Grade 5 · Mathematics

Grade 5 Mathematics diagnostic

16 questions on number skills, arithmetic, fractions, decimals, geometry, measurement & time and statistics & probability, plus 2 from Grade 4. Answer what you can, then check your answers to see which topics are secure and what to practise next.

16 questions7 topicsAbout 20 minutesSet 3 of 5

Skip a question if you do not know the answer. It is better than guessing, because it shows what to practise.

1Number skillsFind the least common multiple of 14 and 2.

Your answer

2Number skillsWhat is the value of the hundreds digit in 7845?

Your answer

3Arithmetic809 − 63 = ?

Your answer

4Arithmetic28 × 22 = ?

Your answer

5Fractions4/19 + 1/19 = ?

Your answer

6FractionsSimplify 12/68.

Your answer

Fractions must be in lowest terms.

7Decimals9.15 + 0.9 = ?

Your answer

8Decimals48.1 × 34 = ?

Your answer

9GeometryFind the volume of a cuboid measuring 13 cm × 16 cm × 20 cm, in cm³.

Your answercm³

10GeometryA rectangle is 35 cm long and 54 cm wide. Find its perimeter in cm.

Your answercm

11Measurement & timeConvert 1.99 metres to centimetres.

Your answercm

12Measurement & timeConvert 37.1 kg to g.

Your answerg

13Statistics & probabilityFind the median of 11, 2, 52, 18, 74.

Your answer

14Statistics & probabilityFind the range of: 78, 2, 149, 100, 67, 138.

Your answer

From Grade 4

These questions check skills from the grade below, so gaps can be spotted early.

15Measurement & time (Grade 4)Convert 4 hours and 39 minutes to minutes.

Your answermin

16Arithmetic (Grade 4)20 ÷ 10 = ?

Your answer