Maths Library

Percent of a Number: Grade 7 math

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

Percent of a Number is taught in Grade 7 (age 12 to 13) 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 Common Core State Standards. Check wording and codes against the official document.

  • 7.RP.A.3 Use proportional relationships to solve multi-step ratio and percent problems including tax, markups, and percent change.

Sample sheet and answers

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

Percent of a Number

Grade 7 math

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