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 35 seconds
Find the number that makes both sides of the sum equal.
18 + 10 = ? + 25
Show the worked answer
Answer: D, 3
How to work it out
Work out the side with no gap: 18 + 10 = 28.
The other side must also make 28: 3 + 25 = 28.
The missing number is 3.
Why the other options are wrong
A (28): 28 is the value of the left side, not the missing number. Put 28 in the gap and the right side makes 53, not 28.
B (53): With 53 in the gap the right side makes 78, not 28. Both sides must be equal.
C (25): With 25 in the gap the right side makes 50, not 28. Both sides must be equal.
E (700): With 700 in the gap the right side makes 725, not 28. Both sides must be equal.
Question 2Aim for about 35 seconds
Find the number that makes both sides of the sum equal.
9 + 9 = ? + 1
Show the worked answer
Answer: B, 17
How to work it out
Work out the side with no gap: 9 + 9 = 18.
The other side must also make 18: 17 + 1 = 18.
The missing number is 17.
Why the other options are wrong
A (16): With 16 in the gap the right side makes 17, not 18. Both sides must be equal.
C (18): 18 is the value of the left side, not the missing number. Put 18 in the gap and the right side makes 19, not 18.
D (1): With 1 in the gap the right side makes 2, not 18. Both sides must be equal.
E (19): With 19 in the gap the right side makes 20, not 18. Both sides must be equal.
Standard the 11 Plus standard, Year 5
Question 3Aim for about 35 seconds
Find the number that makes both sides of the sum equal.
12 × 3 = 108 ÷ ?
Show the worked answer
Answer: A, 3
How to work it out
Work out the side with no gap: 12 × 3 = 36.
The other side must also make 36: 108 ÷ 3 = 36.
The missing number is 3.
Why the other options are wrong
B (72): With 72 in the gap the right side makes 1.5, not 36. Both sides must be equal.
C (36): 36 is the value of the left side, not the missing number. Put 36 in the gap and the right side makes 3, not 36.
D (108): With 108 in the gap the right side makes 1, not 36. Both sides must be equal.
E (144): With 144 in the gap the right side makes 0.75, not 36. Both sides must be equal.
Question 4Aim for about 35 seconds
Find the number that makes both sides of the sum equal.
31 − 16 = ? ÷ 2
Show the worked answer
Answer: A, 30
How to work it out
Work out the side with no gap: 31 − 16 = 15.
The other side must also make 15: 30 ÷ 2 = 15.
The missing number is 30.
Why the other options are wrong
B (2): With 2 in the gap the right side makes 1, not 15. Both sides must be equal.
C (15): 15 is the value of the left side, not the missing number. Put 15 in the gap and the right side makes 7.5, not 15.
D (13): With 13 in the gap the right side makes 6.5, not 15. Both sides must be equal.
E (17): With 17 in the gap the right side makes 8.5, not 15. Both sides must be equal.
Exam standard what the papers ask in Year 6
Question 5Aim for about 35 seconds
Find the number that makes both sides of the sum equal.
8 × 3 + 6 = 5 × ?
Show the worked answer
Answer: D, 6
How to work it out
Work out the side with no gap: 8 × 3 + 6 = 30.
The other side must also make 30: 5 × 6 = 30.
The missing number is 6.
Why the other options are wrong
A (35): With 35 in the gap the right side makes 175, not 30. Both sides must be equal.
B (25): With 25 in the gap the right side makes 125, not 30. Both sides must be equal.
C (30): 30 is the value of the left side, not the missing number. Put 30 in the gap and the right side makes 150, not 30.
E (5): With 5 in the gap the right side makes 25, not 30. Both sides must be equal.
Question 6Aim for about 35 seconds
Find the number that makes both sides of the sum equal.
3 × 5 − 5 = 18 − ?
Show the worked answer
Answer: B, 8
How to work it out
Work out the side with no gap: 3 × 5 − 5 = 10.
The other side must also make 10: 18 − 8 = 10.
The missing number is 8.
Why the other options are wrong
A (18): With 18 in the gap the right side makes 0, not 10. Both sides must be equal.
C (28): With 28 in the gap the right side makes −10, not 10. Both sides must be equal.
D (180): With 180 in the gap the right side makes −162, not 10. Both sides must be equal.
E (10): 10 is the value of the left side, not the missing number. Put 10 in the gap and the right side makes 8, not 10.
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