PARK ROYAL COLLEGE
AUTUMN EXAMINATION
MATHEMAICS
Year 10
NAME
TIME: 1 hour 30 minutes
READ THESE INSTRUCTIONS FIRST
Answer all questions
You should show all your working on the answer sheet.
The number of marks is given in brackets [] at the end
of each question or part question.
Extra marks may be awarded for clear presentation of answers.
Write in dark blue or black pen. Diagrams should be drawn with pencil.
The total number of marks for this paper is graded 100%
For Teacher’s
Use
Question Mark
FEBRUARY, 2025
1. Work out 85cents as a percentage of $2.03 .
[1]
2. Annie and Dermot share $600 in the ratio 11:9.
a. Show that Annie receives $330.
b. Find the amount that Dermot receives.
[2]
3. Here is a list of ingredients to make 20 biscuits.
260g of butter
5009 of sugar
650g of flour
4259 of rice
(i)
Find the mass of rice as a percentage of the mass of sugar.
[1]
(ii)
Find the mass of butter needed to make 35 of these biscuits.
[2]
(b) A company makes these biscuits at a cost of $1.35 per packet.
These biscuits are sold for $1.89 per packet.
Calculate the percentage profit the company makes on each packet.
[3]
4. Calculate the area of this trapezium.
[2]
5. Copy and complete the table
[3]
6. From the top of a building, 300 metres high, the angle of depression of a car, C, is 520.
Calculate the horizontal distance from the car to the base of the building.
300m
520
[3]
7. Ralf and Susie share $57 in the ratio 2 : l .
a. Calculate the amount Ralf receives.
[1]
b. Ralf gives $2 to Susie.
Calculate the new ratio Ralf's money : Susie's money.
Give your answer in its simplest form.
[2]
8. (a) (i) Each year the value of a car decreases by 15% of its value at the beginning of that year.
Alberto buys a car for $18 000.
Calculate the value of Alberto's car after 3 years.
[2]
(ii) Belinda bought a car one year ago.
The value of this car has decreased by 15% to $14025.
Calculate how much Belinda paid for the car.
[3]
(b) Chris invested some money at a rate of 5% per year compound interest. After 2 years the value of this
investment is $286.65 .
Calculate how much Chris invested.
[2]
(c) Dani invested $200 and after 2 years the value of this investment is $224.72 .
Calculate the simple interest rate per year on the investment.
[2]
9. Change 2.7 Km into meters
Find the number of hours in 5 days
10.
11.
[1]
[1]
12.
13. Calculate the value of x in the following triangles
a.
b.
14.
15.
(a)
16.
0
