PAPER 3 (Calculator) Higher Tier (1MA1/3H)
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Morning (Time: 1 hour 30 minutes) Paper
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PAPER 3 (Calculator)
Higher Tier
Instructions
• Use black
If pencil is ink
usedorfor ball-point pen.
diagrams/sketches/graphs it must be dark (HB or B).
• Fciellnintrethneubmobxeersaantdtchaentdoipdaotfethniusmpabgeer.with your name,
Answer a thlleqquueestsitoio
nsn.s in the spaces provided
• – there may be more space than you need.
•• You
Diagrams must areshow NOT allaccurately
your working.
drawn, unless otherwise indicated.
ICf ay locuurl ac taol rcsu lma taoyr bdoeeus sneodt. have a π button, take the value of π 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.
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P76407A
©2025 Pearson Education Ltd.
Y:1/1/1/1/
, Answer ALL questions.
Write your answers in the spaces provided.
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You must write down all the stages in your working.
1 The table shows information about the distances that 60 people travel to work.
Distance (d miles) Frequency
0 < d 10 12
10 < d 20 25
20 < d 30 10
30 < d 40 8
40 < d 50 5
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Draw a frequency polygon for the information in the table.
30
20
Frequency
10
0
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0 10 20 30 40 50
Distance (d miles)
(Total for Question 1 is 2 marks)
2
,
m
2 Ben is trying to make m the subject of p = +5
3
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Here is his working.
m
p–5=
3
3p–5=m
m = 3p – 5
Ben’s answer is wrong.
(a) What mistake has Ben made?
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(1)
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(b) Factorise fully 2x3y + 4xy2
....................................................................
(2)
(Total for Question 2 is 3 marks)
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3
Turn over
, 3 Mia pays £25 for 200 oranges.
Mia puts the oranges into bags.
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She puts 5 oranges into each bag.
Mia sells all the bags of oranges for £1 each bag.
Work out Mia’s percentage profit.
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. ........................................................................... %
(Total for Question 3 is 3 marks)
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4