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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 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 skillsFind the greatest common factor of 21 and 12.
2Number skillsWhat is the value of the hundreds digit in 5828?
3Arithmetic47 + 299 = ?
4Arithmetic39 + □ = 227
5Fractions7/4 × 12/3 = ?
6FractionsFind 6/7 of 126.
7Decimals7.23 + 36.46 = ?
8DecimalsWrite 89/10 as a decimal.
9GeometryA rectangle has area 96 cm² and length 4 cm. Find its width in cm.
cm
10GeometryTwo non-overlapping rectangular boxes measure 11×7×8 cm and 2×5×8 cm. Find their total volume in cm³.
cm³
11Measurement & timeConvert 31.88 metres to centimetres.
cm
12Measurement & timeAn activity starts at 15:23 and ends at 17:00 on the same day (24-hour clock). How many minutes does it last?
min
13Statistics & probabilityFind the range of: 82, 45, 115, 147, 46, 100.
14Statistics & probabilityA bag contains 20 red counters and 27 blue counters. One counter is drawn at random. What is the probability of red?

From Grade 4

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

15Arithmetic (Grade 4)Find the missing number: 24 + □ = 40 + 3.
16Measurement & time (Grade 4)Convert 7 hours and 5 minutes to minutes.
min