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Compound Decay: Depreciation & Reduction (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet on compound decay: depreciation of a car, laptop or phone's value over several years.

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Grade 9 · Math worksheet
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Math

Compound Decay: Depreciation & Reduction

Find the value remaining, or the value lost, after repeated annual depreciation. Multiply by the decay multiplier once for every year, keep the full calculator value, and round only the requested final answer to the nearest penny.

  1. 1.
    A car is bought for £12000. It depreciates (loses value) by 5% per year. Find its value after 3 years, to the nearest penny.
  2. 2.
    A laptop is bought for £400. It depreciates (loses value) by 10% per year. Find its value after 3 years, to the nearest penny.
  3. 3.
    A laptop is bought for £400. It depreciates (loses value) by 8% per year. Find its value after 2 years, to the nearest penny.
  4. 4.
    A car is bought for £8000. It depreciates (loses value) by 25% per year. Find its value after 3 years, to the nearest penny.
  5. 5.
    A laptop is bought for £1200. It depreciates (loses value) by 18% per year. Find its value after 3 years, to the nearest penny.
  6. 6.
    A smartphone is bought for £700. It depreciates (loses value) by 12% per year. Find its value after 4 years, to the nearest penny.
  7. 7.
    A laptop is bought for £600 and depreciates by 15% per year. How much VALUE (not the remaining value) has it lost after 4 years, to the nearest penny?
  8. 8.
    A gaming console is bought for £250 and depreciates by 5% per year. How much VALUE (not the remaining value) has it lost after 2 years, to the nearest penny?
  9. 9.
    A gaming console is bought for £250 and depreciates by 18% per year. How much VALUE (not the remaining value) has it lost after 3 years, to the nearest penny?
  10. 10.
    A smartphone is bought for £700 and depreciates by 10% per year. How much VALUE (not the remaining value) has it lost after 2 years, to the nearest penny?
  11. 11.
    Using the formula Total = P(1r/100)n(1 - r/100)^{n}, find the value of a laptop originally worth £600 after 2 years of 25% annual depreciation, to the nearest penny.
  12. 12.
    Using the formula Total = P(1r/100)n(1 - r/100)^{n}, find the value of a car originally worth £10000 after 2 years of 18% annual depreciation, to the nearest penny.
  13. 13.
    Using the formula Total = P(1r/100)n(1 - r/100)^{n}, find the value of a laptop originally worth £1000 after 2 years of 15% annual depreciation, to the nearest penny.
  14. 14.
    Using the formula Total = P(1r/100)n(1 - r/100)^{n}, find the value of a laptop originally worth £600 after 2 years of 10% annual depreciation, to the nearest penny.
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