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Grade 6 · Mathematics

Grade 6 Mathematics diagnostic

16 questions on number skills, arithmetic, fractions, algebra, geometry, measurement & time and statistics & probability, plus 2 from Grade 5. 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.

1Number skills|-432| = ?
2Number skillsFind the greatest common factor of 125 and 50.
3Arithmetic5 × 8 = ?
4ArithmeticThere are 34 boxes with 6 pencils in each. How many pencils are there altogether?
5FractionsChoose <, > or =: 12/15 □ 8/9
6Fractions3/20 ÷ 3/5 = ?
7AlgebraWhat comes next? 77, 99, 121, 143, …
8AlgebraSplit 99 in the ratio 2:9. What is the first share?
9GeometryTwo non-overlapping rectangular boxes measure 11×8×7 cm and 7×6×6 cm. Find their total volume in cm³.
cm³
10GeometryA triangle has base 39 cm and perpendicular height 60 cm. Find its area in cm².
cm²
11Measurement & timeConvert 94.46 metres to centimetres.
cm
12Measurement & timeAn activity starts at 05:31 and ends at 08:14 on the same day (24-hour clock). How many minutes does it last?
min
13Statistics & probabilityFind the range of: 112, 125, 95, 142, 11, 60.
14Statistics & probabilityFind the mean of 50, 17, 27, 31.

From Grade 5

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

15Geometry (Grade 5)A square has side 76 cm. Find its perimeter in cm.
cm
16Arithmetic (Grade 5)298 + □ = 485