Welcome to the second of our difficult Eleven Plus maths quizzes on percentages. In the first, you were asked to express one number as a percentage (or proportion) of another – I hope you didn’t find it too hard! In this quiz, we’ll offer you more chance to practice.
There is a simple way to do it. Here’s an example:
What percentage of 20 is 4?
First, arrange the problem like this :
(4 ÷ 20) × 100%
Next, you can make it easier by turning it around, like this:
(4 × 100) ÷ 20
Work out the part in brackets:
400 ÷ 20
This gives you the answer = 20%
Just follow this formula and percentages should be simple. So, now you are ready, let’s begin. Good luck!
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
(15 ÷ 300) × 100% = (15 × 100) ÷ 300 = 5%
|
(7 ÷ 28) x 100% = (7 × 100) ÷ 28 = 25%
|
||||||||||||||||||||||||
(12 ÷ 56) x 100% = (12 × 100) ÷ 56 = 21.43%
|
(2 ÷ 12) x 100% = (2 × 100) ÷ 12 = 16.66%
|
||||||||||||||||||||||||
(72 ÷ 16) x 100% = (72 × 100) ÷ 16 = 450%.
In ‘top-heavy’ fractions (e.g. 72?16), the percentage will be more than 100% |
(187.5 ÷ 250) x 100% = (187.5 × 100) ÷ 250 = 75%.
Decimal numbers are surprisingly easy to work with – multiplying them by 100 just means moving the digits two places to the left |
||||||||||||||||||||||||
(54 ÷ 270) x 100% = (54 × 100) ÷ 270 = 20%
|
(1,000 ÷ 12,500) x 100% = (1,000 × 100) ÷ 12,500 = 8%.
This tells you the proportion of away fans. To find the proportion of home fans, simply subtract 8 from 100: 100 – 8 = 92% |
||||||||||||||||||||||||
To convert parts of 1,000 to percentages, simply divide by 10
|
(68 ÷ 748) x 100% = (68 × 100) ÷ 748 = 9.09%
|