Mathematics Paper 2 (Calculator) Higher Tier Solutions
Please check the examination details below before entering your candidate information
Candidate surname
Other names
Centre Number
Pearson Edexcel Level 1/Level 2 GCSE (9?1)
Candidate Number
Thursday 8 November 2018
Morning (Time: 1 hour 30 minutes)
Mathematics
Paper 2 (Calculator) Higher Tier
Paper Reference 1MA1/2H
Solutions
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Total Marks
Instructions
?? Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name,
?? centre number and candidate number. Answer all questions. Answer the questions in the spaces provided
???? ? there may be more space than you need. You must show all your working. Diagrams are NOT accurately drawn, unless otherwise indicated. Calculators may be used. If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise.
Information
?? The total mark for this paper is 80 The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question.
Advice
???? Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
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P55588A
?2018 Pearson Education Ltd.
6/7/7/7/7/1/
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working. 1 E = {even numbers between 1 and 25}
A = {2, 8, 10, 14} B = {6, 8, 20} C = {8, 18, 20, 22}
(a) Complete the Venn diagram for this information.
E
A2
14
10
B
6
8
16
20
22
C
18
4
12 24
(4) A number is chosen at random from E. (b) Find the probability that the number is a member of A B.
.......................................................
(2)
(Total for Question 1 is 6 marks)
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2
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2 Sean has information about the height, in cm, and the weight, in kg, of each of ten rugby players. He is asked to draw a scatter graph and a line of best fit for this information. Here is his answer.
105
100
Weight (kg) 95
90
85
140
160
170
180
190
200
Height (cm)
Sean has plotted the points accurately.
Write down two things that are wrong with his answer.
1 Horizontal scale not linear 150 missing .............................................................................................................................................................................................................................................
..................................................................................................................................................................................................................................................
2 Line of best fit unsuitable Should be in a position ............................................................................................................................................................................................................................................. similar to blue line drawn ..................................................................................................................................................................................................................................................
(Total for Question 2 is 2 marks)
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3
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3 BEG is a triangle. A
B
C
35?
xG
as 110?
25?
D
E
ABC and DEF are parallel lines.
Work out the size of angle x. Give a reason for each stage of your working.
BEG 450
a BE 750
s on str line add
alternate s equal
x 180
K I 180
x Goo
751 45
120
C L sum of o
F
to 1800
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?
.......................................................
(Total for Question 3 is 4 marks)
4
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4 Northern Bank has two types of account. Both accounts pay compound interest.
Cash savings account Interest
2.5% per annum
Shares account Interest
3.5% per annum
Ali invests ?2000 in the cash savings account. Ben invests ?1600 in the shares account.
(a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Ali
2000 X 1.025
2153.78
1 153.78
interest
Ben 1600 1.0353
1773.94
1 173.94
interest
SoBengetsmost interest
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(4)
In the 3rd year the rate of interest for the shares account is changed to 4% per annum.
(b) Does this affect who will get the most interest by the end of 3 years? Give a reason for your answer.
No Ben already receives the most Raising his ..................................................................................................................................................................................................................................................
interest from 3.5 to 4 will give him even ..................................................................................................................................................................................................................................................
more interest .................................................................................................................................................................................................................................................. (1)
(Total for Question 4 is 5 marks)
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5
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