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 1 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 greatest common factor of 32 and 10.

Your answer

2Number skillsWhat is the value of the hundreds digit in 7797?

Your answer

3Arithmetic869 − 798 = ?

Your answer

4Arithmetic840 ÷ 24 = ?

Your answer

5Fractions4/2 × 6/18 = ?

Your answer

6FractionsSimplify 21/45.

Your answer

Fractions must be in lowest terms.

7Decimals11.5 × 26 = ?

Your answer

8Decimals12.9 + 43.19 = ?

Your answer

9GeometryTwo interior angles of a triangle are 73° and 49°. Find the third angle in degrees.

Your answer°

10GeometryFind the area of a 51 cm by 51 cm rectangle, in cm².

Your answercm²

11Measurement & timeConvert 99.87 metres to centimetres.

Your answercm

12Measurement & timeConvert 45.6 kg to g.

Your answerg

13Statistics & probabilityFind the mean of 44, 28, 32, 41.

Your answer

14Statistics & probabilityA bag contains 3 red counters and 10 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

From Grade 4

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

15Arithmetic (Grade 4)8 ÷ 1 = ?

Your answer

16Measurement & time (Grade 4)Convert 12 hours and 57 minutes to minutes.

Your answermin