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 4 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 least common multiple of 29 and 17.

Your answer

2Number skillsRound 4512 to the nearest hundred.

Your answer

3Arithmetic33 + 16 × 6 = ?

Your answer

4Arithmetic(-163) + 162 = ?

Your answer

5FractionsChoose <, > or =: 8/6 □ 2/3

A. =B. >C. <

6Fractions9/20 × 3/5 = ?

Your answer

7AlgebraSplit 68 in the ratio 8:9. What is the first share?

Your answer

8AlgebraSolve for x: 28x = -1344

Your answer

9GeometryA rectangle has area 300 cm² and length 30 cm. Find its width in cm.

Your answercm

10GeometryTwo interior angles of a triangle are 68° and 30°. Find the third angle in degrees.

Your answer°

11Measurement & timeConvert 39.75 metres to centimetres.

Your answercm

12Measurement & timeConvert 40.7 kg to g.

Your answerg

13Statistics & probabilityFind the mean of 49, 49, 32, 27.

Your answer

14Statistics & probabilityA bag contains 5 red counters and 12 blue counters. One counter is drawn at random. What is the probability of red?

Your answer

From Grade 5

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

15Fractions (Grade 5)11/15 + □ = 1

Your answer

16Number skills (Grade 5)What is the value of the hundreds digit in 1943?

Your answer