```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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(Total 4 marks)
2.
A telephone company collected data about the number of telephones in each of 60 households.
The table shows the results.
(a)
Number of
telephones
Number of
households
0
2
1
15
2
12
3
10
4
8
5
7
6
5
7
0
8
1
Calculate the total number of telephones in these 60 households.
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(2)
The Robert Smyth School
1
(b)
Calculate the mean number of telephones per household.
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(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
Frequency
1
25
2
17
3
6
4
2
more than 4
0
Calculate the mean number of people per car.
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(Total 3 marks)
4.
Chloe records the number of goals scored by her favourite football team in each of 40 matches.
Number of goals
Frequency
0
7
1
15
2
13
3
2
4
2
5
1
(a)
Write down the mode of the number of goals scored.
(1)
The Robert Smyth School
2
(b)
Calculate the mean number of goals scored per match.
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(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
Frequency
0
7
1
15
2
13
3
2
4
2
5
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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(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
Number of students
3
0
4
4
5
4
6
9
7
8
8
5
Calculate the mean level.
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(3)
(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
(i)
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
What is the median level for French?
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(2)
(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?
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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”)
M1 dep
1000 
M1M1
£500 
M1M1
“1000” × 50p – £100
Not 335 × 50p – £100
M1dep
= £400
A1
[4]
2.
(a)
 fx
M1
eg 0 × 2 + 1 × 15 + 2 × 12... seen (or 0 + 15 + 24...)
at least 3 products summed
= 174
(b)
A1
their total in (a)  60
Dep on first M1
Can be implied from correct ft ans
= 2.9
M1 dep
A1
Accept 3 from correct working seen
[4]
3.
(1 ×) 25 + 2 × 17 + 3 × 6 + 4 × 2
Attempt at fx at least 3 products summed seen eg 83 – 87
85 ÷ 50
M1
M1 dep
Evidence of fx ÷ 50
eg 83 – 87 ÷ 50
= 1.7
A1
Accept 2 from correct working
[3]
4.
(a)
1
B1
(b)
(0 × 7) + 1 × 15 + 2 × 13 + 3 × 2 + 4 × 2 + 5 × 1
M1
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
M1 dep
= 1.5
A1
Ans only of 1.675
SC1
[4]
The Robert Smyth School
5
5.
15 + 13 + 2 + 2 + 1 or 40 – 7
=
33
40
M1
A1
[2]
6.
(a)
(3 × 0) + 4 × 4 +5 × 4 + 6 × 9+7 × 8 + 8 × 5
Their 186/30
6.2
M1
DM1
A1
(b)
(i)
15th and 16th 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....
M1
5
A1
Most pupils in bottom section of table or
No pupils with higher grade in Spanish than in French
oe No incorrect statements
B1
(ii)
[6]
The Robert Smyth School
6
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