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Compound Decay: Depreciation & Reduction (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet on compound decay: depreciation of a car, laptop or phone's value over several years.

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Grade 10 · 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 gaming console is bought for £200. It depreciates (loses value) by 20% per year. Find its value after 2 years, to the nearest penny.
  2. 2.
    A smartphone is bought for £400. It depreciates (loses value) by 8% per year. Find its value after 2 years, to the nearest penny.
  3. 3.
    A gaming console is bought for £250. It depreciates (loses value) by 5% per year. Find its value after 3 years, to the nearest penny.
  4. 4.
    A smartphone is bought for £700. It depreciates (loses value) by 25% per year. Find its value after 2 years, to the nearest penny.
  5. 5.
    A gaming console is bought for £350. It depreciates (loses value) by 12% per year. Find its value after 3 years, to the nearest penny.
  6. 6.
    A car is bought for £15000. It depreciates (loses value) by 18% per year. Find its value after 4 years, to the nearest penny.
  7. 7.
    A gaming console is bought for £350 and depreciates by 12% per year. How much VALUE (not the remaining value) has it lost after 3 years, to the nearest penny?
  8. 8.
    A car is bought for £10000 and depreciates by 25% per year. How much VALUE (not the remaining value) has it lost after 2 years, to the nearest penny?
  9. 9.
    A smartphone is bought for £600 and depreciates by 10% per year. How much VALUE (not the remaining value) has it lost after 2 years, to the nearest penny?
  10. 10.
    A smartphone is bought for £800 and depreciates by 12% 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 smartphone originally worth £500 after 3 years of 5% 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 smartphone originally worth £800 after 3 years of 12% 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 £500 after 3 years of 12% 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 car originally worth £18000 after 2 years of 5% annual depreciation, to the nearest penny.
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