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 5 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|-151| = ?

Your answer

2Number skillsFind the least common multiple of 9 and 4.

Your answer

3Arithmetic(-16) − (62) = ?

Your answer

4Arithmetic(-29) × (-2) = ?

Your answer

5Fractions6/2 ÷ 3/7 = ?

Your answer

6FractionsCalculate 3 2/10 − 1 1/10. Give a fraction in simplest form.

Your answer

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

7AlgebraEvaluate 5x + 16 when x = -15.

Your answer

8Algebray = kx. When x = 16, y = 176. Find y when x = 64.

Your answer

9GeometryFind the area of a 30 cm by 47 cm rectangle, in cm².

Your answercm²

10GeometryA rectangle has area 462 cm² and length 33 cm. Find its width in cm.

Your answercm

11Measurement & timeConvert 82.6 kg to g.

Your answerg

12Measurement & timeAn activity starts at 15:53 and ends at 18:36 on the same day (24-hour clock). How many minutes does it last?

Your answermin

13Statistics & probabilityA bag contains 25 red counters and 33 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

14Statistics & probabilityFind the median of 72, 23, 47, 68, 80.

Your answer

From Grade 5

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

15Number skills (Grade 5)What is the value of the hundreds digit in 8655?

Your answer

16Fractions (Grade 5)2/12 + □ = 1

Your answer