DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 10 · Financial Maths
Hire Purchase, Exchange Rates & Population Growth (Grade 10)
MEMORANDUM
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    A fridge costs R12 000. A 10% deposit is paid. Calculate the deposit and the balance owing.
    (2)
    Deposit = R1 200; balance = R10 800✓✓ (2)
  2. 2
    The R10 800 balance is repaid over 3 years at 15% p.a. simple interest. Calculate the interest.
    (2)
    10 800 × 0,15 × 3 = R4 860✓✓ (2)
  3. 3
    Calculate the monthly instalment for that hire-purchase agreement.
    (2)
    15 66036 = R435,00✓✓ (2)
  4. 4
    How much more than the cash price does the buyer pay in total?
    (2)
    R1 200 + R15 660 = R16 860, which is R4 860 more✓✓ (2)
  5. 5
    A camera costs $240. The rate is R18,50 to the dollar. Calculate the cost in rand.
    (2)
    240 × 18,50 = R4 440✓✓ (2)
  6. 6
    A tourist changes R9 250 into dollars at R18,50 to the dollar. How many dollars does she receive?
    (2)
    9 25018,50 = $500✓✓ (2)
  7. 7
    A town of 1 200 000 grows at 1,8% p.a. Estimate the population after 5 years.
    (2)
    1 200 000(1,018)⁵ ≈ 1 311 959✓✓ (2)
  8. 8
    Explain the effect on the petrol price when the rand weakens against the dollar.
    (2)
    Oil is bought in dollars, so a weaker rand means more rand are needed per dollar and the petrol price rises.✓✓ (2)
TOTAL: 16 marks
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