S4 HOMEWORK 9
To gain all marks, full working must be shown.
Topic: Solving Quadratic Equations
1.
Solve the following quadratic equations:
a) 𝑎2 − 11𝑎 + 18 = 0
c) 𝑐 2 + 21𝑐 + 110 = 0
e) − 𝑒 2 − 8𝑒 + 9 = 0
b) 𝑏 2 − 2𝑏 = 0
d) 𝑑 2 − 4 = 0
f) 64𝑓 2 – 1 = 0
(8)
Mixed Questions
1.
An equilateral triangle has sides of length 10cm.
Calculate its area correct to 2 significant figures.
(4)
2.
The tickets for a sports club disco cost £2 for members and £3 for non-members.
The members bought x tickets and the non-members bought y tickets.
The total number of tickets sold was 235 and the total ticket money collected was
£580.
(a)
(b)
Use this information to write down two equations involving x and y.
How many tickets were sold to members and how many to non-members?
(2,3)
3.
The parabola has equation y = 4 x2  7 x  2
Find the coordinates of A and B
(4)
4.
5.
𝐿2 = 𝑊 +
3
𝑔
Change the subject to g
(4)
A function is defined as 𝑓(𝑥) = 272𝑥
1
a) Find EXACTLY the value of 𝑓( ).
4
b) Find the value of t such that 𝑓(𝑡) =
1
(1, 2)
3
Total 28
National 5 Mathematics
KHS 2015-16