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lOMoAR cPSD| 56342273
Mathematical Formulae and Statistical Tables (Green), 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 If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).Fill in
the boxescentre number and candidate number.black ink or ball-point pen. at the top of this
page with your name,
• clearly labelled.Answer all questions and ensure that your answers to parts of questions
are
• 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.
, lOMoAR cPSD| 56342273
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.There are 15 questions
in this question paper. The total mark for this paper is 100.The marks for – use this as a guide as to how
much time to spend on each questioneach question are shown in brackets .
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
P75694A ©2024 Pearson Education Ltd. *P75694A0148*
F:1/1/1/1/1/
1. y 4x3 7x2 5x 10
(a) Find in simplest
form dy
(i) dx d2y
(ii) dx2
(3)
d2y (b)
Hence find the exact value of x when 2 = 0 dx
(2)
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*P75694A0248*
Question 1 continued
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(Total for Question 1 is 5 marks)
*P75694A0348*
2. Jamie takes out an interest‑free loan of £8100
Jamie makes a payment every month to pay back the loan.
Jamie repays £400 in month 1, £390 in month 2, £380 in month 3, and so on, so that the
amounts repaid each month form an arithmetic sequence.
(a) Show that Jamie repays £290 in month 12
(1)
After Jamie’s Nth payment, the loan is completely paid back.
(b) Show that N 2 – 81N + 1620 = 0
(2)
(c) Hence find the value of N.
(2)
4
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