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 3 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 86 and 66.

Your answer

2Number skills|296| = ?

Your answer

3ArithmeticThere are 15 boxes with 9 pencils in each. How many pencils are there altogether?

Your answer

4Arithmetic71 + 10 × 11 = ?

Your answer

5FractionsCalculate 8 4/6 − 6 2/6. Give a fraction in simplest form.

Your answer

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

6FractionsWhich ratio is equivalent to 3:5?

A. 3:10B. 9:10C. 12:20D. 6:15

7AlgebraWhat comes next? 60, 72, 84, 96, …

Your answer

8Algebray = kx. When x = 20, y = 220. Find y when x = 83.

Your answer

9GeometryTwo interior angles of a triangle are 73° and 62°. Find the third angle in degrees.

Your answer°

10GeometryA triangle has base 67 cm and perpendicular height 13 cm. Find its area in cm².

Your answercm²

11Measurement & timeConvert 73.9 kg to g.

Your answerg

12Measurement & timeConvert 34.07 metres to centimetres.

Your answercm

13Statistics & probabilityA bag contains 22 red counters and 10 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

14Statistics & probabilityFind the median of 51, 97, 10, 8, 81.

Your answer

From Grade 5

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

15Geometry (Grade 5)A square has side 96 cm. Find its perimeter in cm.

Your answercm

16Number skills (Grade 5)What is the value of the hundreds digit in 5671?

Your answer