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 1 of 5

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

1Arithmetic(-40) × (-17) = ?

Your answer

2Arithmetic(-9) − (-20) = ?

Your answer

3FractionsSimplify 98/105.

Your answer

Fractions must be in lowest terms.

4Fractions4/6 ÷ 9/3 = ?

Your answer

5Decimals44 ÷ 0.8 = ?

Your answer

6Decimals22.4 × 29 = ?

Your answer

7PercentagesFind 36% of 180.

Your answer

8PercentagesA value increases from 900 to 954. What is the percentage increase?

Your answer%

9AlgebraSolve for x: 23x = -345

Your answer

10AlgebraEvaluate 7x + 9 when x = -13.

Your answer

11GeometryA trapezoid has parallel sides 10 cm and 29 cm and height 19 cm. Find its area in cm².

Your answercm²

12GeometryTwo non-overlapping rectangular boxes measure 5×2×3 cm and 7×2×2 cm. Find their total volume in cm³.

Your answercm³

13Statistics & probabilityP(A) = 21/34. Find P(not A).

Your answer

14Statistics & probabilityFind the median of 96, 43, 18, 20, 39.

Your answer

From Grade 6

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

15Number skills (Grade 6)Round 8617 to the nearest hundred.

Your answer

16Fractions (Grade 6)9/10 = □/30

Your answer