Year 10 - Compound interest - Free practice

Year 10 Compound Interest Worksheets

Growth, decay, compound interest in applied contexts.

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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.

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About this worksheet

Why we built it

Year 10 financial maths jumps from simple to compound interest, and adds general growth/decay scenarios. These worksheets give your student practice across each variation - calculating final value, finding the principal, finding time.

What's covered

Sub-skills your student will practise

  • Calculating compound interest using A = P(1 + r)^n
  • Finding the principal given the final amount
  • Comparing simple vs compound interest
  • Population growth and depreciation problems
  • Different compounding frequencies (annual, quarterly, monthly)

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From our families

Parents on the practice questions.

Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.

Rebecca M.

Year 8 · Maths

My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.

Priya S.

Year 9 · Maths

I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.

Ella, student

Year 10 · Maths

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Frequently asked

Questions parents ask about compound interest

What's the compound interest formula?

A = P(1 + r)^n, where A is the final amount, P is the principal, r is the rate per period (as a decimal), and n is the number of periods. For monthly compounding over a year at 12%, r = 0.01 and n = 12.

How does compound interest differ from simple interest?

Simple interest pays the same dollar amount each year (based on the original principal). Compound interest pays interest on the principal plus accumulated interest, so the dollar amounts grow each year.

What's compounding frequency?

How often interest is added to the balance. Annual (once a year), semi-annual (twice), quarterly (four times), monthly (twelve), daily (365). More frequent compounding gives a higher final amount for the same nominal rate.

Is the formula the same for depreciation?

Almost - depreciation uses A = P(1 - r)^n, with a minus instead of a plus. A car worth $30,000 depreciating 15% per year for 4 years: A = 30000 x (0.85)^4 = $15,660.

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