StudyBrixFree worksheets, study guides and courses

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 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 3 and 10.
2Number skillsWhat is the value of the hundreds digit in 4553?
3Arithmetic122 + □ = 209
4Arithmetic26 × 22 = ?
5Fractions1/18 × 1/11 = ?
6Fractions11/12 + 2/10 = ?
7Decimals17.1 × 17 = ?
8Decimals27.91 + 44.02 = ?
9GeometryTwo non-overlapping rectangular boxes measure 3×6×6 cm and 4×2×3 cm. Find their total volume in cm³.
cm³
10GeometryTwo interior angles of a triangle are 65° and 40°. Find the third angle in degrees.
°
11Measurement & timeAn activity starts at 07:49 and ends at 09:45 on the same day (24-hour clock). How many minutes does it last?
min
12Measurement & timeConvert 38.18 metres to centimetres.
cm
13Statistics & probabilityFind the median of 80, 11, 84, 10, 80.
14Statistics & probabilityFind the mean of 11, 49, 18, 46.

From Grade 4

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

15Measurement & time (Grade 4)Convert 5 hours and 41 minutes to minutes.
min
16Arithmetic (Grade 4)Find the missing number: 4 + □ = 40 + 3.