Download Revision Practice for Target C grade GCSE Geometry

Mathsercise
Revision Practice
for Target C grade
GCSE Geometry
Mathsercise-C
Angles
Work out the size of angles x and y.
Give reasons for your answers
125
o
x
y
Angles
1
Work out the size of angles x and y.
Give reasons for your answers
62
o
40
o
x
y
Angles
2
Find the angle marked g. Give a reason
for your answers
28
o
95
o
g
Angles
3
Find angles x and y.
Give reasons for your answers
68
o
120
o
y
x
Angles
4
Mathsercise-C
Area &
Volume
Work out the area of this trapezium
13cm
7cm
10cm
Area &
Volume
1
Work out the volume of this cuboid
10cm
6cm
15cm
Area &
Volume
2
A cuboid has:
Height = 3m
Length = 9m
Width = 5m
What is the volume?
Area &
Volume
3
A cuboid has:
Volume = 160cm3
Length = 8cm
Height = 4cm
Work out the width of the cuboid
Area &
Volume
4
Mathsercise-C
Circles 1
The radius of a circle is 6.4cm
Work out the area of the circle (to 3sf)
6.4cm
Circles
1
The radius of a circle is 5.2m
Work out the circumference of the
circle (to 2 d.p)
5.2m
Circles
2
AT and BT are tangents to a circle centre O
If angle AOB is 140o, then name any right
angles, and find the size of angle ATB
A
O
T
B
3
AS and AT are tangents to a circle centre O
Calculate the size of angle SAO if angle SOA
is equal to 48o
S
A
O
Circles
T
Circles
4
Mathsercise-C
Circles 2
If AB is the diameter of the
circle, give a reason why angle
ACB is a right angle
A
B
C
Circle
Geometry
1
Given angle BCD equals 115o
Work out the size of angle BAD
and give a reason for your answer
C
B
115o
D
A
Circle
Geometry
2
A, B, C and D are points on a circle.
Work out angle ACB and give a reason for
your answer
B
A
54o
D
C
Circle
Geometry
3
In the circle, centre O, the angle BOD = 96o
Work out angles BAD and BCD
A
O
96o
B
C
D
Circle
Geometry
4
Mathsercise-C
Construction
Use a ruler and a compass to
construct an equilateral triangle
of side length 3cm
Construction
1
Construct a triangle of sides 3cm,
4cm, and 5cm
Construction
2
Use a ruler and compasses to construct a
perpendicular to the line AB at point P
A
Px
B
Construction
3
Use a ruler and compasses to construct a
right angle
Construction
4
Mathsercise-C
Elevations &
Enlargements
On the grid enlarge the shape with a
scale factor of 2
Elevations &
Transformations
1
On the grid enlarge the shape with a
scale factor of ½
Elevations &
Transformations
2
Given these elevations of a 3D shape,
sketch the shape below
Side
Elevation
Plan
Front
Elevation
Elevations &
Transformations
3
The diagram shows a solid object
Draw a plan, front and side elevation for this
object
Elevations &
Transformations
4
Mathsercise-C
Polygons 1
What do the external angles total?
What is the value of x?
x
x
x
x
x
Polygons
1
The exterior angle of a regular polygon
is 45o . How many sides has the polygon?
Polygons
2
Find the value of x
107
o
34
o
48
63
o
o
x
47
o
Polygons
3
Find the size of the interior angle of
this regular octagon
Polygons
4
Mathsercise-C
Polygons 2
Work out the exterior angle of an
hexagon
?
Polygons 2
1
Work out angles x and y and give
reasons
yo
108o
xo
Polygons 2
2
ABCD is a quadrilateral. Work out the size of
the largest angle
A
119o
D
73o
3yo
B
yo
C
Polygons 2
3
Work out the size of the missing angles in
this pentagon
(x + 47)o
87o
xo
106o
(2x + 20)o
Polygons 2
4
Mathsercise-C
Pythagoras
Use Pythagoras to work out the
length of AB
9m
B
C
5m
A
Pythagoras
1
Work out the length of AC
B
8.3m
2.5m
A
C
Pythagoras
2
Find the length of AC in this right
angled triangle
A
5cm
C
B
12cm
C
Pythagoras
3
Find the length of AC in this right
angled triangle
A
10.5cm
B
17.5cm
C
Pythagoras
4
Mathsercise-C
Surface Area
& Volume
The area of the cross section of the
triangular prism is 20cm2. The length
is 12cm
Work out the volume of the prism
m
12c
20cm2
Surface Area
& Volume
1
7c
m
cm
10
9cm
Work out the surface area of this
triangular prism
4cm
Surface Area
& Volume
2
The cylinder has a height of 10cm and a
radius of 5cm
Calculate the volume of the cylinder
10cm
5cm
3
Calculate surface area correct to 3 sf
3cm
10cm
Surface Area
& Volume
Surface Area
& Volume
4
Mathsercise-C
Scale
Drawing
Here is a sketch of a triangle.
D
Draw it accurately
5cm
75o
7cm
Scale
Drawing
1
Here is a sketch of a quadrilateral.
Draw it accurately
4cm
140o
5cm
75o
6cm
Scale
Drawing
2
Construct the triangle AB where –
AB = 5.3cm, BC = 6cm,
angle ABC = 112o
Scale
Drawing
3
Measure the bearings of A from B,
and B from A
x A
x B
Scale
Drawing
4
Mathsercise-C
Transform 1
Draw a reflection of Triangle A in the
given line
A
Transform
1
Reflect triangle B in the line wz
y
w
B
x
z
Transform
2
a) Draw a reflection of C in the y axis
b) Rotate C 90o clockwise about the origin
y
C
x
Transform
3
Rotate triangle D 90o anticlockwise
about the point A.
D
A
.
Transform
4
Mathsercise-C
Transform 2
The big triangle is a scale factor
enlargement of the smaller triangle
Find x and y
3cm
y
15cm
x
4cm
12cm
Transformations
1
The big trapezium is a scale factor 4
enlargement of the smaller trapezium
Find x, y and z
60o
z
y
5cm
x
8cm
4cm
16cm
Transformations
2
Enlarge this L by scale factor 2 about
point A
A
.
Transformations
3
Enlarge this shape by scale factor ½ about
point X
.
x
Transformations
4
Mathsercise-C
Trigonometry
Calculate the length AB
A
B
24o
7.4cm
C
1
Trigonometry
Find angle BAC
A
2.4m
3.8m
B
C
Trigonometry
2
Find the size of the angle marked x and
give your answer to 1 dp
10cm
12cm
x
Trigonometry
3
Find the length of AB and give your answer
to 3sf
A
B
70o
C
5.2cm
Trigonometry
4
Mathsercise-C
Units
Change
Change 4m2 to cm2
(Be Careful!)
Units change
1
Change 45cm2 to mm2
Units change
2
In these expressions a, b and c represent
lengths. The numbers have no dimension
Two of the expressions represent areas. Tick
under the expressions that show area.
ab + bc
(a + b)c
3a2+ 2b2
ac + b
2a
3ab
Units change
3
In these expressions a, b and c represent
lengths. Π and 2 have no dimension
Three of the expressions represent areas.
Tick under the expressions that show area.
ab + bc
πa3
πa2+ b2
2ab
2a
Π(3ab
Units change
4