Paper31 maths
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Thursday 19 June
reference9MA0/3
Pap
Afternoo
2025
n er
Mathematics 1
🟐 🟐
Advanced
PAPER 31: Statistics
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra
manipulation, differentiation and integration, or have retrievable
mathematical formulae stored in them.
Instructions
• Use black ink or ball-point
• IfFillpencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
in the boxes at the top of this page with your
• pen.
and candidate number.
Answer all questions and ensure that your answers to parts of
• provided – there
questions
name, are clearly labelled.
Answer the questions in the spaces
• than
may be more space
you need.
You should show sufficient working to make your methods
• Values
clear. Answers without working may not gain full credit.
from statistical tables should be quoted in full. If a calculator is used
• accuracy.
instead of tables the value should be given to an equivalent degree of
Inexact answers should be given to three significant figures unless otherwise stated.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 50. There are 6
• The marks for each question are shown in
questions. – use this as a guide as to how much time to spend
provided.
on each question.
brackets
Advic
• Read each question carefully before you start to answer it.
e
• Try to answer every
• Check your answers if you have time at the P75695A
question. ©202
5
end.
P
Paper31 maths
,earson Education Ltd.
Y:1/1/1/1/
Turn over
, 1. Bag A contains 5 red, 4 yellow and 3 green beads.
Bag B only contains red and yellow beads.
AREA
DO NOT WRITE IN THIS
A bead is selected at random from bag A and a second bead is selected at random from
bag B
3
that the probability that both beads selected are yellow is
Given 16
(a) (i) find the probability of selecting a yellow bead from bag B
(2)
(ii) Hence complete the tree diagram below by finding the probability on
each branch.
Bag A Bag B
.................... red
red
....................
.................... yellow
AREA
DO NOT WRITE IN THIS
.................... red
....................
yellow
.................... yellow
.................... red
....................
green
.................... yellow
(2)
(b) Find the exact probability that at least one of the two beads selected is yellow.
(3)
The event X is that at least one of the beads selected is yellow.
The event W is that a green bead is selected.
AREA
DO NOT WRITE IN THIS
(c) Find the exact value of P(W | X )
(2)
2
■■■
■
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Thursday 19 June
reference9MA0/3
Pap
Afternoo
2025
n er
Mathematics 1
🟐 🟐
Advanced
PAPER 31: Statistics
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra
manipulation, differentiation and integration, or have retrievable
mathematical formulae stored in them.
Instructions
• Use black ink or ball-point
• IfFillpencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
in the boxes at the top of this page with your
• pen.
and candidate number.
Answer all questions and ensure that your answers to parts of
• provided – there
questions
name, are clearly labelled.
Answer the questions in the spaces
• than
may be more space
you need.
You should show sufficient working to make your methods
• Values
clear. Answers without working may not gain full credit.
from statistical tables should be quoted in full. If a calculator is used
• accuracy.
instead of tables the value should be given to an equivalent degree of
Inexact answers should be given to three significant figures unless otherwise stated.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 50. There are 6
• The marks for each question are shown in
questions. – use this as a guide as to how much time to spend
provided.
on each question.
brackets
Advic
• Read each question carefully before you start to answer it.
e
• Try to answer every
• Check your answers if you have time at the P75695A
question. ©202
5
end.
P
Paper31 maths
,earson Education Ltd.
Y:1/1/1/1/
Turn over
, 1. Bag A contains 5 red, 4 yellow and 3 green beads.
Bag B only contains red and yellow beads.
AREA
DO NOT WRITE IN THIS
A bead is selected at random from bag A and a second bead is selected at random from
bag B
3
that the probability that both beads selected are yellow is
Given 16
(a) (i) find the probability of selecting a yellow bead from bag B
(2)
(ii) Hence complete the tree diagram below by finding the probability on
each branch.
Bag A Bag B
.................... red
red
....................
.................... yellow
AREA
DO NOT WRITE IN THIS
.................... red
....................
yellow
.................... yellow
.................... red
....................
green
.................... yellow
(2)
(b) Find the exact probability that at least one of the two beads selected is yellow.
(3)
The event X is that at least one of the beads selected is yellow.
The event W is that a green bead is selected.
AREA
DO NOT WRITE IN THIS
(c) Find the exact value of P(W | X )
(2)
2
■■■
■
