HW 1
HW 2
HW 3
HW 4
HW 5
HW 6
HW 7
HW 8
General Revision
Percentages
Volume
Linear Relationships
Algebraic Operations
Circle
All of Unit 1
All of Unit 1
HW 9
HW 10
HW 11
HW 12
HW 13
HW 14
HW 15
HW 16
Trigonometry
Simultaneous Equations
Graphs, Charts and Tables
Statistics
All of Unit 1 and 2
All of Unit 1 and 2
Int 2 Maths Mixed Homework Exercise 1
Int 2 Maths Mixed Homework Exercise 1
1)
Calculate the size of the side k.
k
1)
C
Calculate the size of the side k.
23 cm
14
k
o
C
23 cm
14
o
2) Calculate
2) Calculate
C
C
b) 64% of 893 kg
a) 47% of $5672
3) Calculate area and circumference of this circle.
Give your answers correct to 2 significant figures.
b) 64% of 893 kg
a) 47% of $5672
3) Calculate area and circumference of this circle.
Give your answers correct to 2 significant figures.
C
20 cm
20 cm
4) Expand and simplify.
4) Expand and simplify.
C
C
a)
4(w+3)+6(w-6)
b) 9
a)
(k+2)-5(k-4)
4(w+3)+6(w-6)
b) 9
(k+2)-5(k-4)
5) Factorise.
5) Factorise.
C
C
a)
4x + 20
b)
a)
6xy + 9y
4x + 20
b)
6xy + 9y
6) Calculate
6) Calculate
C
C
a) 12.5% of £1016
C
b) 17.5% of £800
a) 12.5% of £1016
b) 17.5% of £800
Int 2 Maths Mixed Homework Exercise 2
Int 2 Maths Mixed Homework Exercise 2
1) Round the number 683 169 to
a) 1 sig fig
b) 2 sig figs
C
a) 1 sig fig
c) 4 sig figs
2) A house was valued at £172 000 three years ago.
Since then it has appreciated by 5%, 7% and 8%
in successive years.
Find the actual increase in the value of the house
to the nearest pound.
C
3) A man places £7800 in the bank and leaves it there
for six years. If the rate offered is 7.2% p.a. then
how much interest has he gained over the 6 year
period?
4) Amy received a 8% pay rise taking her annual salary
to £20 520. What did she earn in a year before this
pay rise ?
5) A shopkeeper buys 24 bottles of wine for £108.
He sells them for £6.50 each.
Express his profit as a percentage of the cost price.
Give your answer correct to two decimal places.
6) A flagpole is supported by two wires secured to the
ground at the same point as shown in the diagram.
The smaller wire is 34 m long.
The longer wire is 52 m long.
a) Find the height at which the small wire is
attached to the mast.
b) Find the distance between the two wires
when they are attached to the flag pole.
1) Round the number 683 169 to
52 m
34 m
26 m
C
C
C
C
b) 2 sig figs
C
c) 4 sig figs
2) A house was valued at £172 000 three years ago.
Since then it has appreciated by 5%, 7% and 8%
in successive years.
Find the actual increase in the value of the house
to the nearest pound.
C
3) A man places £7800 in the bank and leaves it there
for six years. If the rate offered is 7.2% p.a. then
how much interest has he gained over the 6 year
period?
4) Amy received a 8% pay rise taking her annual salary
to £20 520. What did she earn in a year before this
pay rise ?
5) A shopkeeper buys 24 bottles of wine for £108.
He sells them for £6.50 each.
Express his profit as a percentage of the cost price.
Give your answer correct to two decimal places.
6) A flagpole is supported by two wires secured to the
ground at the same point as shown in the diagram.
The smaller wire is 34 m long.
The longer wire is 52 m long.
a) Find the height at which the small wire is
attached to the mast.
b) Find the distance between the two wires
when they are attached to the flag pole.
52 m
34 m
26 m
C
C
C
C
Int 2 Maths Mixed Homework Exercise 3
1)
Int 2 Maths Mixed Homework Exercise 3
A caravan was valued at £16 000 two years ago.
Since then it has depreciated by 8% and 7.3% in
successive years.
Find the current value of the caravan.
1)
C
2) Calculate
a) 12
1
2
A caravan was valued at £16 000 two years ago.
Since then it has depreciated by 8% and 7.3% in
successive years.
Find the current value of the caravan.
C
2) Calculate
b)
% of £79500
2
1
2
C
a) 12
% of 4200 m
3) Find the area and the perimeter of this shape.
C
1
2
b)
% of £79500
2
1
2
C
% of 4200 m
3) Find the area and the perimeter of this shape.
9 cm
C
9 cm
5 cm
5 cm
4 cm
4 cm
4) Mr Evans’ car has depreciated in value by 11% over the
last year. It is now worth £4628. What was the value
of the car this time last year ?
