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
25 visitors arrive. 6 visitors can fit at each boat. How many boats are needed?
Show the worked answer
Answer: B, 5
How to work it out
25 ÷ 6 = 4 remainder 1.
The 1 left over still need a boat, so 5.
Why the other options are wrong
A (4): 4 boats hold only 24; the 1 left over still need a boat.
C (15): This is 10 more than the correct answer, so the tens column is out. Recheck the working.
D (10): This is double the correct answer, 5. Check whether you doubled when you should not have.
E (6): 5 boats already hold all 25, so one more is not needed.
Question 2Aim for about 60 seconds
13 pupils arrive. 4 pupils can fit at each minibus. How many minibuses are needed?
Show the worked answer
Answer: C, 4
How to work it out
13 ÷ 4 = 3 remainder 1.
The 1 left over still need a minibus, so 4.
Why the other options are wrong
A (5): 4 minibuses already hold all 13, so one more is not needed.
B (3): 3 minibuses hold only 12; the 1 left over still need a minibus.
D (14): This is 10 more than the correct answer, so the tens column is out. Recheck the working.
E (2): This is half the correct answer, 4. Check whether you halved when you should not have.
Standard the 11 Plus standard, Year 5
Question 3Aim for about 60 seconds
Jonah spends £3.81 and pays with a £5 note. What is the smallest number of coins Jonah can get in change?
Show the worked answer
Answer: E, 5
How to work it out
The change is £5.00 − £3.81 = £1.19.
Use the biggest coin that fits each time: £1 + 10p + 5p + 2p + 2p.
That is 5 coins.
Why the other options are wrong
A (4): Check the change again: one of the amounts has been missed.
B (3): Too few coins to make the change exactly.
C (7): Use £2 and £1 coins before smaller ones.
D (6): This splits one coin into two smaller ones. Use the biggest coin that fits each time.
Question 4Aim for about 60 seconds
Zain buys 5 seed packets at 75p each and a trowel for £1.24. They pay with £5. How much change do they get?
Show the worked answer
Answer: B, £0.01
How to work it out
Seed packets: 5 × 75p = £3.75.
Total: £4.99.
Change: £5.00 − £4.99 = £0.01.
Why the other options are wrong
A (£0.00): This is half the correct answer, £0.01. Check whether you halved when you should not have.
C (£1.01): This is £1 too much change; check the total spent.
D (£0.02): This is double the correct answer, £0.01. Check whether you doubled when you should not have.
E (£3.01): This counts only one of the 5 seed packets; all 5 must be paid for.
Exam standard what the papers ask in Year 6
Question 5Aim for about 60 seconds
Aisha spends £6.89 and pays with a £10 note. What is the smallest number of coins Aisha can get in change?
Show the worked answer
Answer: D, 4
How to work it out
The change is £10.00 − £6.89 = £3.11.
Use the biggest coin that fits each time: £2 + £1 + 10p + 1p.
That is 4 coins.
Why the other options are wrong
A (2): Too few coins to make the change exactly.
B (3): Check the change again: one of the amounts has been missed.
C (5): This splits one coin into two smaller ones. Use the biggest coin that fits each time.
E (6): Use £2 and £1 coins before smaller ones.
Question 6Aim for about 60 seconds
Tickets cost £5.00 each. A group of 6 gets 10% off the total. How much does the group pay?
Show the worked answer
Answer: D, £27.00
How to work it out
Full price: 6 × £5.00 = £30.00.
10% of that is £3.00.
Take it off: £27.00.
Why the other options are wrong
A (£28.00): This is £1 too much; check the discount.
B (£27.01): This is £0.01 more than the correct answer. No common slip leads to it, so recheck the working.
C (£29.50): This takes 10% off only one ticket's price, not the whole total.
E (£30.00): This is the full price; the discount has not been taken off.
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.