Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) Mathematics
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Pearson Edexcel
Centre Number
Level 1/Level 2 GCSE (9 - 1)
Candidate Number
Mathematics
Paper 3 (Calculator)
Solutions
Mock Set 1 ? Autumn 2016 Time: 1 hour 30 minutes
Higher Tier
Paper Reference
1MA1/3H
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. 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. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out.
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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S52628A
?2016 Pearson Education Ltd.
6/6/7/
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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 Buses to Ashby leave a bus station every 24 minutes. Buses to Barford leave the same bus station every 20 minutes.
A bus to Ashby and a bus to Barford both leave the bus station at 7 30 am.
When will a bus to Ashby and a bus to Barford next leave the bus station at the same time?
2124 2121
211 2 11
211
311
515 I
24
20
LCM
2 22 3
22 5
2x 2 2 3 5
120 min
So 2 hrs later
9.30am . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 3 marks)
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2
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2 Amzol thinks that (x + 5)2 = x2 + 25 for all values of x.
Is Amzol right? You must show how you get your answer.
No
1 55 36
12 25 26
or at 5 sets
X't 10 25
1 21 25
(Total for Question 2 is 2 marks)
3 Kim, Laura and Molly share ?385
The ratio of the amount of money Kim gets to the amount of money Molly gets is 2 : 5 Kim gets ?105 less than Molly gets.
What percentage of the ?385 does Laura get?
Kim 2 shares
Molly 5 shares
so 3 shares
105
share
13052
35
Kim and Molly receive 7 1 35
Laura receives 385 245
1245
140
140 100
385
o
36.4 0
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36.4 % .......................................................
(Total for Question 3 is 4 marks)
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3
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4 The table shows information about the heights of 60 trees.
Height (h metres) 0 < h - 4 4 < h - 8 8 < h - 12 12 < h - 16 16 < h - 20
Frequency 13 24 15 6 2
Jacob drew this frequency polygon for the information in the table. The frequency polygon is not correct.
30
20 Frequency
10
0
0
4
8
12
16
20
Height (h metres)
Write down two things that are wrong with the frequency polygon.
Point should be plotted at midpoints of intervals 1 ..............................................................................................................................................................................................................................................
Points should be joined with straight line segments 2 ..............................................................................................................................................................................................................................................
(Total for Question 4 is 2 marks)
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4
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5 The price of all rail tickets increased by 5 %. The price of a rail ticket from London to Ipswich increased by ?2.30
Work out the price of the ticket before the increase.
2.30
5
4.60
to
46
100
? 46 .......................................................
(Total for Question 5 is 2 marks)
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5
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6 B
C
A
F
D
E
ABCDE is a regular pentagon. BCF and EDF are straight lines.
Work out the size of angle CFD. You must show how you get your answer.
Def
CFD
CDF 720
exterior angle
of regular pentagon
360 5
180 180
360
721 72
144
Angle sum of o 36 ? .......................................................
(Total for Question 6 is 3 marks)
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6
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7 A garden is in the shape of a rectangle, ABCD, and a semicircle. AD is the diameter of the semicircle.
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A
4.2in D
5.6 m
B
8.4 m
C
Carol is going to cover the garden with fertiliser.
A box of fertiliser costs ?4.99 Carol has been told that one box of fertiliser will cover 12 m2 of garden.
(a) Work out the cost of buying enough fertiliser to cover the garden completely.
Area
2 t 8.4 5.6
74.75 m2
74.75
12
6.23 boxes
So buy 7 boxes
7 14.99
134.93
? 34.93 .......................................................
(5) Carol finds out that one box of fertiliser will cover more than 12 m2 of garden. (b) Explain how this might affect the number of boxes she needs to buy.
May need to buy less boxes ...................................................................................................................................................................................................................................................
...................................................................................................................................................................................................................................................
(1)
(Total for Question 7 is 6 marks)
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7
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8 Sameena has a round pencil case and a square pencil case.
There are 4 blue pens and 3 red pens in the round pencil case. There are 3 blue pens and 5 red pens in the square pencil case.
Sameena takes at random one pen out of each pencil case.
(a) Complete the probability tree diagram.
round pencil case
3
8 . . . . . . . . . . . . . . . . . . . .
square pencil case blue
4
blue
....................
75
....................
8
red
....................
7
83 red
3
....................
blue
....................
red
(2)
(b) Work out the probability that the pens Sameena takes are both red.
P Both Red
I xgI
6
1556
.......................................................
(2)
(Total for Question 8 is 4 marks)
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8
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