Sample Mid-year Examination Paper 2

/501. Simplify .

[4]

2. Expand the following.

(a) (7x 3)2

[2]

(b) (ab + 8)2

[2]

3. Simplify the following.

(a)

[2]

(b)

[2]

4. In the following table, F is inversely proportional to c.

c524y

F4x56

(a) Find an equation connecting F and c.

[2]

(b) Find the value of x.

[1]

(c) Find the value of y.

[1]

5. (a)Steven takes 24 minutes to complete a task. How long will he take to complete 8 such

tasks? Leave your answer in hours and minutes.

[2](b)24 men take 3 days to cover a pavement with tiles. How many days will 30 men take to complete the same job?

[2]

6. Answer the whole of this question on a sheet of graph paper.(a) Copy and complete the following table of values for the equation y = 2 x. [2]

x210123

y

(b) Using a scale of 1 cm to represent 1 unit on both axes, draw the graph of y = 2 x for 2 x 3.

[2](c) From the graph, find the value of y when x = 1.5.

[1]

7. Factorise the following.

(a) 162x2 2

[2]

(b) 49x2 + 14x 3

[2]

8. Solve the following equations.

(a) 3p + 7 = 7p 5

[1]

(b) 2(2y + 5) = 4(3 2y)

[2]

(c) 8x 2(1 3x) = 6(3 + 2x) (5x + 9)

[3]

9. Rachel spent $(4x + 20) during a particular weekend. Mindy spent $3x more than Rachel and $(x 15) less than Yvonne.

(a) Find, in terms of x, the amount Mindy spent.

[1]

(b) Find, in terms of x, the amount Yvonne spent.

[1]

(c) Find the total amount, in terms of x, the three girls spent altogether.

[1]

(d) If the three girls spent $387 altogether, find the value of x.

[2]

10. The scale of a map is 1 : 200 000. Find

(a) the distance, in centimetres, represented on the map, if the actual distance between two petrol kiosks is 40 km,

[2](b) the actual area of a reservoir, in square kilometres, if the area represented on the map is 12 cm2.

[2]

11. Answer the whole of this question on a sheet of graph paper.The monthly salary, $S, of a salesman of an electronics shop is calculated based on his basic salary and the commission he earns. It is given by the equation

S = 850 + 65xwhere x represents the number of computers sold by the salesman in a month.

(a) Copy and complete the following table shown below.

[1]

x0102030405060

S

(b) Using a scale of 2 cm to represent 10 computers on the x-axis and 1 cm to represent $500 on the y-axis, draw the graph of S = 850 + 65x for 0 x 60.

[2](c) From the graph, find

(i) his basic salary,

[1]

(ii) his salary for the month if he sold 45 computers,

[1]

(iii) the number of computers sold by the salesman if his commission was $1550.

[1]

End of Sample Mid-year Examination Paper 2

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