Question 1Aim for about 60 seconds
Write 3/4 as a percentage.
Show the worked answer
Answer: C, 75%
How to work it out
- 3/4 = 0.75 as a decimal.
- Multiply by 100 to get 75%.
Percentages & decimals: 11 Plus maths practice
Percentages of amounts, discounts, and FDP conversions.
CoreIn almost every paper that tests this subjectAbout 60 seconds a question in the test
The big idea
“Per cent” means “out of 100”. 10% is one tenth, 50% is a half, 25% is a quarter, 1% is one hundredth.
Build tricky percentages from easy ones: 35% = 10% + 10% + 10% + 5%.
Tips that save marks
- Learn the key equivalents: 1/4 = 0.25 = 25%, 1/5 = 0.2 = 20%, 1/8 = 0.125 = 12.5%.
- For a discount, find the percentage then subtract it from the original.
- Read carefully: “reduced BY 20%” vs “reduced TO 20%”.
A worked example
Find 35% of 80.
- 10% of 80 = 8.
- 30% = 24; 5% = 4.
- 35% = 24 + 4 = 28.
Now try five
Try each one before you look at the answer: answering from memory is what makes it stick. Tap an option to check it. Most children get three or four right at first; five out of five means move on to the next topic.
Question 2Aim for about 60 seconds
Which list is in order from smallest to largest?
710 0.65 68%
Show the worked answer
Answer: C, 0.65, 68%, 710
How to work it out
- Change them all to the same form, such as decimals: 710 = 0.7, 0.65 = 0.65, 68% = 0.68.
- Smallest to largest: 0.65, 68%, 710.
Why the other options are wrong
- A (68%, 710, 0.65): Compare them as decimals (710 = 0.7, 0.65 = 0.65, 68% = 0.68): this list is not smallest to largest.
- B (710, 0.65, 68%): Compare them as decimals (710 = 0.7, 0.65 = 0.65, 68% = 0.68): this list is not smallest to largest.
- D (710, 68%, 0.65): Compare them as decimals (710 = 0.7, 0.65 = 0.65, 68% = 0.68): this list is not smallest to largest.
- E (0.65, 710, 68%): Compare them as decimals (710 = 0.7, 0.65 = 0.65, 68% = 0.68): this list is not smallest to largest.
Question 3Aim for about 60 seconds
What is 10% of 580?
Show the worked answer
Answer: D, 58
How to work it out
- Find 10% first: 580 ÷ 10 = 58.
- Build 10% from that: 58.
Question 4Aim for about 60 seconds
What is 10% of 890,000?
Show the worked answer
Answer: B, 89,000
How to work it out
10% of 890,000 is 89,000.
Why the other options are wrong
- A (178,000): This doubles the answer.
- C (89,010): A near miss: check the working again.
- D (801,000): This is what is left after taking 10% away.
- E (890,000): This is ten times too big: the answer has one digit too many.
Question 5Aim for about 60 seconds
Which list is in order from smallest to largest?
25 0.45 35%
Show the worked answer
Answer: E, 35%, 25, 0.45
How to work it out
- Change them all to the same form, such as decimals: 25 = 0.4, 0.45 = 0.45, 35% = 0.35.
- Smallest to largest: 35%, 25, 0.45.
Why the other options are wrong
- A (25, 0.45, 35%): Compare them as decimals (25 = 0.4, 0.45 = 0.45, 35% = 0.35): this list is not smallest to largest.
- B (0.45, 35%, 25): Compare them as decimals (25 = 0.4, 0.45 = 0.45, 35% = 0.35): this list is not smallest to largest.
- C (25, 35%, 0.45): Compare them as decimals (25 = 0.4, 0.45 = 0.45, 35% = 0.35): this list is not smallest to largest.
- D (0.45, 25, 35%): Compare them as decimals (25 = 0.4, 0.45 = 0.45, 35% = 0.35): this list is not smallest to largest.
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