5) Calculate the volume of this cylinder.
Give your answer in litres.
C
C
4) Mr Evans’ car has depreciated in value by 11% over the
last year. It is now worth £4628. What was the value
of the car this time last year ?
5) Calculate the volume of this cylinder.
Give your answer in litres.
50 cm
C
C
50 cm
95 cm
95 cm
6) Find the volume of this hemi - sphere to 3 sig figs.
[ V 
30 cm
4
3
C
r
3
6) Find the volume of this hemi - sphere to 3 sig figs.
(sphere) ]
[ V 
30 cm
4
3
C
r
3
(sphere) ]
Int 2 Maths Mixed Homework Exercise 4
1)
Int 2 Maths Mixed Homework Exercise 4
£4800 is put into a bank account and left there for 6
years. If the bank offers a rate of 2.72% p.a. How
much interest has this money made during this time ?
1)
C
2) Write down the equation of this straight line.
y
C
4
4
2
2
0
-2
-2
2
4
x
-4
-4
C
0
-2
-2
2
4
x
-4
3) Calculate the volume of this prism.
17 cm
C
9 cm
3) Calculate the volume of this prism.
17 cm
C
9 cm
4 cm
27 cm
x
y
-2
-1
0
1
5) You achieved 45 out of 70 in a Maths test.
Express this as a percentage.
Give you answer correct to 3 significant figures.
4 cm
27 cm
4) The equation of a straight line is y = 3x - 2.
Copy and complete the table and hence make a
neat sketch of this line.
C
4) The equation of a straight line is y = 3x - 2.
Copy and complete the table and hence make a
neat sketch of this line.
2
x
y
-2
-1
0
1
5) You achieved 45 out of 70 in a Maths test.
Express this as a percentage.
Give you answer correct to 3 significant figures.
C
6) Calculate
C
2
C
6) Calculate
C
a) 12 + 5 x 9
C
2) Write down the equation of this straight line.
y
-4
£4800 is put into a bank account and left there for 6
years. If the bank offers a rate of 2.72% p.a. How
much interest has this money made during this time ?
b) 111 – 72 ÷ 4
C
a) 12 + 5 x 9
b) 111 – 72 ÷ 4
Int 2 Maths Mixed Homework Exercise 5
Int 2 Maths Mixed Homework Exercise 5
1) The equation of a straight line is y = 2x - 3.
Copy and complete the table and hence make a
neat sketch of this line.
x
y
-2
-1
2) Make a neat sketch of the graph of
where the
0
y=-
1
C
1) The equation of a straight line is y = 2x - 3.
Copy and complete the table and hence make a
neat sketch of this line.
x
y
2
4
x+2
3
C
x - axis runs from -6 to 6.
-2
-1
2) Make a neat sketch of the graph of
where the
0
y=-
C
1
2
4
x+2
3
C
x - axis runs from -6 to 6.
3) Expand
3) Expand
C
C
a)
b)
(d + 5)(d - 9)
(4r - 3)
2
a)
(4r - 3)
4) Factorise
4) Factorise
a)
b)
(d + 5)(d - 9)
2
C
C
2
b)
14x + 21
a)
5y – 10y – 15
5) Write down the equation of this line.
-4
C
b)
14x + 21
4
2
2
2
4
5y – 10y – 15
5) Write down the equation of this line.
4
0
-2
-2
2
x
-4
0
-2
-2
C
2
4
x
-4
-4
6) Factorise
6) Factorise
C
C
a)
2
p + 5p - 24
b)
2
a)
5c - 31c - 28
7) Alison bought her flat for £56 000.
She sold it 10 years later for £87 920.
What percentage profit did Alison make?
C
2
p + 5p - 24
b)
2
5c - 31c - 28
7) Alison bought her flat for £56 000.
She sold it 10 years later for £87 920.
What percentage profit did Alison make?
C
Int 2 Maths Mixed Homework Exercise 6
Int 2 Maths Mixed Homework Exercise 6
1)
1)
The capacity of the liquid in this
3
cylinder is 2957 cm . Find the depth
of the liquid to 2 significant figures.
C
The capacity of the liquid in this
3
cylinder is 2957 cm . Find the depth
of the liquid to 2 significant figures.
8.2 cm
8.2 cm
2) Find the perimeter and area of this
minor sector.
Give your answers correct to 3
significant figures.
2) Find the perimeter and area of this
minor sector.
Give your answers correct to 3
significant figures.
C
137
o
7.2 cm
3) The arc length of this shape is 8.16 cm2.
o
Calculate c to 4 significant figures.
C
C
137
7.2 cm
3) The arc length of this shape is 8.16 cm2.
o
Calculate c to 4 significant figures.
