Grade 7 · Mathematics

Grade 7 Mathematics diagnostic

16 questions on arithmetic, fractions, decimals, percentages, algebra, geometry and statistics & probability, plus 2 from Grade 6. Answer what you can, then check your answers to see which topics are secure and what to practise next.

16 questions7 topicsAbout 20 minutesSet 5 of 5

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

1Arithmetic(-169) + 158 = ?

Your answer

2Arithmetic(65) − (-8) = ?

Your answer

3FractionsCalculate 8 7/12 − 4 9/12. Give a fraction in simplest form.

Your answer

Give your answer as a fraction, for example 3/4.

4Fractions3/16 × 1/6 = ?

Your answer

5Decimals38 ÷ 1 = ?

Your answer

6Decimals39.3 × 44 = ?

Your answer

7PercentagesWrite 84% as a fraction in simplest form.

Your answer

Give your answer as a fraction, for example 3/4.

8PercentagesA quantity starts at 6000, increases by 20%, then decreases by 10%. Find the final quantity.

Your answer

9AlgebraEvaluate 3x + 16 when x = 1.

Your answer

10AlgebraSolve for x: 2x + 17 = -1

Your answer

11GeometryFind the volume of a cuboid measuring 26 cm × 15 cm × 2 cm, in cm³.

Your answercm³

12GeometryFind the area of a 43 cm by 26 cm rectangle, in cm².

Your answercm²

13Statistics & probabilityFind the mean of 49, 28, 9, 42.

Your answer

14Statistics & probabilityA bag contains 22 red counters and 34 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

From Grade 6

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

15Arithmetic (Grade 6)46 × 2 = ?

Your answer

16Measurement & time (Grade 6)Convert 16.24 metres to centimetres.

Your answercm