Name: ______________________________________
1|Page
Room: ___________________
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
Answer ALL the questions in this section.
All working must be clearly shown.
Time: 1 ½ Hours
1. (a) (i) (Using a calculator, or otherwise, determine the exact value of
(3.7)2 – (6.24 ÷ 1.3).
(2 marks)
(ii) Express as a single fraction
1
4
22 −5
(3 marks)
3
4
(b) Mrs. Jack bought 150 T-shirts for $1 920 from a factory.
(i) Calculate the cost of ONE T-shirt.
2|Page
(1 mark)
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
The T-shirts are sold at $19.99 each.
Calculate
(ii) the amount of money Mrs. Jack received after selling ALL of the T-shirts. (1 mark)
(iii) the TOTAL profit made
(1 mark)
(iv) the profit made as a percentage of the cost price, giving your answer correct to
the nearest whole number.
(2 marks)
TOTAL 11 MARKS
3|Page
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
𝑏
2. (a) Given that a * b = ab - 𝑎
Evaluate
(i)
4*8
(2 marks)
(ii)
(3 marks)
2 * (4 * 8)
(b) Find the value of EACH of the following when a = 2, b = -1, c = 3
4|Page
(i) a(b + c)
(2 marks)
(ii) 4b2 – 2ac
a+b+c
(3 marks)
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
(c) Change the following statements into algebraic expressions:
(i) Four times the sum of x and 5.
(ii) The square of the sum of a and b.
(1 mark)
(1 marks)
(d) Solve the equation
15 – 4x = 2(3x + 1)
(3 marks)
TOTAL 15 MARKS
5|Page
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
3. Find the area of the following:
(a)
Room: ___________________
(b)
(1 mark)
(c)
(2 marks)
(d)
Use П = 3.14
(3 marks)
(2 marks)
TOTAL 8 MARKS
6|Page
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
4. The line graph below shows the monthly sales, in thousands of dollars, at a car
dealership for the period July to November 2014.
(a) Complete the table below to show the sales for EACH month.
Month
July
Sales in $
Thousands
13
August
September
October
November
36
(2 marks)
(b) Which month saw the highest increase in sales?
(1 mark)
(c) Which month saw the lowest increase in sales?
(1 mark)
(d) The TOTAL sales for the period July to December was $130, 000.
(i) Calculate the sales, in dollars, for the month of December.
7|Page
O C S 4 M AT H / 2 0 2 3
Name: ______________________________________
Room: ___________________
(1 mark)
(ii) Complete the line graph to show the sales for December.
(2 marks)
TOTAL 7 MARKS
TOTAL 40 MARKS
8|Page
O C S 4 M AT H / 2 0 2 3