1.
A charity sells raffle tickets for 50p each.
The winning prize is £100.
50 people bought 1 ticket each.
80 people bought 2 tickets each.
70 people bought 3 tickets each.
95 people bought 4 tickets each.
40 people bought 5 tickets each.
Calculate how much profit the charity made on this raffle.
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Answer £ …………………………………….
(Total 4 marks)
2.
A telephone company collected data about the number of telephones in each of 60 households.
The table shows the results.
Number of telephones
0
1
2
5
6
3
4
7
8
Number of households
2
15
12
10
8
7
5
0
1
(a) Calculate the total number of telephones in these 60 households.
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Answer ..........................................................................
The Robert Smyth School
(2)
1

(b) Calculate the mean number of telephones per household.
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Answer ..........................................................................
(2)
(Total 4 marks)
3.
Phil counts the number of people in 50 cars that enter a car park.
His results are shown in the table.
Number of people
1
2
3
4 more than 4
Frequency
25
17
6
2
0
Calculate the mean number of people per car.
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Answer ............................................
(Total 3 marks)
4.
Chloe records the number of goals scored by her favourite football team in each of 40 matches.
Number of goals
0
1
2
3
4
5
Frequency
7
15
13
2
2
1
(a) Write down the mode of the number of goals scored.
Answer .........................................................................
(1)
The Robert Smyth School 2

(b) Calculate the mean number of goals scored per match.
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Answer .........................................................................
(3)
(Total 4 marks)
5.
Chloe records the number of goals scored by her favourite football team in each of 40 matches.
Number of goals
0
1
2
3
4
5
Frequency
7
15
13
2
2
1
Chloe’s father watched one of these matches on TV.
What is the probability that the team scored at least one goal in that match?
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Answer .........................................................................
(2)
(Total 2 marks)
The Robert Smyth School 3

6.
(a) The National Curriculum levels in Mathematics for 30 students in year 9 were recorded.
Level
3
4
7
8
5
6
Calculate the mean level.
Number of students
0
4
8
5
4
9
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Answer...............................................................................
(b) The 30 students study both French and Spanish.
Their National Curriculum levels in these subjects are shown in the two-way table.
Level in Spanish
1 2 3 4 5 6
Level 1 0 0 0 0 0 0 in 2 1 0 0 0 0 0
French 3 2 1 1 0 0 0
4 0 3 4 1 0 0
5 0 1 2 3 2 0
6 0 0 3 3 2 1
(i) What is the median level for French?
Show clearly how you obtained your answer.
(3)
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Answer...............................................................................
(ii) The teacher claims that the students are better at French than at Spanish. How can you tell from the table that this is true?
(2)
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(1)
(Total 6 marks)
The Robert Smyth School 4

1 .
fx M1 eg 1 × 50 seen (not 50 alone) or 2 × 80 or 160 or 50 × 50(p) etc
 fx (= “1000”)
Adding 'correct' 5 products
1000
£500

M1M1

M1M1
“1000” × 50p – £100
Not 335 × 50p – £100
= £400
M1 dep
M1dep
A1
2.
(a)
 fx eg 0 × 2 + 1 × 15 + 2 × 12... seen (or 0 + 15 + 24...) at least 3 products summed
= 174
(b) their total in (a)

60
Dep on first M1
Can be implied from correct ft ans
= 2.9
Accept 3 from correct working seen
M1
A1
M1 dep
A1
3.
(1 ×) 25 + 2 × 17 + 3 × 6 + 4 × 2
Attempt at
 fx at least 3 products summed seen eg 83 – 87
85 ÷ 50
Evidence of
 fx ÷ 50 eg 83 – 87 ÷ 50
= 1.7
Accept 2 from correct working
M1
M1 dep
A1
4.
(a) 1
(b) (0 × 7) + 1 × 15 + 2 × 13 + 3 × 2 + 4 × 2 + 5 × 1
Or 0 + 15 + 26 + 6 + 8 + 5
Attempt at
 fx or total 58 to 63 or 67
0 × 7 need not be included
“60” 
40
= 1.5
Ans only of 1.675 SC1
B1
M1
M1 dep
A1
[4]
[4]
[3]
[4]
The Robert Smyth School 5

5 .
15 + 13 + 2 + 2 + 1 or 40 – 7
33
=
40
6.
(a)
(3 × 0) + 4 × 4 +5 × 4 + 6 × 9+7 × 8 + 8 × 5
Their 186/30
6.2
(b) (i) 15 th
and 16 th
value in F5/S3 box
Accept cum.freq. as evidence of working
0,1, 5, 13, 21, (30)
(30 ÷ 6 = 5 is M0)
List 2333344444444555....
5
(ii) Most pupils in bottom section of table or
No pupils with higher grade in Spanish than in French oe No incorrect statements
M1
A1
M1
DM1
A1
M1
[2]
A1
B1
[6]
The Robert Smyth School 6