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 4 of 5

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

1Arithmetic75 + 3 × 6 = ?

Your answer

2Arithmetic(19) − (-92) = ?

Your answer

3Fractions19/20 − 12/20 = ?

Your answer

4FractionsCalculate 8 2/4 − 2 1/4. Give a fraction in simplest form.

Your answer

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

5Decimals60 ÷ 1.2 = ?

Your answer

6Decimals21.6 + 35.41 = ?

Your answer

7Percentages10% of a number is 14. What is the number?

Your answer

8PercentagesA value increases from 780 to 928.2. What is the percentage increase?

Your answer%

9AlgebraSolve for x: 6x + 28 = -44

Your answer

10AlgebraSolve for x: 7x = -147

Your answer

11GeometryFind the volume of a cuboid measuring 13 cm × 25 cm × 18 cm, in cm³.

Your answercm³

12GeometryA triangle has base 49 cm and perpendicular height 49 cm. Find its area in cm².

Your answercm²

13Statistics & probabilityA bag contains 8 red counters and 9 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

14Statistics & probabilityFind the median of 68, 28, 71, 32, 31.

Your answer

From Grade 6

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

15Fractions (Grade 6)6/13 = □/26

Your answer

16Measurement & time (Grade 6)Convert 47.5 kg to g.

Your answerg