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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 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(-92) + 3 = ?
2Arithmetic(-9) × (-3) = ?
3PercentagesFind 37% of 640.
4Percentages75% of a number is 435. What is the number?
5AlgebraWhat comes next? 17, 21, 25, 29, …
6AlgebraSolve for x: 25x = 850
7Powers & rootsFind n: 3^8 ÷ 3^7 = 3^n.
8Powers & roots∛(216) = ?
9Coordinate geometryFind the slope through (2, -7) and (3, -11).
10Coordinate geometryReflect (-1, 1) in x = -6. What is the new x-coordinate?
11GeometryA triangle has base 48 cm and perpendicular height 30 cm. Find its area in cm².
cm²
12GeometryA shape has area 13 cm². All lengths are multiplied by 8. Find the new area in cm².
cm²
13Statistics & probabilityP(A) = 4/8. Find P(not A).
14Statistics & probabilityData: 20, 26, 32, 38, 44, 50, 56, 62. Using medians of the lower four and upper four values, find the interquartile range.

From Grade 7

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

15Fractions (Grade 7)Simplify 60/108.

Fractions must be in lowest terms.

16Statistics & probability (Grade 7)Find the mode of 2, 4, 4, 5, 7.