Exam style questions - Hodder Plus Home

... and its solution
a Upper bound 5.5 m Lower bound 4.5 m
b 5.5 × 3.5 = 19.25 m² Upper bound of width = 3.5 m
c 19.25 × 10 000 = 192 500 cm²
Now try these exam questions
1 A rectangle has dimensions 354 cm by 64 cm.
a Work out the area
i in cm 2 . ii in m 2 .
b The dimensions were measured to the nearest
centimetre.
Write down the bounds between which the
dimensions must lie. [5]
2 A block of wood is a cuboid measuring 6.5 cm
by 8.2 cm by 12.0 cm.
a Calculate the volume of the cuboid.
The density of the wood is 1.5 g/cm 3 .
b Calculate the mass of the block. [4]
3 A bicycle wheel has diameter 62 cm. When Peter
is cycling one day, the wheel turns 85 times in
one minute.
a What distance has the wheel travelled in
1 minute
b Calculate Peter’s speed, in kilometres per hour. [5]
4 The population of Denmark is 5.45 million. The
land area of Denmark is 42 400 km 2 . Calculate the
population density of Denmark. Give your answer
to a sensible degree of accuracy. [3]
5 The dimensions of this rectangle are given to the
nearest cm.
Calculate upper and lower bounds for the
perimeter. [4]
5 The area of
triangles and
parallelograms
Here is an exam question …
The area of this triangle is 48 cm².
Calculate the value of h. [3]
h cm
12 cm
… and its solution
Area = 1 2
× 12 × h = 48
So 6h = 48
And h = 8 cm
Now try these exam questions
1 a Find the area of this triangle.
5.0 cm
18 cm
13 cm
6 Bob travels the first 30 miles of a journey at 60 mph.
He travels the next 15 miles at 20 mph.
a Find the time, in hours, he took to travel the
first 30 miles. [2]
b Find the average speed, in mph, for the whole
journey. [3]
b Calculate the length of the hypotenuse of this
triangle. Give your answer to a sensible degree
of accuracy. [5]
2 Find the total area of this shape. [4]
Not to scale
4.6 cm
4.6 cm
0.7 cm
5 cm
6 cm
© Hodder Education 2011 Unit C
49