NumberStudy Notes

Worked Example 2: Expressing as Percentage

Part of Percentages — GCSE Mathematics

This study notes covers Worked Example 2: Expressing as Percentage within Percentages for GCSE Mathematics. Revise Percentages in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 9 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 9 of 15

Practice

14 questions

Recall

22 flashcards

Worked Example 2: Expressing as Percentage

In a test, Sarah scored 42 out of 60. What percentage is this?

Solution

Fraction: 42/60

Simplify: 42/60 = 7/10

Decimal: 7/10 = 0.7

Percentage: 0.7 × 100 = 70%

Keep building this topic

Read this section alongside the surrounding pages in Percentages. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 1: Percentage of an Amount Worked Example 3: Percentage Increase Parts per Hundred What Are Percentages?

Practice Questions for Percentages

Which calculation correctly finds 35% of £240 using the decimal method?

A. 240 ÷ 35
B. 240 × 3.5
C. 240 × 0.35
D. 35 ÷ 240

1 markfoundation

Which formula correctly expresses one quantity as a percentage of another?

A. (part ÷ whole) × 100
B. (whole ÷ part) × 100
C. (part × whole) ÷ 100
D. (whole − part) × 100

1 markfoundation

Quick Recall Flashcards

What is a percentage?

Parts per hundred Percent = per cent = per 100 % symbol means 'out of 100' 50% = 50/100 = half

Percentage to decimal

Divide by 100 75% = 0.75 8% = 0.08 150% = 1.5 Move decimal point 2 places left

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Worked Example 1: Percentage of an Amount

Worked Example 3: Percentage Increase