C
co
C
co
8.7 cm
4) Make a neat sketch of the graph of
where the
8.7 cm
y=- 1 x-3
2
C
4) Make a neat sketch of the graph of
where the
x - axis runs from -6 to 6.
y=- 1 x-3
2
C
x - axis runs from -6 to 6.
5) Factorise the following:
5) Factorise the following:
a)
t2 + 4t
d)
3p2 - 48
4k2 – 6k - 10
b)
x2 - 16
e)
4k2 – 6k - 10
a2b2– 9b2
c)
2w2 + 5w + 2
f)
a2b2– 9b2
a)
t2 + 4t
d)
3p2 - 48
b)
x2 - 16
e)
c)
2w2 + 5w + 2
f)
C
6) Find the volume of this cone to 2 significant figures.
C
[ V=
C
6) Find the volume of this cone to 2 significant figures.
C
5.92 cm
5.92 cm
27.86 cm
o
1
 r2h (cone) ]
3
27.86 cm
[ V=
1
 r2h (cone) ]
3
Int 2 Maths Mixed Homework Exercise 7
Int 2 Maths Mixed Homework Exercise 7
1)
1)
Find the volume of this shape.
The circle has a diameter of 8 cm.
C
Find the volume of this shape.
The circle has a diameter of 8 cm.
C
17 cm
17 cm
23 cm
23 cm
15 cm
15 cm
2) The area of this shape is 9.83 cm2.
Calculate the diameter of the circle.
Give your answer correct to 2 sig figs.
2) The area of this shape is 9.83 cm2.
Calculate the diameter of the circle.
Give your answer correct to 2 sig figs.
C
23
o
(7,3) and (9,7)
b)
C
(-3,4) and (2,-7)
4) £700 is put into a bank account and left there for 4
years. If the bank offers a rate of 5.72% p.a. how
much interest has this money made during this time ?
5) Does the point (4,2) lie on the line
You must show all working.
6) a) Calculate all the
missing angles.
ABCD is a
tangent kite.
b) Calculate the
length of the
line BD.
C
A
12 mm
5 mm
D
C
xo
57o
C
yo
zo
B
o
a)
(7,3) and (9,7)
b)
C
(-3,4) and (2,-7)
4) £700 is put into a bank account and left there for 4
years. If the bank offers a rate of 5.72% p.a. how
much interest has this money made during this time ?
C
y=- 1 x–4?
2
23
3) Calculate the gradient of the line joining these pairs of points.
3) Calculate the gradient of the line joining these pairs of points.
a)
C
5) Does the point (4,2) lie on the line
You must show all working.
6) a) Calculate all the
missing angles.
ABCD is a
tangent kite.
b) Calculate the
length of the
line BD.
C
y=- 1 x–4?
2
C
A
12 mm
5 mm
D
C
xo
57o
C
yo
zo
B
Int 2 Maths Mixed Homework Exercise 8
Int 2 Maths Mixed Homework Exercise 8
1)
Find the area of this shape.
1)
Find the area of this shape.
C
C
14 cm
14 cm
10 cm
10 cm
26 cm
26 cm
y=- 5 x-4
3
2) Make a neat sketch of the graph of
where the
C
2) Make a neat sketch of the graph of
where the
x - axis runs from -6 to 6.
y=- 5 x-4
3
C
x - axis runs from -6 to 6.
3) Calculate the size of the missing angles.
3) Calculate the size of the missing angles.
C
C
22o
22o
4) The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on the
same straight line.
What is the equation of this line ?
5) Multiply out the brackets and simplify:
a)
(t
b)
- 4)(t + 4)
C
a)
- 4g
C
b)
3y2
- 21
c)
8l2
- 10l - 3
4) The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on the
same straight line.
What is the equation of this line ?
5) Multiply out the brackets and simplify:
a)
10 - 8(s2 - 4)
6) Factorise fully:
g3
C
(t
- 4)(t + 4)
C
b)
10 - 8(s2 - 4)
c)
8l2
6) Factorise fully:
a)
g3
- 4g
C
C
b)
3y2
- 21
- 10l - 3
Int 2 Maths Mixed Homework Exercise 9
1) Find 12
2) Find
1
% of £1403.60 by doing only one sum.
2
x in each of these triangles.
a)
b)
x
7 cm
25 m
1) Find 12
2) Find
xo
C
x in each of these triangles.
b)
x
7 cm
Q
52o
35 m
23o
P
R
C
Y
Z
52o
23o
35 m
R
C
Z
X
5) Find the length of LN.
L
C
5) Find the length of LN.
L
C
70o
70o
40o
C
39 m
14o
X
K
Q
4) Find the size of angle XYZ.
39 m
14o
C
15 cm
4) Find the size of angle XYZ.
