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 3 of 5

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

1Arithmetic(-38) × (-16) = ?

Your answer

2Arithmetic(-123) + 151 = ?

Your answer

3FractionsCalculate 5 1/8 − 3 7/8. Give a fraction in simplest form.

Your answer

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

4FractionsSimplify 110/154.

Your answer

Fractions must be in lowest terms.

5Decimals21.79 + 29.64 = ?

Your answer

6Decimals9 ÷ 0.6 = ?

Your answer

7PercentagesA quantity starts at 4900, increases by 20%, then decreases by 10%. Find the final quantity.

Your answer

8PercentagesA value increases from 200 to 256. What is the percentage increase?

Your answer%

9AlgebraFind the coefficient of x after simplifying 17x + 40x.

Your answer

10Algebray = kx. When x = 2, y = 30. Find y when x = 84.

Your answer

11GeometryFind the volume of a cuboid measuring 22 cm × 11 cm × 5 cm, in cm³.

Your answercm³

12GeometryTwo non-overlapping rectangular boxes measure 2×10×8 cm and 4×3×5 cm. Find their total volume in cm³.

Your answercm³

13Statistics & probabilityFind the median of 9, 93, 29, 34, 79.

Your answer

14Statistics & probabilityFind the mean of 14, 26, 17, 42.

Your answer

From Grade 6

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

15Arithmetic (Grade 6)210 ÷ 14 = ?

Your answer

16Number skills (Grade 6)Round 4856 to the nearest hundred.

Your answer