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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 2 of 5

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

1Arithmetic11 + 16 × 12 = ?
2Arithmetic(-38) × (-24) = ?
3Fractions1/11 + 5/13 = ?
4FractionsSimplify 77/132.

Fractions must be in lowest terms.

5Decimals11.1 × 5 = ?
6Decimals14.3 ÷ 1.3 = ?
7PercentagesA quantity starts at 1200, increases by 10%, then decreases by 40%. Find the final quantity.
8PercentagesA value increases from 580 to 730.8. What is the percentage increase?
%
9AlgebraSolve for x: 19x + 44 = -222
10Algebray = kx. When x = 14, y = 98. Find y when x = 88.
11GeometryFind the volume of a cuboid measuring 7 cm × 6 cm × 8 cm, in cm³.
cm³
12GeometryA triangle has base 17 cm and perpendicular height 22 cm. Find its area in cm².
cm²
13Statistics & probabilityFind the range of: 52, 3, 62, 78, 68, 128.
14Statistics & probabilityFind the median of 20, 92, 39, 65, 97.

From Grade 6

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

15Fractions (Grade 6)11/16 = □/192
16Geometry (Grade 6)A rectangle has area 180 cm² and length 12 cm. Find its width in cm.
cm