Every question here is written by Prism in the style of the tests. None is copied from a real paper, and a fresh one is drawn each time a child practises.
From foundation to exam standard
Two questions at each level. Tap an option to check it.
Foundation where a child in Year 3 or 4 starts
Question 1Aim for about 60 seconds
Round 4,022 to the nearest 100.
Show the worked answer
Answer: E, 4,000
How to work it out
Look at the digit to the right of the 100s column.
5 or more rounds up, less rounds down.
4,022 rounds to 4,000.
Why the other options are wrong
A (4,001): This is 1 more than the correct answer, so the last step of the working is out by one.
B (2,000): This is half the correct answer, 4,000. Check whether you halved when you should not have.
C (4,010): This is 10 more than the correct answer, so the tens column is out. Recheck the working.
D (4,100): Rounded up to 4,100, but the digit to the right is less than 5, so it rounds down.
Question 2Aim for about 60 seconds
Musa's old printer prints 0.791 pages a minute on average. A new printer is 100 times faster. How many pages a minute does the new printer print?
Show the worked answer
Answer: C, 79.1
How to work it out
Multiplying by 100 moves every digit 2 places to the left: 0.791 × 100 = 79.1.
Why the other options are wrong
A (0.00791): This divides by 100; faster means more pages, so multiply.
B (7.91): The digits moved one place too few.
D (791): The digits moved one place too many.
E (100.791): This adds 100 instead of multiplying.
Standard the 11 Plus standard, Year 5
Question 3Aim for about 60 seconds
Work out 5.9 × 10.
Show the worked answer
Answer: B, 59
How to work it out
Multiplying by 10 moves every digit 1 place to the left: 5.9 × 10 = 59.
Why the other options are wrong
A (69): This is 10 more than the correct answer, so the tens column is out. Recheck the working.
C (590): This is 5.9 × 100: the digits moved one place too many.
D (6): This is 5.9 × 1, so the digits moved too few places; you need × 10.
E (1): This is 5.9 × 0.1, which moves the digits far too few places.
Question 4Aim for about 60 seconds
Work out 304.4 × 10.
Show the worked answer
Answer: C, 3,044
How to work it out
Multiplying by 10 moves every digit 1 place to the left: 304.4 × 10 = 3044.
Why the other options are wrong
A (3,045): This is 1 more than the correct answer, so the last step of the working is out by one.
B (30,440): This is 304.4 × 100: the digits moved one place too many.
D (30): This is 304.4 × 0.1, which moves the digits far too few places.
E (304): This is 304.4 × 1, so the digits moved too few places; you need × 10.
Exam standard what the papers ask in Year 6
Question 5Aim for about 60 seconds
Round 8.799 to 2 decimal places.
Show the worked answer
Answer: B, 8.80
How to work it out
Keep 2 digits after the point and look at the next one: 5 or more rounds up.
8.799 becomes 8.80.
Why the other options are wrong
A (8.79): Cut off after 2 decimal places, but the next digit is 5 or more, so it rounds up.
C (8.70): This is 0.10 less than the correct answer. No common slip leads to it, so recheck the working.
D (8.81): This is 0.01 more than the correct answer. No common slip leads to it, so recheck the working.
E (17.60): This is double the correct answer, 8.80. Check whether you doubled when you should not have.
Question 6Aim for about 60 seconds
At night the temperature was -3°C. By midday it was 7°C. How many degrees did it rise?
Show the worked answer
Answer: C, 10°C
How to work it out
From -3°C up to 0°C is 3 degrees, then up to 7°C is 7 more: 3 + 7 = 10 degrees.
Why the other options are wrong
A (7°C): This is the midday temperature itself, not the rise from -3°C.
B (3°C): This only counts from -3°C up to 0°C; the rise carries on up to 7°C.
D (9°C): This is 1°C less than the correct answer, so the last step of the working is out by one.
E (4°C): This is the difference between 3 and 7. The rise crosses 0°C, so add them.
Prism starts with a free assessment across maths, English, verbal and non-verbal reasoning, then builds a weekly plan for your target schools. Parents follow progress free.