Exam (elaborations)
2022 A LEVEL MATHS MOCK SET 1 PURE 1 QP AND MS INCLUDED (MERGED)
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- MATHS PAPERS
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- PEARSON (PEARSON)
2022 A LEVEL MATHS MOCK SET 1 PURE 1 INCLUDES: QUESTION PAPERS AND M/S MERGED TOGETHER
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Please check the examination details below before entering your candidate informationCandidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Mock Paper Set 1
(Time: 2 hours) Paper Reference 9MA0/01
Mathematics
Advanced
Paper 1: Pure Mathematics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables, 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 pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of questions
are clearly labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers
without working may not gain full credit.
• Inexact
stated.
answers should be given to three significant figures unless otherwise
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 15 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
The marks each question are shown in brackets
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
S63448A
©2019 Pearson Education Ltd.
1/1/1/1/1/
*S63448A0148*
,1.
y
DO NOT WRITE IN THIS AREA
R
O 2 x
Figure 1
1 2
x
Figure 1 shows part of the curve with equation y = e 5 for x 0
DO NOT WRITE IN THIS AREA
The finite region R, shown shaded in Figure 1, is bounded by the curve, the y-axis,
the x-axis, and the line with equation x = 2
1 2
x
The table below shows corresponding values of x and y for y = e 5
x 0 0.5 1 1.5 2
y 1 e0.05 e0.2 e0.45 e0.8
(a) Use the trapezium rule, with all the values of y in the table, to find an estimate for the
area of R, giving your answer to 2 decimal places.
(3)
(b) Use your answer to part (a) to deduce an estimate for
∫
2 1 2
x
(i) (4 + e ) dx 5
DO NOT WRITE IN THIS AREA
0
∫
3 1
( x −1) 2
(ii) e5 dx
1
giving your answers to 2 decimal places.
(2)
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2
*S63448A0248*
, Question 1 continued
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(Total for Question 1 is 5 marks)
3
*S63448A0348* Turn over
, 2.
B
DO NOT WRITE IN THIS AREA
1.2 rad
A 7.5 cm O 8.5 cm C
Figure 2
The shape AOCBA, shown in Figure 2, consists of a sector AOB of a circle centre O
joined to a triangle BOC.
The points A, O and C lie on a straight line with AO = 7.5 cm and OC = 8.5 cm.
DO NOT WRITE IN THIS AREA
The size of angle AOB is 1.2 radians.
Find, in cm, the perimeter of the shape AOCBA, giving your answer to one decimal place.
(5)
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4
*S63448A0448*
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