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Grade 4 · Mathematics

Grade 4 Mathematics diagnostic

16 questions on number skills, arithmetic, fractions, decimals, geometry, measurement & time and statistics & probability, plus 2 from Grade 3. 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 skillsWhat is the value of the hundreds digit in 5787?
2Number skillsRound 9737 to the nearest hundred.
3ArithmeticThere are 35 boxes with 31 pencils in each. How many pencils are there altogether?
4Arithmetic69 + □ = 129
5Fractions11/16 + 2/17 = ?
6FractionsCalculate 9 5/8 − 8 4/8. Give a fraction in simplest form.

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

7Decimals17.06 + 4.78 = ?
8DecimalsWrite 37/10 as a decimal.
9GeometryA rectangle has area 180 cm² and length 12 cm. Find its width in cm.
cm
10GeometryFind the area of a 8 cm by 20 cm rectangle, in cm².8 cm20 cm
cm²
11Measurement & timeAn activity starts at 03:32 and ends at 04:36 on the same day (24-hour clock). How many minutes does it last?
min
12Measurement & timeConvert 34.77 metres to centimetres.
cm
13Statistics & probabilityFind the range of: 98, 126, 82, 75, 142, 142.
14Statistics & probabilityFind the median of 3, 5, 9, 11.

From Grade 3

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

15Number skills (Grade 3)Round 29 to the nearest ten.
16Statistics & probability (Grade 3)A class counts blocks: red 6, blue 7, yellow 7. How many blocks in all?