Fractions

18 Grade 3 Mathematics questions on Fractions, with worked marking schemes. 18 questions are available on this topic in full.

1. Question 1

   2 marks

   Write 3/4 as eighths.

   (2 marks)

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2. Question 2

   2 marks

   Arrange in ascending order: 1/4, 3/4, 1/8, 5/8.

   (2 marks)

   Marking scheme

   Write them all in eighths so they can be compared: $\frac{1}{4}=\frac{2}{8}$ and $\frac{3}{4}=\frac{6}{8}$, while $\frac{1}{8}$ and $\frac{5}{8}$ stay as they are. (1)

   Now order the numerators: $1,2,5,6$. (1)

   Final answer: $\frac{1}{8}$, $\frac{1}{4}$, $\frac{5}{8}$, $\frac{3}{4}$.

3. Question 3

   2 marks

   Kimani ate 3/8 of a cake and Amina ate 2/8 of the same cake. What fraction did they eat together?

   (2 marks)

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4. Question 4

   1 mark

   Which fraction is larger, $\frac{1}{2}$ or $\frac{1}{4}$?

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

   B. They are equal

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

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

   (1 mark)

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5. Question 5

   1 mark

   Write the fraction for the shaded part: a shape divided into 4 equal parts, 1 part shaded.

   (1 mark)

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6. Question 6

   1 mark

   Add: 2/4 + 1/4 = ___

   (1 mark)

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7. Question 7

   2 marks

   There are 16 pupils in a class. 1/4 of them are absent. How many pupils are absent?

   (2 marks)

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8. Question 8

   2 marks

   What fraction is 1/2 of 1/4?

   (2 marks)

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9. Question 9

   1 mark

   A chapati is cut into $4$ equal parts. Achieng eats $1$ part. What fraction of the chapati is left?

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

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

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

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

   (1 mark)

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10. Question 10

    2 marks

    Add: 1/8 + 3/8 = ___

    (2 marks)

    Marking scheme

    The denominators are the same, so add the numerators and keep the denominator: $\frac{1}{8}+\frac{3}{8}=\frac{4}{8}$. (1)

    Reduce by dividing top and bottom by $4$: $\frac{4}{8}=\frac{1}{2}$. (1)

    Final answer: $\frac{1}{2}$.

11. Question 11

    1 mark

    Shade 3/4 of a rectangle divided into 4 equal parts. How many parts are shaded?

    (1 mark)

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12. Question 12

    2 marks

    Work out $\frac{1}{5}+\frac{2}{5}$.

    (2 marks)

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13. Question 13

    2 marks

    Reduce 6/8 to its lowest terms.

    (2 marks)

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14. Question 14

    1 mark

    What fraction of 12 is 3?

    (1 mark)

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15. Question 15

    2 marks

    Write an equivalent fraction for 1/2 with a denominator of 8.

    (2 marks)

    Marking scheme

    To turn the denominator $2$ into $8$, multiply it by $4$. (1)

    Whatever you do to the bottom you must do to the top, so multiply the numerator by $4$ as well: $\frac{1\times 4}{2\times 4}=\frac{4}{8}$. (1)

    Final answer: $\frac{4}{8}$.

16. Question 16

    2 marks

    A bag has 24 oranges. 1/3 of them are ripe. How many oranges are ripe?

    (2 marks)

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17. Question 17

    1 mark

    Which fraction is larger: 3/4 or 1/4?

    (1 mark)

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18. Question 18

    2 marks

    Subtract: 5/8 − 2/8 = ___

    (2 marks)

    Marking scheme

    The denominators are the same, so subtract the numerators and keep the denominator: $\frac{5}{8}-\frac{2}{8}$. (1)

    $5-2=3$, giving $\frac{3}{8}$, which is already in its lowest terms. (1)

    Final answer: $\frac{3}{8}$.

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