1.
27𝑥 7 𝑦 3
a) Simplify (3𝑥𝑦)2
…………………………………………..
(1)
b) Expand and simplify (2𝑥 + 5)(𝑥 − 3)
…………………………………………..
(2)
2. Here is a right angled triangle
Diagram NOT accurately drawn
(𝑥 + 4)
(𝑥 + 3)
(𝑥 + 2)
Calculate the value of 𝑥
𝑥 = …………………………………………..
(3)
3. Kane had 35 pens all together those are identical in size, weight, and shape except color.
5
Probability of taking out a red pen from the population is given that and the probability of taking out a
7
1
blue pen from the population is given that5. Others are green pens.
a) Work out the number of red pens in the population.
…………………………………………..
(2)
If Kane took out 2 green pens from the population
b) Work out the probability of taking out a green pen from the population.
…………………………………………..
(2)
4. The diagram shows an upper view of a garden. AD is the diameter of the garden (semi-circle).
A D Diagram NOT accurately drawn
AD is 14m and the whole garden is covered by two types of grasses. AB, BC, and CD are semi circles. S is
covered by a grass where costs $5 per square meter and the remaining part is covered with another type of
grass where $8 costs per square meter.
Calculate the total cost to cover the garden with grasses.
…………………………………………..
(4)
5. Plot each functions in same graph sheet. 𝑦 = 𝑥 2 − 𝑥 + 1, 𝑦 = 𝑥 + 4
Hence solve 𝑥 2 − 2𝑥 − 3 = 0
…………………………………………..
(4)