Pearson Edexcel International GCSE Mathematics B PAPER 2 QP JUNE 2024
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Centre Number Candidate Number
Pearson Edexcel International GCSE
Monday 10 June 2024
Morning (Time: 2 hours 30 minutes) Paper
reference 4MB1/02
Mathematics B 🞍 🞍
PAPER 2
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
• Calculators may be used.
– there may be more space than you need.
Information
•• The total mark for this paper is 100.
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.
• Check your answers if you have time at the end.
• Without sufficient working, correct answers may be awarded no marks.
DO NOT WRITE IN THIS AREA
You must write down all the stages in your working.
1 (a) Write 0.000 015 96 in standard form.
(1)
The star, Sirius, is approximately 81 460 000 000 000 km from Earth.
Light from Sirius takes approximately 3142.7 days to reach Earth.
(b) Calculate the speed, in km/s to one significant figure, that light travels
from Sirius to Earth.
Give your answer in standard form.
Show your working clearly.
(4)
The diagram shows triangle ABC
Using ruler and compasses only and showing all your construction lines, construct
(a) the locus of the points that are 3 cm from B
(1)
(b) the perpendicular bisector of AC
(2)
(c) the bisector of ACB
(2)
DO NOT WRITE IN THIS AREA
The region R consists of all the points inside the triangle that are closer to A than to C,
closer to BC than to AC and more than 3 cm from B
(d) Show, by shading, the region R
Label the region R
(1)
(Total for Question 2 is 6 marks)
3
🞍🞍🞍🞍 Turn over
, 3 A college offers courses in Astronomy (A), Biology (B), Chemistry (C) and Physics (D)
A group of 220 students are asked which of these courses they study.
DO NOT WRITE IN THIS AREA
Here is some information about the numbers of students who study these subjects.
n A 58 n B C D x n B D 48
n B C D' 35
n B C D 20
The incomplete Venn diagram on the opposite page shows some other information about
the numbers of students who study these subjects.
(a) Using all the information given, complete the Venn diagram giving the number of
elements in each appropriate subset, in terms of x where necessary.
(3)
Given that nC' 105
(b) find the value of x
(2)
DO NOT WRITE IN THIS AREA
One of the 220 students is chosen at random.
(c) Write down the probability that this student studies Biology only.
(1)
(d) Write down the probability that this student studies Chemistry but not Biology.
(1)
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