11-plus Maths | Percentages - proportions of numbers

Maths Quiz - Percentages (Difficult) (Questions)

Percentages can be tricky but powerful. This 11 Plus Maths quiz challenges you to solve percentage problems linked to finance, data, and everyday decision making.

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Fascinating Fact:

When interest rates rise by one percent, it sounds tiny, but on a house loan it can mean thousands, proof that small percentages can pack a punch.

In 11 Plus Maths, higher-level percentage questions involve real-life scenarios such as interest, profit, and multi-step calculations. These problems test reasoning, mental arithmetic, and understanding of how small changes can have big effects.

Key Terms

Compound Interest: Interest calculated on both the original amount and any previously added interest.
Percentage Point: The difference between two percentages, often used to describe financial or statistical changes.
Proportional Change: A comparison showing how one value increases or decreases relative to another.

Parents can learn more in our guide on what subjects are tested in the 11 Plus.

Frequently Asked Questions (Click to see answers)

What is compound interest in simple terms?

Compound interest means earning or paying interest on both the original amount and any interest that has already been added. It grows faster than simple interest.

How do percentages apply to real life?

Percentages are used to calculate discounts, tax, tips, profits, and data comparisons, making them useful in business, banking, and everyday spending.

What is the difference between percentage and percentage points?

A percentage measures a proportion, while a percentage point shows the difference between two percentages, like 5% to 7% being a rise of two points.

Try These Related Quizzes

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%