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Grade 5 · Mathematics

Grade 5 Mathematics diagnostic

16 questions on number skills, arithmetic, fractions, decimals, geometry, measurement & time and statistics & probability, plus 2 from Grade 4. 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 106 and 26.
2Number skillsFind the least common multiple of 28 and 27.
3ArithmeticWhat is the remainder when 314 is divided by 12?
4Arithmetic173 + 467 = ?
5Fractions6/18 + 4/14 = ?
6Fractions3/13 = □/65
7Decimals8.3 × 29 = ?
8Decimals43.72 + 12.99 = ?
9GeometryA rectangle has area 100 cm² and length 20 cm. Find its width in cm.
cm
10GeometryFind the volume of a cuboid measuring 18 cm × 19 cm × 12 cm, in cm³.
cm³
11Measurement & timeAn activity starts at 06:32 and ends at 08:36 on the same day (24-hour clock). How many minutes does it last?
min
12Measurement & timeConvert 23.2 metres to centimetres.
cm
13Statistics & probabilityA bag contains 16 red counters and 28 blue counters. One counter is drawn at random. What is the probability of red?
14Statistics & probabilityFind the median of 14, 86, 73, 31, 1.

From Grade 4

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

15Arithmetic (Grade 4)Find the missing number: 2 + □ = 24 + 4.
16Measurement & time (Grade 4)Convert 2 hours and 44 minutes to minutes.
min