Percentages (Difficult)
If 3 out of 10 people live in a terraced house, what percentage does this represent?

Percentages (Difficult)

Percentages are proportions of numbers. In this second quiz, you'll get some practice in expressing one number as a percentage of another number. Suppose you were asked: 'What percentage of 50 is 20?' How would you do it? This is how you would do it: 2050 × 100% = (20 × 100) ÷ 50 = 40%.

Percentages are an important part of Maths and they crop up in everyday life all the time. You may have heard a relative talk about a 5 or 10% deposit on a house, or perhaps interest on a bank loan. It's a good idea to really learn about percentages now, because as you progress through school you'll be asked to do harder and harder calculations involving percentages. They are all around us - and they won't go away!

See if you can get 100% in this 11-plus Maths quiz! As always, take your time, read the question and four answers carefully before making your choice.

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  1. If, in a survey on spending habits, 200 out of 10,000 people said they spent more than £300 a week on entertainment, what percentage does this represent?
    20010,000 × 100% = (200 × 100) ÷ 10,000 = 2%
  2. If 3 out of 10 people live in a terraced house, what percentage does this represent?
    310 × 100% = (3 × 100) ÷ 10 = 30%
  3. What percentage of 90 is 18?
    1890 × 100% = (18 × 100) ÷ 90 = 20%
  4. If, in a certain survey, 25 out of 125 people like Crunchy Crunch chocolate, what percentage of those surveyed does this represent?
    25125 × 100% = (25 × 100) ÷ 125 = 20%
  5. If 12 pupils in a class of 30 don't have school lunch, what percentage of the class does this represent?
    1230 × 100% = (12 × 100) ÷ 30 = 40%
  6. What percentage of 300 is 900?
    90030 × 100% = (900 × 100) ÷ 30 = 300%. DON'T think that percentages can't be more than 100%
  7. What percentage of 500 is 60?
    60500 × 100% = (60 × 100) ÷ 500 = 12%
  8. If 240 people out of a workforce of 1,500 were fired, what percentage of the workforce does this represent?
    2401,500 × 100% = (240 × 100) ÷ 1,500 = 16%
  9. What percentage of 48 is 15?
    1548 × 100% = (15 × 100) ÷ 48 = 31.25%
  10. What percentage of 100 is 20?
    20100 × 100% = (20 × 100) ÷ 100 = 20%

Author: Frank Evans

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