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Mathematics·Ratio & Proportion·procedural

Percentages (age 12+)

Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest

Suggested ages 12–14

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Evidence of understanding

  • Calculate a 15% increase on £240 using a decimal multiplier (× 1.15)
  • Find the original price before a 20% discount resulted in a sale price of £64
  • Calculate simple interest on £500 at 3% per annum for 4 years

Assessment prompt

If a bike originally costs £250 and its price goes up by 8%, can Percentages (age 12+) work out the new price — and if a savings account earns 3% simple interest per year, how much interest would £500 earn in 4 years?

Standards alignment

7.RP.3US · ccss-math

Use proportional relationships to solve multistep ratio and percent problems

Common Core State Standards for Mathematics · 7

KS3.Maths.Ratio.8GB · uk-nc-2013

Percentage Change Problems

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3