Grade 11 Maths · Financial Maths

Calculate depreciation

Find how much something loses value over time, using A = P(1 − in) or A = P(1 − i)ⁿ, for example a car worth R200 000 after 5 years.

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Financial maths grade 11 | DepreciationKevinmathscience

Financial maths grade 11: Exam DepreciationKevinmathscience

3. Grade 11 Mathematics - Financial Maths - DepreciationJuniorTukkie at the University of Pretoria

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Question 7.1 · May/June 2024 · Paper 1 · National (DBE) · 3 marks

7.1 Six years ago, Thabo bought a phone for R13 000. The value of the phone depreciated annually according to the reducing-balance method. The value of the phone is now R8 337,75. Calculate the annual rate of depreciation.(3)

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More past paper questions: calculate depreciation

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3. Question 8.1 · November 2025 · Paper 1 · Provincial · 3 marks
8.1 A motorbike costs R250 000 and depreciates by 13% p.a. annually, calculated on the reducing balance method.

Calculate what the motorbike will be worth after 6 years.(3)
Show the memo (3 ticks)Memo
1. ✓
  $n = 6$ $A = P (1 - i)^{n}$ with $n = 6$ , $i = 0, 13$
  1 mark · Find i and n per period
2. ✓
  Substitution $= 250000 (1 - 13%)^{6}$
  1 mark · Calculate depreciation
3. ✓
  Answer $=$ R108 406,55
  1 mark · Calculate depreciation
4. Question 8.1 · November 2024 · Paper 1 · Provincial · 3 marks
A Google Chromebook costs R14 500 and depreciates by 13% p.a. compounded annually calculated on the reducing-balance method.
8.1 Calculate what a Google Chromebook will be worth after exactly 5 years.(3)
Show the memo (3 ticks)Memo
1. ✓
  $i = 0, 13$ $i = 0, 13$
  1 mark · Find i and n per period
2. ✓
  Substitution into the correct formula $A = P (1 - i)^{n}$
  $= 14500 (1 - 0, 13)^{5}$
  1 mark · Calculate depreciation
3. ✓
  Answer $=$ R7 227,10
  1 mark · Calculate depreciation
5. Question WE7 · Siyavula Grade 11 Mathematics, 9.2 Simple and compound depreciation, Worked example 7 · 3 marks
WE7 The number of pelicans at the Berg river mouth is decreasing at a compound rate of $12%$ p.a. If there are currently $3200$ pelicans in the wetlands of the Berg river mouth, what will the population be in $5$ years?(3)
Show the memo (3 ticks)Memo
1. ✓
  Formula $P = 3200$ ; $i = 0, 12$ ; $n = 5$
  $A = P (1 - i)^{n}$
  1 mark · Calculate depreciation
2. ✓
  Substitution $A = 3200 (1 - 0, 12)^{5} = 3200 (0, 88)^{5}$
  1 mark · Calculate depreciation
3. ✓
  Answer $A = 1688, 7421 \dots$
  In $5$ years, the pelican population will be approximately $1689$ .
  1 mark · Calculate depreciation
6. Question WE4 · Siyavula Grade 11 Mathematics, 9.2 Simple and compound depreciation, Worked example 4 · 3 marks
WE4 A car is valued at R240 000. If it depreciates at $15%$ p.a. using straight-line depreciation, calculate the value of the car after $5$ years.(3)
Show the memo (3 ticks)Memo
1. ✓
  Formula $P = 240000$ ; $i = 0, 15$ ; $n = 5$
  $A = P (1 - in)$
  1 mark · Calculate depreciation
2. ✓
  Substitution $A = 240000 (1 - 0, 15 \times 5)$
  1 mark · Calculate depreciation
3. ✓
  Answer $A = 240000 (0, 25) = 60000$
  At the end of $5$ years, the car is worth R60 000.
  1 mark · Calculate depreciation

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