Maths Library

Percentage of an Amount: Year 9 maths

This topic covers finding percentages of quantities, both with and without a calculator. Students practise using mental benchmark strategies and decimal multiplier methods.

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What this covers

Percentage of an Amount is taught in Year 9 (age 14 to 15) as a main teaching focus. It sits in the Percentages strand.

Worked example

Find 35% of £240

  1. Find 10%: 24010 = 24
  2. Find 30%: 24 x 3 = 72
  3. Find 5%: 242 = 12
  4. Add together: 72 + 12 = 84

Answer: 84

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Multiples of 10% and 50% of round integer quantities
  2. Multiples of 5% (e.g. 15%, 35%, 75%) of integer amounts
  3. Any integer percentage (e.g. 23%, 7%) using mental or multiplier methods
  4. Percentages with fractional or decimal values, e.g. 12.5% or 0.5%
  5. Multistep word problems involving money or metric measures

Common mistakes

  • Confusing finding 1% (divide by 100) with finding 10% (divide by 10)
  • Dividing the amount by the percentage itself rather than 100

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M9N04 Solve financial mathematics problems involving simple interest and percentage change.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Percentage of an Amount

Year 9 maths

Qs
6
Marks
18
NameDateScore / 18
1.
Find 12% of 60.
[3]
2.
Find 35% of 160.
[3]
3.
Find 17.5% of 440.
[3]
4.
Find 8% of 180.
[3]
5.
Find 12% of 360.
[3]
6.
Find 8% of 200.
[3]

Answer key

  1. 7.212% of 60 = 12 ÷ 100 × 60; = 7.2
  2. 5635% of 160 = 35 ÷ 100 × 160; = 56
  3. 7717.5% of 440 = 17.5 ÷ 100 × 440; = 77
  4. 14.48% of 180 = 8 ÷ 100 × 180; = 14.4
  5. 43.212% of 360 = 12 ÷ 100 × 360; = 43.2
  6. 168% of 200 = 8 ÷ 100 × 200; = 16