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# Percentages (Medium)

Don't forget, per cent means per hundred, e.g. 10% = 10100. Suppose you were asked to find 10% of 50, how would you do it? This is how you would do it: 10100 × 50 = (10 × 50) ÷ 100 = 5. It's as simple as that!

There are various ways to write numbers such as decimals, fractions or percentages. If I picked a bunch of flowers from the garden with 9 purple flowers and 3 yellow, what percentage of yellow flowers do I have? 3 out of 12 is one-quarter which can be written as either 0.25, 14 or 25%.

This is the first of two 11-plus Maths quizzes on percentages. In this quiz you'll get some practice in working out percentages with various numbers. Make sure you play this one first before moving onto the difficult quiz.

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1. If John loses 25% of £900, how much does he lose?
25% of £90 = 25100 × 900 = (25 × 900) ÷ 100 = £225
2. Henry is paid £42,400 per annum (per year). If he gets a 3.4% pay increase, how much will he earn now per annum?
3.4% of £42,400 = 3.4100 × 42,400 = (3.4 × 42,400) ÷ 100 = £1,441.60 BUT this is only the interest. He will now earn £42,400 + £1,441.60 = £43,841.60
3. What is 60% of 250?
60% of 250 = 60100 × 250 = (60 × 250) ÷ 100 = 150. DON'T forget: when you divide by 100, move the decimal point two places to the left
4. Peter will earn 3.2% interest on £12,500. How much money will he earn in interest?
3.2% of £12,500 = 3.2100 × 12,500 = (3.2 × 12,500) ÷ 100 = £400
5. What is 20% of 20% of 500?
20% of 500 = 20100 × 500 = (20 × 500) ÷ 100 = 100 AND 20% of 100 = 20100 × 100 = (20 × 100) ÷ 100 = 20. NOTE: 20% of 20% is NOT equal to 40%. The word 'OF' means multiply!
6. What is 62.5% of 12?
62.5% of 12 = 62.5100 × 12 = (62.5 × 12) ÷ 100 = 7.5
7. What is 25% of 75?
25% of 75 = 25100 × 75 = (25 × 75) ÷ 100 = 18.75. DON'T forget: when you divide by 100, move the decimal point two places to the left
8. What is 5.5% of 100?
5.5% of 100 = 5.5100 × 100 = (5.5 × 100) ÷ 100 = 5.5. You shouldn't have had to calculate anything in this question because X% of 100 = X for all values of X
9. If 70% of the population of a country of 60,000,000 have mobile phones, what percentage don't have mobile phones?
100% - 70% = 30%. The sum of the various percentages MUST add to 100%
10. What is 40% of 18?
40% of 18 = 40100 × 18 = (40 × 18) ÷ 100 = 7.2

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