For Examiner’s Use
Candidate Number
Surname
Other Names
Examiner’s Initials
Candidate Signature
Pages
General Certificate of Secondary Education
Higher Tier
November 2010
Mark
2–3
4–5
6–7
Mathematics
43601H
10 – 11
Unit 1
Tuesday 9 November 2010
9.00 am to 10.00 am
For this paper you must have: l H
12
TOTAL
a calculator
l
8–9
mathematical instruments.
Time allowed l 1 hour
Instructions
l Use black ink or black ball-point pen. Draw diagrams in pencil. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. l Do all rough work in this book.
Information
l The marks for questions are shown in brackets. l The maximum mark for this paper is 54. l The quality of your written communication is specifically assessed in questions 1 and 4. These questions are indicated with an asterisk (*) l You may ask for more answer paper and graph paper. These must be tagged securely to this answer booklet.
Advice
l In all calculations, show clearly how you work out your answer.
(NOV1043601H01)
WMP/Nov10/43601H
43601H
Do not write outside the box 2
Answer all questions in the spaces provided.
1*
In a game, players try to win a coloured counter.
There are six possible colours.
The table shows the probability of winning each colour.
Colour of Counter
Yellow
0.04
Green
0.07
Brown
0.09
Blue
0.10
Pink
0.13
Black
1 (a)
Probability
0.14
Which colour is twice as likely to be won as green?
............................................................................................................................................
Answer .......................................................................
1 (b)
(1 mark)
Work out the probability of winning yellow or brown.
............................................................................................................................................
Answer .......................................................................
1 (c)
(2 marks)
Tariq plays the game 160 times.
Estimate the number of times that he does not win.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer .......................................................................
(02)
(4 marks)
WMP/Nov10/43601H
Do not write outside the box 3
2
A company makes 400 Christmas toys.
Each toy costs £4.70 to make.
One-quarter of the toys are given away to a children’s home.
Three-fifths of the rest are sold for the full price of £12.
The remainder are sold at half price.
How much profit does the company make?
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer £ ....................................................................
(5 marks)
Turn over for the next question
12
Turn over
(03)
WMP/Nov10/43601H
Do not write outside the box 4
3
Freddie and Priya both like music.
Freddie gives some songs a score out of 10.
The scatter diagram shows his results.
10
9
8
7
6
Score
5
4
3
2
1
0
0
3 (a)
1
2
4
6
3
5
7
Length of song (minutes)
8
9
10
How long is the song that is given a score of 4?
Give your answer in minutes and seconds.
............................................................................................................................................
Answer ......................... minutes .................... seconds
3 (b)
(2 marks)
Freddie has this hypothesis.
He says, "The shorter the song the more I like it".
Comment on his hypothesis.
............................................................................................................................................
............................................................................................................................................
(1 mark)
3 (c)
Use a line of best fit to estimate the score Freddie may give to a song of 7 minutes length. Answer .......................................................................
(04)
(2 marks)
WMP/Nov10/43601H
Do not write outside the box 5
3 (d)
Priya also gives some songs a score out of 10.
She has a different hypothesis.
She says "The longer the song the more I like it."
Her hypothesis is strongly supported by the data she collects.
Plot points on the grid to show how the scatter diagram may look.
10
9
8
7
6
Score
5
4
3
2
1
0
0
1
2
4
6
3
5
7
Length of song (minutes)
8
9
10
(1 mark)
6
Turn over
(05)
WMP/Nov10/43601H
Do not write outside the box 6
4*
This poster is put up in a school dinner hall.
Coming soon
New Healthy Eating menu
The headteacher thinks the number of students who eat school dinners will increase by 25%.
4 (a)
Design an observation sheet the headteacher can use to see if she is right.
(2 marks)
4 (b)
The number of students who eat school dinners increases from 78 to 91.
Is the headteacher correct?
Show clearly how you decide.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
(3 marks)
(06)
WMP/Nov10/43601H
Do not write outside the box 7
4 (c)
The headteacher carries out a survey to see if students enjoy the ‘Healthy Eating’ menu. Write down a question she could ask.
Include a response section.
Question .............................................................................................................................
............................................................................................................................................
Response Section
(2 marks)
5
Peter and Alice buy a set of golf clubs for their mother.
They pay in the ratio 4 : 3
Peter pays £224.
How much does Alice pay?
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer £ ....................................................................
(3 marks)
10
Turn over
(07)
WMP/Nov10/43601H
Do not write outside the box 8
6
A teacher asks 40 boys to solve a problem.
She records the time taken only if a correct answer is given.
The times are shown.
Key
1
2
4
4
6
7
1
1
1
3
3
7
7
3
3
4
4
8
9
4
2
7
5
9 represents 59 seconds
9
2
6 (a)
0
5
9
8
8
Show that the percentage of boys who give a correct answer is 60%.
............................................................................................................................................
............................................................................................................................................
(2 marks)
6 (b)
40 girls are given the same problem.
20 of the girls give a correct answer.
Information about the times taken by girls who give a correct answer is shown.
Time, t seconds
Frequency
10
t
20
3
20
t
30
6
30
t
40
7
40
t
50
4
Compare these times with the times taken by the boys who give correct answers.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
(5 marks)
(08)
WMP/Nov10/43601H
Do not write outside the box 9
7 (a)
What is meant by a stratified sample?
............................................................................................................................................
............................................................................................................................................
(1 mark)
7 (b)
A college has part-time and full-time students as shown.
Type
Part-time
Full-time
Number of students
3420
4680
Sabine carries out a survey of the students.
She uses a sample of 90 students, stratified by type.
Work out the number of part-time students in her sample.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
8
(2 marks)
Here are seven cards.
Each card has a number on it.
For the numbers, the lower quartile is equal to the upper quartile.
8 (a)
What does this tell you, if anything, about the value of the median?
............................................................................................................................................
(1 mark)
8 (b)
What does this tell you, if anything, about the value of the mode?
............................................................................................................................................
(1 mark)
8 (c)
What does this tell you, if anything, about the value of the mean?
............................................................................................................................................
(1 mark)
Turn over
(09)
WMP/Nov10/43601H
13
Do not write outside the box 10
9
The table shows a summary of the marks scored by 120 people in a test.
Mark
Frequency
0
20
8
20
mark
40
12
40
mark
60
46
60
mark
80
35
80
9 (a)
mark
mark
100
19
Three-quarters of the people pass the test.
Use a cumulative frequency graph to estimate the pass mark.
120
110
100
90
80
Cumulative frequency 70
60
50
40
30
20
10
0
0
10
20
30
40
50
60
70
80
90
100
Mark
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(10)
(5 marks)
WMP/Nov10/43601H
Do not write outside the box 11
9 (b)
Here is the table again.
Mark
Frequency
0
mark
20
8
20
mark
40
12
40
mark
60
46
60
mark
80
35
80
mark
100
19
Two of these 120 people are chosen at random.
9 (b) (i)
Work out the probability that both scored over 60.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(2 marks)
9 (b) (ii) Work out the probability that one scored over 80 and the other scored 80 or under.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(3 marks)
Turn over for the next question
10
Turn over
(11)
WMP/Nov10/43601H
12
10
In human blood, the ratio of white blood cells to red blood cells is 1 : 700 where 700 is given to the nearest 100.
A man has 3 x 10
13
red blood cells to one significant figure.
Calculate the minimum number of white blood cells in this man’s blood.
Give your answer in standard form.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
Answer ......................................................................
(3 marks)
END OF QUESTIONS
3
Copyright © 2010 AQA and its licensors. All rights reserved.
(12)
WMP/Nov10/43601H
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