Ordinary level 2023 south west regional mock mathematics 2

Ordinary level 2023 south west regional mock mathematics 2

Ordinary level 2023 south west regional mock mathematics 2

i. Joan goes lo a shop to buy a gas cooker which cost 140.000FCFA.
She pays 60% cash of the cost of the gas cooker and then pays the
7.000FCFA monthly. Calculate the:
a) Amount that she pays in cash.
b) Total amount that she pays for the gas cooker.
c) Determine how much more that she pays for the gas cooker.
d) She uses the gas cooker for 6 months and sells it for 160.000FCFA, calculate her gain percentage to one
decimal place.
tialance within 10 months ot
H. Given that Q 3) (;3 fl = ( * 18°2Y* Find the Values of x, y and z
s
i. Given the functions Rx)= x2- 1, g(x) = and h(x) = kx + 1
Evaluate

c) Determine the values of k and t given that hof(x) = 2x:— 5 r
it. The playground of a certain school is xm wide and its length is 5m longer than its width.
Write expressions in terms of x for the !
a) Length
b) Perimeter
c) Area
d) If the area of the playground is 500m2. Calculate the value of x. [
3. i.
Iff = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. 13, 14, 15}
A = ( Prime numbers}
B = (Odd numbers}
C
— { Multiples of 3}
a) list the elements of the sets A, B and C
b) Draw a Venn diagram to illustrate the relation between the sets.
ii. Using a pencil, ruler and compass only, showing all constructions,
a) Draw a line AB of length 5cm
b) With AB as one side of the triangle ABC, construct the sides AC and BC having lengths 4cm and 3cm
respectively
c) Bisect angles C/iB and ABC to meet at point O j
d) Using O as the center, draw a circle to touch the lines AC, BC and AB as tangents.
e) Using a ruler, measure and write the diameter of the circle. 1
II
4. i. Let AM =- x2- 3x- 2
a) Copy and complete the following table
I!
x -4 -3 -2 -1 0 1
flx) -6 -2
b) Draw the graph Rx) for-4 < x < 1
c) On the same graph, draw the straight-line y = x + I
From your graph
d) State the coordinates ofthc point of intersection of the curve of Rx) arid the line y- x + 1
e) Solve the equation Rx) = 0