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June 2025 Pearson Edexcel: GCSE (9–1) Mathematics IMAI/3H – Paper 3 (Calculator) – Higher Tier – Merged Question Paper & Mark Scheme

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June 2025 Pearson Edexcel: GCSE (9–1) Mathematics IMAI/3H – Paper 3 (Calculator) – Higher Tier – Merged Question Paper & Mark Scheme Answer ALL questions. Write your answers in the spaces provided. 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 Draw a frequency polygon for the information in the table. 30 20 Frequency 10 0 50 Distance (d miles) (Total for Question 1 is 2 marks) 2 ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2 Ben is trying to make m the subject of p = m + 5 3 Here is his working. m p – 5 = 3 3  p – 5 = m m = 3 p – 5 Ben’s answer is wrong. (a) What mistake has Ben made? ............................................................................................................................. ..................................................................................................................... .................................................................................................................................. ................................................................................................................ ....................................................................................................................................... ........................................................................................................... (1) (b) Factorise fully 2x 3 y + 4xy2 ■■■■ .................................................................... (2) (Total for Question 2 is 3 marks) 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 3 Mia pays £25 for 200 oranges. Mia puts the oranges into bags. She puts 5 oranges into each bag. Mia sells all the bags of oranges for £1 each bag. Work out Mia’s percentage profit. 4 .........................................................................% (Total for Question 3 is 3 marks) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 4 In London, 2 kg of carrots cost £3.75 In New York, 5lbs of carrots cost 4.90 US dollars. £1 = 1.20 US dollars 1 kg = 2.2 lbs In which city are carrots better value for money, London or New York? You must show how you get your answer. (Total for Question 4 is 4 marks)

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June 2025 Pearson Edexcel: GCSE Mathematics
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June 2025 Pearson Edexcel: GCSE Mathematics
Course
June 2025 Pearson Edexcel: GCSE Mathematics

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Uploaded on
October 4, 2025
Number of pages
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Written in
2025/2026
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June 2025 Pearson Edexcel: GCSE (9–1)
Number Number Mathematics IMAI/3H – Paper 3 (Calculator)
– Higher Tier – Merged Question Paper &
Mark Scheme




Morning (Time: 1 hour 30 minutes)


Mathematics
🟐 🟐


PAPER 3 (Calculator)
Higher Tier




Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxesand
number at the top of this
candidate page with your name,
number.

•• Answer
Answer all
thequestions.
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 does
If your calculator be used.
not 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.




DO NOT WRITE IN THIS AREA
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




DO NOT WRITE IN THIS AREA
Draw a frequency polygon for the information in the table.


30



20

Frequency

10



0
DO NOT WRITE IN THIS AREA
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
DO NOT WRITE IN THIS AREA




Here is his working.
m
p–5=
3
3p–5=m
m = 3p – 5

Ben’s answer is wrong.

(a) What mistake has Ben made?

............................................................................................................................. .....................................................................................................................



.................................................................................................................................. ................................................................................................................



....................................................................................................................................... ...........................................................................................................

(1)
DO NOT WRITE IN THIS AREA




(b) Factorise fully 2x3y + 4xy2




....................................................................

(2)

(Total for Question 2 is 3 marks)
DO NOT WRITE IN THIS AREA




3

■■■■ Turn over

, 3 Mia pays £25 for 200 oranges.

Mia puts the oranges into bags.




DO NOT WRITE IN THIS AREA
She puts 5 oranges into each bag.

Mia sells all the bags of oranges for £1 each bag.

Work out Mia’s percentage profit.




DO NOT WRITE IN THIS AREA
. ........................................................................ %

(Total for Question 3 is 3 marks)




DO NOT WRITE IN THIS AREA




4

■■■■

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