Free summary · Grade 7 Maths

Percentages

Percent means out of 100: percentage of an amount and marks as a percentage. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Percent means out of 100

Percentage	Fraction	Decimal
50%	½	0,5
25%	¼	0,25
75%	¾	0,75
10%	¹⁄₁₀	0,1
100%	1 whole	1

A percentage of an amount: 20% of 150 = ²⁰⁄₁₀₀ × 150 = 30.
Shortcut: 10% = divide by 10; 5% = half of that.
A mark as a percentage: 18 out of 20 = ¹⁸⁄₂₀ × 100 = 90%.

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Increase and decrease

Price R200 increases by 15%: 15% of 200 = 30 → R230. A 25% discount on R80: 25% of 80 = 20 → R60.

Rule

Percentage change = change ÷ original amount × 100. R40 → R50: change R10; 10 ÷ 40 × 100 = 25% increase. R80 → R60: change R20; 20 ÷ 80 × 100 = 25% decrease.

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Remember this and test yourself

Remember this: your summary

% means out of 100.
50% = ½; 25% = ¼; 10% = ¹⁄₁₀.
20% of 150 = 30.
Mark → %: divide, then multiply by 100.

Write these points in your book. Read them again the night before the test.

Memory trick

Per-CENT = per hundred, like 100 cents in a rand.

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Important words

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Test yourself · Part 2

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