Applications of Mathematics...2 (a + b)h Volume of sphere = 4 3 U3 Volume of cone = 1 3 U2h Surface area of sphere = 4 U2 Curved surface area of cone = UO In any triangle ABC The Quadratic
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You must have: Ruler graduated in centimetres and millimetres, 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
– there may be more space than you need. Calculators may be used.
If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise.
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. Questions labelled with an asterisk (*) are ones where the quality of your
written communication will be assessed.
Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
Pearson
Edexcel GCSE
2
*P44579A0228*
GCSE Mathematics 2AM01
Formulae: Higher Tier
You must not write on this formulae page.Anything you write on this formulae page will gain NO credit.
Volume of prism = area of cross section × length Area of trapezium = 12
(a + b)h
Volume of sphere = 43
3 Volume of cone = 13
2h
Surface area of sphere = 4 2 Curved surface area of cone =
In any triangle ABC The Quadratic Equation The solutions of ax2 + bx + c = 0
where a 0, are given by
xb b ac
a=
− ± −( )2 42
Sine Rule aA
bB
cCsin sin sin
= =
Cosine Rule a2 = b2 + c2 – 2bc cos A
Area of triangle = 12
ab sin C
length
sectioncross
b
a
h
rl
r
h
C
ab
c BA
3
*P44579A0328* Turn over
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1 Here is a travel graph of Ryan’s cycle journey from his home to the shops.
Ryan was at the shops for 30 minutes. He then cycled back home without stopping. He got home at 12 00
(a) Complete the travel graph.(2)
(b) What was Ryan’s average speed on his way home?
7 An insurance company insured 10 000 small boats last year. A total of 150 insurance claims were made on these small boats last year. The company paid an average amount of £1200 on each insurance claim.
The company does not want to make a loss when it insures small boats.
What is the least amount of money the company should charge to insure each small boat?
18* The average fuel consumption (c) of a car, in kilometres per litre, is given by the formula
c df
=
where d is the distance travelled in kilometres and f is the fuel used in litres.
d = 190 correct to 3 significant figures. f = 25.7 correct to 1 decimal place.
By considering bounds, work out the value of c to a suitable degree of accuracy. You must show all of your working and give a reason for your final answer.
(Total for Question 18 is 5 marks)
21
*P44579A02128* Turn over
19 Mr Jones marks out the sports field for a discus competition.
PRS is an arc of a circle centre O with radius 40 m. PS is a chord of the circle. OPS is an equilateral triangle.
Calculate the area of the shaded segment. Give your answer correct to 3 significant figures.
20 A car accelerates from 0 metres per second to 60 metres per second in 20 seconds. It then travels at a constant speed of 60 metres per second for 30 seconds.
The speed-time graph shows this information.
Work out an estimate for the distance the car travelled in these 50 seconds.