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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 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(-60) − (-44) = ?
2Arithmetic(-22) × (-16) = ?
3PercentagesA value increases from 820 to 943. What is the percentage increase?
%
4PercentagesFind 90% of 230.
5Algebray = kx. When x = 21, y = 42. Find y when x = 46.
6AlgebraSplit 80 in the ratio 9:11. What is the first share?
7Powers & rootsFind n: 10^8 × 10^10 = 10^n.
8Powers & roots√5625 = ?
9Coordinate geometryFind only the x-coordinate of the midpoint of (18, -1) and (28, 14).
10Coordinate geometryRotate (20, 27) 90° counterclockwise about the origin. Give the new x-coordinate.
11GeometryTwo non-overlapping rectangular boxes measure 10×7×7 cm and 9×5×4 cm. Find their total volume in cm³.
cm³
12GeometryA cone has radius 8 cm and height 75 cm. Use π = 3.14. Find its volume in cm³.
cm³
13Statistics & probabilityP(A) = 12/18. Find P(not A).
14Statistics & probabilityFind the mean of 31, 45, 23, 43.

From Grade 7

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

15Percentages (Grade 7)Write 16% as a fraction in simplest form.

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

16Statistics & probability (Grade 7)Find the range of 5, 9, 9, 12.