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Percentages can rise or fall, and understanding them helps you spot changes in prices, results, or profits. This 11 Plus Maths quiz will test your number sense.
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Fascinating Fact:
A fall of one hundred percent means something has disappeared completely, a very bad day for profits and ice cream cones.
In 11 Plus Maths, percentages help pupils calculate increases and decreases in quantities such as money, scores, and measurements. Learning how to use percentages accurately prepares students for real-world applications like finance and science.
Key Terms
Percentage Change: How much a value increases or decreases, shown as a percentage.
Profit and Loss: A percentage showing how much money is gained or lost compared to the original amount.
Base Value: The original number used to calculate a percentage increase or decrease.
Michael’s house was worth £205,000 when he bought it last year. Since then its value has increased by 3%. How much is Michael’s house worth now?
£208,000
£209,500
£210,250
£211,150
3% of £205,000 = (3 ÷ 100) × 205,000 = (3 × 205,000) ÷ 100 = £6,150
This is the amount that Michael’s house value has increased by. So, Michael’s house is now worth £205,000 + £6,150
£205,000 + £6,150 = £211,150
9 .
In a general election, 31 million people voted. If 40% voted for the Blue Party, how many people did not vote for the Blue Party?
12.4 million
60%
18.6 million
40%
40% of 31 million = (40 ÷ 100) × 31 million = (40 × 31 million) ÷ 100 = 12.4 million.
That’s how many people voted for the Blue Party. To work out how many did not vote for the Blue party, you need to subtract 12.4 million from 31 million:
31 - 12.4 = 18.6 so, 18.6 million people did not vote for the Blue Party - that's 60% of the voters, but you were asked for the number of people, not the percentage. Beware of questions like this!
10 .
What is 32.5% of 120?
35
37
39
41
32.5% of 120 = (32.5 ÷ 100) × 120 = (32.5 × 120) ÷ 100 = 39
DON'T forget: when you divide by 100, move the digits two places to the right
Author:
Frank Evans (Specialist 11 Plus Teacher and Tutor)