Fractions

17 Grade 5 Mathematics questions on Fractions, with worked marking schemes. 17 questions are available on this topic in full.

1. Question 1

   2 marks

   Mama Njeri had $\frac{7}{8}$ of a cake left. She gave away $\frac{1}{4}$ of a whole cake to her neighbour. What fraction of the cake remained?

   (2 marks)

   Marking scheme for this question

   Create a free account to see it

2. Question 2

   1 mark

   Reduce 18/24 to its lowest terms.

   A. $\frac{9}{12}$

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

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

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

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

3. Question 3

   1 mark

   Work out $\frac{3}{4}+\frac{1}{8}$.

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

   B. $\frac{7}{12}$

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

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

   (1 mark)

   Marking scheme

   C. $\frac{7}{8}$ — eighths and quarters need a common denominator, and $8$ works because $4$ divides into it: $\frac{3}{4}=\frac{6}{8}$, so $\frac{6}{8}+\frac{1}{8}=\frac{7}{8}$. The option $\frac{4}{12}$ is the classic error of adding tops and bottoms across the bar — that is never how fractions add.

4. Question 4

   1 mark

   1/2 + 1/4 = ___

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

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

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

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

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

5. Question 5

   1 mark

   Arrange in descending order: 1/2, 3/8, 5/6, 2/3.

   A. $\frac{5}{6}$, $\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{8}$

   B. $\frac{5}{6}$, $\frac{2}{3}$, $\frac{1}{2}$, $\frac{3}{8}$

   C. $\frac{2}{3}$, $\frac{5}{6}$, $\frac{1}{2}$, $\frac{3}{8}$

   D. $\frac{1}{2}$, $\frac{3}{8}$, $\frac{2}{3}$, $\frac{5}{6}$

   (1 mark)

   Marking scheme

   B. $\frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{3}{8}$ — compare as decimals or over a common denominator: $0.833,0.667,0.5,0.375$. 'Descending' means largest first; a bigger denominator does not mean a bigger fraction.

6. Question 6

   1 mark

   Which of these is a proper fraction?

   A. $\frac{4}{7}$

   B. 1

   C. $\frac{7}{4}$

   D. $\frac{9}{9}$

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

7. Question 7

   1 mark

   2/5 + 3/10 = ___

   A. $\frac{7}{10}$

   B. $\frac{5}{15}$

   C. $\frac{5}{10}$

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

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

8. Question 8

   1 mark

   Which fraction is greater: 5/6 or 7/8?

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

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

   C. Cannot compare

   D. They are equal

   (1 mark)

   Marking scheme

   A. $\frac{7}{8}$ — put them over a common denominator of $24$: $\frac{20}{24}$ against $\frac{21}{24}$. Both are one piece short of a whole, and eighths are the bigger pieces, so $\frac{7}{8}$ is nearer to $1$.

9. Question 9

   1 mark

   1/2 ÷ 1/4 = ___

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

   B. 2

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

   D. 4

   (1 mark)

   Marking scheme

   B. $2$ — dividing by a fraction means multiplying by its reciprocal: $\frac{1}{2}\times \frac{4}{1}=2$. It asks how many quarters fit in a half, and the answer is two. A multiplies instead of using the reciprocal.

10. Question 10

    1 mark

    What is 3/5 of 40?

    A. 24

    B. 30

    C. 20

    D. 28

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

11. Question 11

    1 mark

    3/4 − 1/6 = ___

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

    B. $\frac{7}{12}$

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

    D. $\frac{5}{12}$

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

12. Question 12

    1 mark

    Convert 17/4 to a mixed number.

    A. 5 $\frac{1}{4}$

    B. 3 $\frac{5}{4}$

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

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

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

13. Question 13

    1 mark

    Which fraction is equivalent to 3/4?

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

    B. $\frac{9}{12}$

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

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

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

14. Question 14

    1 mark

    A bag of rice is 3/4 full. How much is in 4 such bags?

    A. 3 bags

    B. 2 bags

    C. 4 bags

    D. 12 bags

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

15. Question 15

    1 mark

    2/3 × 3/4 = ___

    A. $\frac{6}{12}$

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

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

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

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

16. Question 16

    1 mark

    5/8 − 1/4 = ___

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

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

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

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

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

17. Question 17

    1 mark

    Convert 2 3/5 to an improper fraction.

    A. $\frac{12}{5}$

    B. $\frac{11}{5}$

    C. $\frac{7}{5}$

    D. $\frac{13}{5}$

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

18. 13 more marking schemes are on this page. A free account opens all of them, and lets you build your own paper on the topics you have actually taught, laid out in KNEC format with its full marking scheme.

    Create a free account

More Grade 5 Mathematics topics