Exam style questions - Hodder Plus Home

4 The longer side of a rectangle is 2 cm longer than its
shorter side.
Its perimeter is 36 cm.
Let x cm be the length of the shorter side.
a Write down an equation in x. [2]
b Solve your equation to find x. [2]
c Find the area of the rectangle. [1]
5 Solve these equations.
a 3x 2 = 27 [2]
b 4x + 1 = 7 − 2x [3]
3 A car park contains vans and cars. The ratio of
the vans to cars is 1 : 6. There are 420 vehicles in
the car park.
a How many vans are there
b How many cars [2]
4 Adrian, Penelope and Gladys shared a lottery win
in the ratio 2 : 5 : 8.
They won £7000.
How much did each receive, correct to the nearest
penny [3]
5 The table shows the prices of different packs of
chocolate bars.
Pack Size Price
18 Ratio and
proportion
Here is an exam question …
John and Peter did some gardening. They shared the
money they were paid in the ratio of the number of
hours they worked.
John worked for 5 hours. Peter worked for 7 hours.
They were paid a total of £28.80.
How much did each one receive [2]
… and its solution
Ratio is 5 : 7
Total = 12
One share = 28.8 ÷ 12
= £2.40
John receives 5 × 2.40 = £12
Peter receives 7 × 2.40 = £16.80
Check: £12 + £16.80 = £28.80
Now try these exam questions
1 Some of the very first coins were made with 3 parts
silver to 7 parts gold.
a How much gold should be mixed with 15 g of
silver in one of these coins [2]
b Another coin made this way has a mass of 20 g.
How much gold does it contain [2]
2 A recipe for rock cakes uses 100 g of mixed fruit
and 250 g of flour. This makes 10 rock cakes.
Jason wants to make 25 rock cakes.
How much mixed fruit and flour does he need [2]
Standard 500 g £1.15
Family 750 g £1.59
Special 1.2 kg £2.49
Find which pack is the best value for money. You
must show clearly how you decide. [4]
19 Statistical
calculations 2
Here is an exam question …
A wedding was attended by 120 guests.
The distance, d miles, that each guest travelled was
recorded in the frequency table.
Calculate an estimate of the mean distance
travelled. [5]
Distance (d miles)
Number of guests (f)
0 < d 10 26
10 < d 20 38
20 < d 30 20
30 < d 50 20
50 < d 100 12
100 < d 140 4
© Hodder Education 2011 Unit A
17