Mathematics Chapter Quiz
Ch.3 Percentages(II)
Name: ________________________ Class: ________( ) Date: ________
1. Complete the following table. (3 marks)
Original Value New Value Change in Value Percentage Change
(a) 100 120
(b) 150 –50
(c) +500 +100%
2. Complete the following table. (4 marks)
Principal Interest rate (p.a.) Time Simple interest Amount
(a) $1200 3% 3 years
(b) 5% 2 years $800
(c) $3500 6% $4550
(d) $5500 4 years $1540
3. The cost of a chair is $360. If the chair is sold at a discount of 20% on its marked price, the
percentage profit is 30%. Find the marked price of the chair. (3 marks)
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4. Howard deposits $18000 in a bank at an interest rate of 8% p.a. for 3 years. Find the amount
received if the interest is compounded monthly.
(Give your answers correct to the nearest dollar.) (3 marks)
5. The depreciation rate of a car is 18% per year. If its present value is $253000, find its value
(a) 3 years from now,
(b) 2 years ago.
(Give the answers correct 3 significant figures.)
(4 marks)
6. Maggie deposits a sum of money in a bank at an interest rate of 7% p.a. compounded half-yearly.
If the interest she received after 3 years is $1834, find the principal correct to the nearest dollar.
(4 marks)
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7. (a) The rateable value of a flat is $250 000 this year. If the rates percentage charge is 5%, find
the quarterly rates payable. (2 marks)
(b) The salaries tax rate of a city is summarized by the following table.
Net chargeable income Rate
On the first $30000 5%
On the next $30000 10%
Remaining 15%
(i) Find the salaries tax payable when the net chargeable income for a person is $60000.
(ii) If Mr. Chan needs to pay a salaries tax of $11700, find net chargeable income.
(4 marks)
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For Question 8 – 10, write down the choice in the boxes provided; otherwise no marks will be
given, each question carries 1 mark.
8. If A is 30% greater than B and B is 30% less than C, then
A. A is 9% less than C.
B. C is 9% less than A.
C. A is 9% greater than C.
D. C is 9% greater than A.
9. The simple interest on a sum of money at r % p.a. for 4 years is equal to the compound interest
on the same amount at 4% p.a. for 4 years compounded half-yearly. Find the value of r correct
to 2 significant figures.
A. 4.1
B. 4.2
C. 4.3
D. 4.4
10. If the perimeter of a square is decreased by 30%, then the area of the square is decreased by
A. 69%.
B. 51%.
C. 49%.
D. 30%.
8 9 10
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