11-plus Maths | Percentages - proportions of numbers

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Maths Quiz - Percentages (Difficult) (Questions)

Percentages are proportions of numbers. In this second section of quizzes on percentages, 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: ²⁰⁄₅₀ × 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.

What percentage of 100 is 20?

[ ]	0.2%
[ ]	20%
[ ]	200%
[ ]	10%

What percentage of 300 is 900?

[ ]	30%
[ ]	270%
[ ]	300%
[ ]	27%

What percentage of 48 is 15?

[ ]	72%
[ ]	7.2%
[ ]	3.125%
[ ]	31.25%

What percentage of 500 is 60?

[ ]	3%
[ ]	30%
[ ]	12%
[ ]	1.2%

What percentage of 90 is 18?

[ ]	1.62%
[ ]	20%
[ ]	2%
[ ]	16.2%

If 12 pupils in a class of 30 don't have school lunch, what percentage of the class does this represent?

[ ]	40%
[ ]	36%
[ ]	3.6%
[ ]	4%

If 240 people out of a workforce of 1,500 were fired, what percentage of the workforce does this represent?

[ ]	16%
[ ]	36%
[ ]	1.6%
[ ]	3.6%

If, in a certain survey, 25 out of 125 people like Crunchy Crunch chocolate, what percentage of those surveyed does this represent?

[ ]	3.125%
[ ]	20%
[ ]	2%
[ ]	31.25%

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

[ ]	0.3%
[ ]	3%
[ ]	300%
[ ]	30%

10.

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?

[ ]	20%
[ ]	2%
[ ]	200%
[ ]	0.2%

Maths Quiz - Percentages (Difficult) (Answers)

What percentage of 100 is 20?

[ ]	0.2%
[x]	20%
[ ]	200%
[ ]	10%

²⁰?₁₀₀ × 100% = (20 × 100) ÷ 100 = 20%

What percentage of 300 is 900?

[ ]	30%
[ ]	270%
[x]	300%
[ ]	27%

⁹⁰⁰?₃₀ × 100% = (900 × 100) ÷ 30 = 300%. DON'T think that percentages can't be more than 100%

What percentage of 48 is 15?

[ ]	72%
[ ]	7.2%
[ ]	3.125%
[x]	31.25%

¹⁵?₄₈ × 100% = (15 × 100) ÷ 48 = 31.25%

What percentage of 500 is 60?

[ ]	3%
[ ]	30%
[x]	12%
[ ]	1.2%

⁶⁰?₅₀₀ × 100% = (60 × 100) ÷ 500 = 12%

What percentage of 90 is 18?

[ ]	1.62%
[x]	20%
[ ]	2%
[ ]	16.2%

¹⁸?₉₀ × 100% = (18 × 100) ÷ 90 = 20%

If 12 pupils in a class of 30 don't have school lunch, what percentage of the class does this represent?

[x]	40%
[ ]	36%
[ ]	3.6%
[ ]	4%

¹²?₃₀ × 100% = (12 × 100) ÷ 30 = 40%

If 240 people out of a workforce of 1,500 were fired, what percentage of the workforce does this represent?

[x]	16%
[ ]	36%
[ ]	1.6%
[ ]	3.6%

²⁴⁰?_1,500 × 100% = (240 × 100) ÷ 1,500 = 16%

If, in a certain survey, 25 out of 125 people like Crunchy Crunch chocolate, what percentage of those surveyed does this represent?

[ ]	3.125%
[x]	20%
[ ]	2%
[ ]	31.25%

²⁵?₁₂₅ × 100% = (25 × 100) ÷ 125 = 20%

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

[ ]	0.3%
[ ]	3%
[ ]	300%
[x]	30%

³?₁₀ × 100% = (3 × 100) ÷ 10 = 30%

10.

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?

[ ]	20%
[x]	2%
[ ]	200%
[ ]	0.2%

²⁰⁰?_10,000 × 100% = (200 × 100) ÷ 10,000 = 2%