AQA - Module 5 - Sheffield Maths

AQA - Module 5
1.
Area of Compound Shapes
Rectangles and Squares
For each of the following shapes find the lengths of any missing sides
and then find the perimeter and area of the shape.
3cm
(a)
5cm
......
......
10cm
(b)
6cm
......
......
4cm
2cm
7cm
3cm
More of the Same
Find the area of each of the following compound shapes.
7cm
(a)
(b)
7m
4m
7cm
10cm
4c
m
25cm
9m
(c)
3m
7.3cm
6.1cm
2.2cm
14mm
(d)
5cm
(e)
18mm
1.7cm
7cm
6mm
6cm
4cm
5mm
5mm
8cm
7cm
More Complicated Shapes
Find the area of each of the following compound shapes.
(a)
6m
(c)
(b)
5cm
5m
4cm
11cm
7cm
8m
8cm
8cm
11m
(d)
(e)
1.8cm
2.3cm
m
6mm
1.9cm
m
8mm
1.4cm
Packaging
7cm
The diagram below shows the net
used to make a certain product.
The net is made up of a square
4cm
and four triangles.
The net is to be made out of card.
Find the total area of card needed to
make each net.
AQA - Module 5 – Question Bank
Hexagon
The diagrams below show three hexagons. Which hexagon has the
biggest area? You must show all your working
Hexagon 1
Hexagon 2
3cm
Hexagon 3
4cm
5cm
2cm
5cm
3cm
3cm
4cm
Road Sign
The diagram opposite shows a sign
that has been placed on a road.
Find the area of the green arrow.
56cm
68cm
25cm
82cm
Coordinate Problem
A quadrilateral is made up by plotting the following points and then
joining them together (4, 4), (4, 7), (10, 7), (14, 4)
Find the area of the shape obtained
Logo
A logo for an organisation is made up
of a purple cross on a white background.
The diagram shows the logo and its
0.4m
0.3m
0.25m
0.1m
dimensions. The cross has two lines of
symmetry as shown by the dotted lines.
Find the area of the cross.
AQA - Module 5 – Question Bank
The Star
Find the area of the star opposite.
6cm
You should show all your working.
5cm
Each point on the star is the same.
8cm
(Think of the star as one large
triangle and three smaller ones)
T-Shirt Design
A clothing company makes T-Shirts.
One of their T-shirts has the
32cm
following design on it.
23cm
Find the area of the design.
22cm
Staircase
The diagram shows the side view of a staircase.
This side of the staircase is to be painted.
Each step is 0.7m wide and 0.6m high.
Find the area of paint needed.
0.7m
0.6m
Area of Problem
A design on a Christmas card is in
6cm
the shape of a Christmas tree. The tree
is made up of three congruent green
triangles and a brown square.
Some parts of the triangles are hidden.
12cm
4cm
Find the total area of green showing.
7cm
4cm