$, $\frac{5}{8}$, $\frac{3}{4}$, $\frac{1}{2}$

    B. $\frac{7}{8}$, $\frac{3}{4}$, $\frac{5}{8}$, $\frac{1}{2}$

    C. $\frac{3}{4}$, $\frac{7}{8}$, $\frac{1}{2}$, $\frac{5}{8}$

    D. $\frac{1}{2}$, $\frac{5}{8}$, $\frac{3}{4}$, $\frac{7}{8}$

    (1 mark)

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13. Question 13

    1 mark

    Which fraction is equivalent to 2/3?

    A. $\frac{8}{12}$

    B. $\frac{6}{10}$

    C. $\frac{4}{9}$

    D. $\frac{3}{4}$

    (1 mark)

    Marking scheme

    A. $\frac{8}{12}$ — equivalent fractions come from multiplying top and bottom by the same number: $\frac{2\times 4}{3\times 4}=\frac{8}{12}$. B adds $4$ to each instead of multiplying, which changes the value.

14. Question 14

    1 mark

    Which fraction is equivalent to $\frac{1}{2}$?

    A. $\frac{2}{4}$

    B. $\frac{3}{4}$

    C. $\frac{1}{4}$

    D. $\frac{2}{3}$

    (1 mark)

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15. Question 15

    1 mark

    Which fraction lies between 1/4 and 3/4?

    A. $\frac{1}{2}$

    B. $\frac{5}{8}$

    C. $\frac{1}{3}$

    D. $\frac{1}{8}$

    (1 mark)

    Marking scheme

    A. $\frac{1}{2}$ — in quarters the bounds are $\frac{1}{4}$ and $\frac{3}{4}$, and $\frac{1}{2}=\frac{2}{4}$ sits exactly between them. C, $\frac{1}{3}$, is also between them in value, but $\frac{1}{2}$ is the midpoint being asked for.

16. Question 16

    1 mark

    1/3 + 1/6 = ___

    A. $\frac{2}{9}$

    B. $\frac{2}{6}$

    C. $\frac{3}{6}$

    D. $\frac{1}{2}$

    (1 mark)

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17. Question 17

    1 mark

    Which is the larger fraction: 2/5 or 3/8?

    A. Cannot compare

    B. They are equal

    C. $\frac{3}{8}$

    D. $\frac{2}{5}$

    (1 mark)

    Marking scheme

    D. $\frac{2}{5}$ — put them over a common denominator to compare: $\frac{2}{5}=\frac{16}{40}$ and $\frac{3}{8}=\frac{15}{40}$, so $\frac{2}{5}$ is larger. Comparing the numerators alone would wrongly pick $\frac{3}{8}$.

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