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Materials required for examination Items included with question papersRuler graduated in centimetres and Nilmillimetres, protractor, compasses,pen, HB pencil, eraser, calculator.Tracing paper may be used.
Instructions to CandidatesIn the boxes above, write your centre number, candidate number, your surname, initial(s) and signature.The paper reference is shown at the top of this page. Check that you have the correct question paper.Answer ALL the questions in the spaces provided in this question paper.Show all the steps in any calculations.
Information for CandidatesThere are 20 pages in this question paper. All blank pages are indicated.The total mark for this paper is 100. The marks for parts of questions are shown in round brackets: e.g. (2).You may use a calculator.
Advice to CandidatesWrite your answers neatly and in good English.
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Signature: Mr.Demerdash
*N24646A0120*
Centre No.
Candidate No.
IGCSE MATHEMATICS 4400FORMULA SHEET – HGHER TIER
Specimen Papers and Mark Schemes – London Examinations IGCSE in Mathematics (4400) Publication code: UG01305438 Issue 1, July 2003
Pythagoras’Theorem
adj = hyp × cos θopp = hyp × sin θopp = adj × tan θ
or
opptanadj
θ =
adjcoshyp
θ =
oppsinhyp
θ =
Circumference of circle = 2π r
Area of circle = π r2
Area of a trapezium = (a + b)h12
b
a
opp
adj
hyp
b
a
h
lengthsectioncross
a2 + b2 = c2
Volume of prism = area of cross section × length
Volume of cylinder = π r2h
Curved surface area of cylinder = 2π rh
h
r
Volume of cone = πr2h
Curved surface area of cone = πrl
13
r
l
r
h
Volume of sphere = πr3
Surface area of sphere = 4πr2
43
r
In any triangle ABC
Sine rule
Cosine rule a2 = b2 + c2 – 2bc cos A
Area of triangle = ab sin C12
sin sin sina b c
A B C= =
C
ab
c BA
The Quadratic EquationThe solutions of ax2 + bx + c = 0where a ≠ 0, are given by
2( 4 )2
b b acxa
− ± −=
c
θ
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Turn over*N24646A0320*
Answer ALL TWENTY-THREE questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1. The surface area of the Earth is 510 million km2. The surface area of the Pacific Ocean is 180 million km2.
(a) Express 180 million as a percentage of 510 million. Give your answer correct to 2 significant figures.
...........................% (2)
The surface area of the Arctic Ocean is 14 million km2. The surface area of the Southern Ocean is 35 million km2.
(b) Find the ratio of the surface area of the Arctic Ocean to the surface area of the Southern Ocean.
Give your ratio in the form 1 : n.
1 : ........................... (2)
2. Solve 7 – 4x = 10
x = ...........................
Q1
(Total 4 marks)
Q2
(Total 3 marks)
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*N24646A0420*
3.
Describe fully the single transformation that maps triangle S onto triangle T.