Exemplification
Examples of what children should be able to do, in relation to each (boxed) Programme of Study statement
Probability
Example A
A box contains bricks which are orange or blue or brown or yellow.
Damion is going to choose one brick at random from the box.
The table shows each of the probabilities that Damion will choose an orange brick or a brown brick or a yellow brick.
Colour 
Orange 
Blue 
Brown 
Yellow 
Probability 
0.32 

0.20 
0.19 
Work out the probability that Damion will choose a blue brick.
Example B
Two boxes each contain a different number of black and blue ink pens.
Box 1 (Bikko) has 7 black and 11 blue ink pens.
Box 2 (Stylo) has 5 black and 7 blue ink pens.
Kylie picks a pen at random from a box. From which box is she more likely to select a blue pen? Why?
Example C
Trishane designs a game.
It costs £1.20 to play the game.
The probability of winning the game is 310
The prize for each win is £2.50
150 people play the game.
Work out an estimate of the profit that Trishane should expect to make.
Example D
Two coins are thrown at the same time. There are four possible outcomes:
HH HT TH TT
How many possible outcomes are there if:
 three coins are used?
 four coins are used
 five coins are used?
Statistics
Example E
Three children have a mean age of 10.
The range of their ages is 6.
Give two sets of possible ages for the children.
Example G
20 students scored goals for the school hockey team last month. The table gives information about the number of goals they scored.
Goals scored 
Number of students 
1 
8 
2 
4 
3 
5 
4 
3 
 Write down the modal number of goals scored.
 Work out the range of the number of goals scored.
 Work out the mean number of goals scored.
Example H
In a survey, some students were asked what their favourite leisure activity was.
Their answers were used to draw this pie chart.
 Write down the fraction of the students who answered “Television”.
Write your answer in its simplest form.
12 students answered “Reading”.
 Work out the number of students who took part in the survey.
 How many answered “Sport”?
Example I
Here is a scatter graph. One axis is labelled “Height”.
 From the list below, choose the most appropriate label for the other axis.
 length of hair
 number of sisters
 length of legs
 GCSE French mark
 Describe the correlation shown on this graph. Explain why you think this.