Exam style questions - Hodder Plus Home
Exam style questions - Hodder Plus Home
Exam style questions - Hodder Plus Home
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
a Use these data to find the probability that the<br />
next vehicle to pass the junction<br />
i is a car. [3]<br />
ii is a bus. [2]<br />
iii has more than two wheels. [2]<br />
Give your answers as fractions in their lowest<br />
terms.<br />
b Will this give reliable results for vehicles passing<br />
the junction at 11:00 p.m<br />
Explain your answer. [1]<br />
2 The probability that United will win any match<br />
is 0.65. The probability that they lose any match<br />
is 0.23.<br />
a What is the probability that United will draw<br />
any match [2]<br />
b Estimate the number of matches United will win<br />
in a season of 46 games. [2]<br />
3 In tennis a draw is not possible.<br />
Roger says the probability that he will beat Andy in<br />
their next match is 0.7.<br />
Andy says the probability that he will beat Roger in<br />
their next match is 0.35.<br />
Explain why they cannot both be right. [2]<br />
4 Mosna throws a dice 10 times.<br />
These are her results.<br />
Score 1 2 3 4 5 6<br />
Number of times 1 3 1 2 3 0<br />
Mosna says this is evidence that the dice is biased as<br />
the probability of getting a six is zero.<br />
Is Mosna right Explain your answer. [2]<br />
… and its solution<br />
Shape = square of side 20 cm + one whole circle of<br />
radius 10 cm<br />
Area of shape = 20 × 20 + π × 10 2 = 714.2 cm 2 (to 1 d.p.)<br />
Perimeter of shape = two semicircles + two sides of<br />
square<br />
= circumference of whole circle +<br />
40cm<br />
= π × 20 + 40<br />
= 102.8 cm (to 1 d.p.)<br />
Here is another exam question …<br />
Find the volume of this greenhouse.<br />
The ends are semi-circles. [3]<br />
… and its<br />
solution<br />
Area of end = 1 2 × πr2<br />
= 1 2 × π × 2.52<br />
Volume = area of end × length<br />
= ( 1 2 × π × 2.52 ) × 11<br />
= 108 m 3 (to 3 s.f.)<br />
5 m<br />
Now try these exam <strong>questions</strong><br />
11 m<br />
1 Work out the area of the lawn in this diagram. [4]<br />
7 Perimeter, area<br />
and volume 2<br />
Here is an exam question …<br />
A heart shape is made from a square and two<br />
semi-circles. Find the area and perimeter of the<br />
heart shape.<br />
24 m Patio<br />
28 m<br />
2 The circumference of a circle is 26 cm. Calculate<br />
the radius of this circle. [2]<br />
3<br />
3 m<br />
2.5 m<br />
Lawn<br />
20 cm<br />
[6]<br />
The diagram shows a garden pond with a path<br />
round it.<br />
a A fence is to be made round the pond on the<br />
inside of the path.<br />
Calculate the length of the fence. [2]<br />
b Find the area of the path. [4]<br />
© <strong>Hodder</strong> Education 2011 Unit C<br />
51
Change language