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 2 of 5

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

1Number skillsFind the greatest common factor of 142 and 19.

Your answer

2Number skills|-122| = ?

Your answer

3Arithmetic4 × 17 = ?

Your answer

4Arithmetic(-14) × (-27) = ?

Your answer

5FractionsChoose <, > or =: 6/4 □ 12/17

A. >B. <C. =

6Fractions14/16 − 8/16 = ?

Your answer

7AlgebraFind the coefficient of x after simplifying 28x + 23x.

Your answer

8AlgebraSolve for x: 8x + 14 = 70

Your answer

9GeometryA triangle has base 16 cm and perpendicular height 54 cm. Find its area in cm².

Your answercm²

10GeometryTwo non-overlapping rectangular boxes measure 12×10×5 cm and 9×6×8 cm. Find their total volume in cm³.

Your answercm³

11Measurement & timeConvert 59.4 kg to g.

Your answerg

12Measurement & timeAn activity starts at 12:47 and ends at 15:42 on the same day (24-hour clock). How many minutes does it last?

Your answermin

13Statistics & probabilityFind the range of: 101, 28, 51, 126, 105, 64.

Your answer

14Statistics & probabilityFind the median of 57, 7, 11, 10, 98.

Your answer

From Grade 5

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

15Arithmetic (Grade 5)107 + 235 = ?

Your answer

16Fractions (Grade 5)13/17 + □ = 1

Your answer