Y
xo
37 m
15 cm
P
25 m
33o
3) Find the length of the side QP.
C
C
1
% of £1403.60 by doing only one sum.
2
a)
37 m
33o
3) Find the length of the side QP.
Int 2 Maths Mixed Homework Exercise 9
C
M
N
73 m
K
40o
M
N
73 m
Int 2 Maths Mixed Homework Exercise 10
Int 2 Maths Mixed Homework Exercise 10
1) Samantha get a 7% pay rise. She now earns £26 750.
How much did she earn before her pay rise?
2) The equation of a straight line is
y = - 1 x - 4.
2
2) The equation of a straight line is
C
-4 -2 0
2
4
3) Calculate the perimeter of this shape.
115o
x
y
C
30o
C
-4 -2 0
2
4
115o
C
30o
97m
47o
47o
95o
4) Calculate the size of the largest angle in this triangle.
C
16 m
5) Calculate the area of the shape.
16 m
C
33 cm
15 m
5) Calculate the area of the shape.
19 cm
12 cm
34o
27o
C
14 m
15 m
19 cm
95o
4) Calculate the size of the largest angle in this triangle.
14 m
34o
y = - 1 x - 4.
2
3) Calculate the perimeter of this shape.
97m
12 cm
C
Copy and complete the table and hence make a
neat sketch of this line.
Copy and complete the table and hence make a
neat sketch of this line.
x
y
1) Samantha get a 7% pay rise. She now earns £26 750.
How much did she earn before her pay rise?
C
27o
33 cm
C
Int 2 Maths Mixed Homework Exercise 11
Int 2 Maths Mixed Homework Exercise 11
1) a)
b)
Sketch the straight lines
y = 4x + 1 and y = -2x + 1.
C
1) a)
b)
Write down the coordinates where the lines cross.
Sketch the straight lines
Write down the coordinates where the lines cross.
C
7x – 3y = -13
3x + y = -5
3) Find the area of this equilateral triangle.
C
7x – 3y = -13
3x + y = -5
3) Find the area of this equilateral triangle.
C
C
25 mm
25 mm
4) An aircraft is picked up by two radar stations, A and B.
Station B is 70 km away and due East of station A.
The plane is on a bearing of 47o from station A and 320o
from station B.
How high is the plane above the ground?
5) a) Find the area of this shape.
4) An aircraft is picked up by two radar stations, A and B.
Station B is 70 km away and due East of station A.
The plane is on a bearing of 47o from station A and 320o
from station B.
How high is the plane above the ground?
C
5) a) Find the area of this shape.
C
b) Find the perimeter of this shape.
127o
127o
14 m
1
% of £6800 by doing only one sum.
2
7) It costs £18 for an adult to go to the football.
It costs £7.50 for a child to go to the football.
A group of 8 people go to the football.
It costs £112.50.
How many adults went to the football?
C
C
14 m
6) Find 12
C
2) Solve this system of equations.
2) Solve this system of equations.
b) Find the perimeter of this shape.
y = 4x + 1 and y = -2x + 1.
C
C
6) Find 12
1
% of £6800 by doing only one sum.
2
7) It costs £18 for an adult to go to the football.
It costs £7.50 for a child to go to the football.
A group of 8 people go to the football.
It costs £112.50.
How many adults went to the football?
C
C
Int 2 Maths Mixed Homework Exercise 12
1) Solve this system of equations.
C
7x – 5y = 35
9x – 4y = 45
2) Twenty people are asked about their favourite X factor
judge. Here are the results.
1
4
7
8
C
Louis Walsh
Simon Cowell
Danni Minogue
Cheryl Cole
Show this information in a pie chart.
3) Calculate x,
y and zo.
C
x cm
12.5 cm
10 cm
zo
24 cm
6)
y cm
M is the centre of the circle and TCD is a tangent.
Copy the diagram and mark in all the angles, given
ACT = 50o
A
M
B
T
C
D
C
Int 2 Maths Mixed Homework Exercise 13
1) Central High School have 90 S3 students.
30 travel to school by bus, 40 on foot, 15 on bike and the
rest by car.
C
Show this information in a pie chart.
Graphs, Charts and Tables – check NAB
Int 2 Maths Mixed Homework Exercise 14
3) The number of absences in a school were recorded each week
for two months.
12, 8, 7, 19, 23, 25, 20, 14
Show this information in a box plot.
Statistics
C
Int 2 Maths Mixed Homework Exercise 5
3) Factorise
a)
2
p - 10p + 24
C
b)
2
2p + 11p - 40
4) The arc length of this shape is 8.16 cm.
o
Calculate c to 4 significant figures.
C
c
o
8.7 cm
6) Find 12
1
% of £15 000 by doing only one sum.
2
C