H

59 o
Homework 1 – BH1.3
Find the size of the shaded angles in each diagram.
(O is the centre of each circle, PS and PT are tangents)
7.
4.
43 o
1.
O
O
57 o
P
2.
5.
41 o
O
O
S
8.
T
88 o
62 o
O
O
S
Calculate the size of angle x in each diagram below.
9.
10.
x x
O
O
65 o x
3.
48 o
6.
O
O
80 o
O
S
36 o
11.
40 o
P
P

Homework 2 – BH1.4
2.
1.

4.
3.

Homework 3 – BH2.6
Calculators must not be used for the following questions. Show all necessary working.
Calculate the gradient of the line joining each pair of points
1. a) A ( 2 , -1 )
B ( 4 , 7 ) b) X ( -1 , 1 )
Y ( 5 , 13 ) c) R ( -2 , -5 )
S ( 2 , -7 )
2. Write down the gradient and y – intercept of the following lines a) y = 3x – 2 b) y = x + 4 c) y = 4x d) y = - 2x – 1
3. Rearrange these equations in the form y = mx + c and then write down the gradient and y – intercept : a) y – 2 x = 3 b) y – x + 3 = 0
4. Write down the equation of the line with :
a) gradient 2 and y-intercept -1
b)gradient -3 and passing through the origin
5. In which pairs are the lines parallel – give reason for your answer a) y = 2x – 5 y = 2x + 1 b) y = 3x + 6 y = 6x + 6 c) y – x = 3 y – x = 0

Homework 4 – BH2.9
Calculators may be used for the following questions. Show all necessary working.
A tank which holds 100 litres of water has a leak.
After 150 minutes, there is no water left in the tank. v
100 litres
O minutes 150 t
The above graph represents the volume of water ( v litres) against time ( t minutes).
(a) Find the equation of the line in terms of v and t .
(b) How many minutes does it take for the container to lose 30 litres of water?
Homework 5 – BH2.11
Question 1

Question 2
Question 3

Question 4
Question 5

Homework 6 – BH3.2
Calculators must not be used for the following questions.
Show all necessary working.
1
. x + y = 12 x – y = 4
2. x + y = 5 x – y = 2
3
.
5
.
2x + 4y =
4x – 3y = 3
7
4. 2x + 5y = 16
x – y = 1
6. 2x – 5y = 1
4x – 3y = 9
7
.
9
.
x + y = 0
4x + 3y = 3 x + y = 2
2x – y = 2
2x + 3y = 8
3x + 2y = 17
8.
10.
2x – y =
x – 2y =
3x + 4y =
2x + y =
5
4
-3
-7

3.
Homework 7 – BH3.3
Show all necessary working.
1 Alloys are made by mixing metals. Two different alloys are made using iron and lead.
To make the first alloy 3 cubic centimetres of iron and 4 cubic centimetres of lead are used . This alloy weighs 65 grams. a) Let x be the weight of 1 cubic centimetre of iron and y be the weight of 1 cubic centimetre of lead – write an equation using x and y which satisfies this condition.
To make the second alloy 5 cubic centimetres of iron and 7 cubic centimetres of
lead are used. This alloy weighs 112 grams. b) Write an equation using x and y which satisfies this condition. c) Find the weight of 1 cubic centimetre of iron and 1 cubic centimetre of lead.
2. (a) 4 peaches and 3 grapefruits cost £1.30.
Write down an algebraic equation to illustrate this.
(b)
2 peaches and 4 grapefruits cost £1.20.
Write down an algebraic equation to illustrate this.
(c) Find the cost of 3 peaches and 2 grapefruits.
The tickets for a Sports Club disco cost £2 for members and £3 for nonmembers.
(a) The total ticket money collected was £580. x tickets were sold to members and y tickets were sold to non-members.
Use this information to write down an equation involving x and y .
(b) 250 people bought tickets for the disco.
Write down another equation involving x and y .
(c) How many tickets were sold to members?

Homework 8 – BH4.3
1. Simplify a)
6𝑥𝑦
2
2𝑥 b)
2. Factorise fully and simplify a) 𝑥 2 𝑥
2
−1
−7𝑥+6 b)
3. Simplify a)
4
5𝑥
1
2𝑦
4. Simplify
2𝑞
3 a) 𝑟
5𝑟
2𝑞 4 b) b)
Homework 9 – BH5
(𝑝−3)(𝑝+2)
3𝑥
9
2 𝑝+2
5𝑥+10
4𝑘+5
18𝑣
3 𝑤
+7𝑥+2
3𝑘−4
6
9𝑣 𝑤 2
1. Express each of the following in its simplest form
(a) √8 (b) √12 (c) √27 (d) √20 (e) √50 (f) √28
(g) √18 (h) √24 (i) √200 (j) √75 (k) √45 (l) √72
(m) √300 (n) √147 (o) √54 (p) 7√8 (q) 5√32 (r) 6√40