Grade 8 · Mathematics

Grade 8 Mathematics diagnostic

16 questions on arithmetic, percentages, algebra, powers & roots, coordinate geometry, geometry and statistics & probability, plus 2 from Grade 7. Answer what you can, then check your answers to see which topics are secure and what to practise next.

16 questions7 topicsAbout 20 minutesSet 2 of 5

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

1Arithmetic29 + 9 × 15 = ?

Your answer

2Arithmetic(-170) + 49 = ?

Your answer

3PercentagesFind 70% of 790.

Your answer

4PercentagesA quantity starts at 3500, increases by 10%, then decreases by 10%. Find the final quantity.

Your answer

5AlgebraSolve for x: 13x + 17 = 628

Your answer

6Algebray = kx. When x = 12, y = 24. Find y when x = 81.

Your answer

7Powers & rootsFind n: 19^8 × 19^9 = 19^n.

Your answer

8Powers & roots∛(1000) = ?

Your answer

9Coordinate geometryFind the slope through (-3, 6) and (5, 70).

Your answer

10Coordinate geometryReflect (0, -3) in x = -3. What is the new x-coordinate?

Your answer

11GeometryA cone has radius 3 cm and height 90 cm. Use π = 3.14. Find its volume in cm³.

Your answercm³

12GeometryA shape has area 20 cm². All lengths are multiplied by 3. Find the new area in cm².

Your answercm²

13Statistics & probabilityFind the median of 95, 30, 92, 67, 71.

Your answer

14Statistics & probabilityFind the mean of 20, 24, 18, 35.

Your answer

From Grade 7

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

15Fractions (Grade 7)Choose <, > or =: 6/17 □ 7/11

A. =B. <C. >

16Statistics & probability (Grade 7)Find the median of 3, 5, 9, 11.

Your answer