National 5 Mathematics (1YR)
Formal Homework 4
You must not use a calculator for this homework
1.
Simplify
2.
Simplify
(a)
3.
(a)
147  5 3
p 3 ( p 2  p 3 )
(b)
y4  y
y 2
2( 3  2)  6
(c)
k 8  (k 2 ) 3
2,2
Find the equation of the line joining the points (-2,5) and (3,15)
Give the equation in its simplest form.
Find the length of the diagonal, AB,
of this rectangle leaving your answer
as a surd in its simplest form.
3
Evaluate
a)
16 4
b)
3
B
2 5
A
6.
2,2,2
(b) 3x = y  10
2 7
5.
2,2
Find the gradient and the coordinates of the point where these lines cross the y axis:
(a) 3y =  5x 12
4.
(b)
3
5 3
2,2
7.
A farmer has 3 fields which cover an area of 8 12 acres of land.
Two of the fields have areas of 2 23 acres and 1 34 acres.
What is the area of the third field?
3
Total: 27 marks