Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) Mathematics
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Pearson Edexcel
Level 1/Level 2 GCSE (9 - 1)
Mathematics
Paper 3 (Calculator)
Mock Set 3 ? Autumn 2017
Time: 1 hour 30 minutes
Higher Tier
Paper Reference
1MA1/3H
You must have: Ruler graduated in centimetres and millimetres, Total Marks
protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Tracing paper may be used.
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.
Turn over
S57496A
?2017 Pearson Education Ltd.
6/7/2/2/4/
*S57496A0124*
Answer ALL questions.
DO NOT WRITE IN THIS AREA
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 (a) Write 168 as a product of its prime factors.
You must show your working.
2116821842
3121168
711
I
2 2 2 37
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168
23 3 7 .......................................................
(3)
(b) Find the highest common factor (HCF) of 168 and 180
2181
2191
314 5
180
168
200002
2x 2
320330
5 7
345
51,1
Hct 2 2 3 12
12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
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(Total for Question 1 is 5 marks)
2
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2 Eric and Geraldine both drove from town A to town B.
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route 1
36.4 miles
town B
town A
route 2 65.2 miles
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Both Eric and Geraldine left town A at 2 pm.
Eric 36.4 miles in 28L hr
Go
Eric drove on route 1
He got to town B at 2 48 pm.
Auge speed 36.4 4860
Geraldine drove on route 2
She got to town B at 3 25 pm.
Who drove at the greater average speed?
36.4 6480
45.5mph
You must show all your working.
Geraldine 65.2 miles in 85g hrs
60
Auge Speed 65.2 8560
65.2 60
Fg
46.0 mph
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46.0 745.5
so Geraldine had the greater average speed
(Total for Question 2 is 3 marks)
*S57496A0324*
3
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3 Here is an accurate scale drawing of a school playground.
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A
B
2cm
2cm
D
C
1 cm represents 2 m
4 5cm
Nasim is going to put a seat in the playground.
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The seat has to be
less than 9 m from C closer to BC than to AB more than 4 m from AB
are on C radius 4.5cm
Angle bisector of ABC line parallel to AB 2cm from it
Show, by shading on the diagram, the region where Nasim can put the seat.
(Total for Question 3 is 4 marks)
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4
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4 There are only red counters, blue counters and green counters in a bag.
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number of red counters : number of blue counters : number of green counters = 1 : 3 : 7
A counter is going to be taken at random from the bag.
(a) Complete the table below to show each of the probabilities that the counter will be
red or blue or green.
Colour
red
blue
green
Probability
ti
t
7
(2)
Jamie takes at random a counter from the bag and records the colour of the counter.
He then puts the counter back in the bag.
Jamie does this a number of times.
He records a total of 68 blue counters.
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(b) Work out an estimate for the total number of times Jamie takes a counter from the bag.
68 E 3g of total
68 1
total
3
249.3
total
Estimate
249
.......................................................
(2)
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(Total for Question 4 is 4 marks)
*S57496A0524*
5
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