# Jan 2011

Topics: Volume, Triangle, Law of cosines Pages: 13 (873 words) Published: March 20, 2013
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Centre Number

Candidate Number

Edexcel IGCSE

Mathematics A
Paper 3H
Higher Tier
Monday 6 June 2011 – Afternoon
Time: 2 hours

Paper Reference

4MA0/3H

You must have:

Total Marks

Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Instructions

se b
ink or
• Uill inlack boxesball-point pen. page with your name,
a the top of this
• F the andt candidate number.
centre number
• Without sufficient working, correct answers may be awarded no marks. • Answer the questions in the spaces provided
• – there may be more space than you need.
alculators may be used.
• Cou must NOT write anything on the formulae page.
Y
• Anything you write on the formulae page will gain NO credit.

Information

he total
paper
• The marksmarkefor thisuestion is 100. in brackets
T
ach q
are shown
• – use this asforguide as to how much time to spend on each question. a

R
start to

Turn over

P38579A

6/6/6/6/6/4/3

*P38579A0124*

IGCSE MATHEMATICS 4400
IGCSE MATHEMATICS
FORMULAE SHEET – HIGHER TIER
Pythagoras’
Theorem
c

Volume of cone =

r 2h

r3

Surface area of sphere = 4 r2
r

l

a
a2 + b2 = c2

4
3

Volume of sphere =

Curved surface area of cone = rl

b

hyp

1
3

h
r

opp

opp = hyp sin

sin

hyp

tan

or

C

opp
hyp

cos

In any triangle ABC

opp

b

a

A

B

c
a
sin A

Sine rule:

b
sin B

c
sin C

Cosine rule: a2 = b2 + c2 – 2bc cos A
Area of triangle =

1
2

ab sin C

cross
section
lengt

h

Volume of prism = area of cross section

length
Area of a trapezium =

r

1
2

(a + b)h

a

Circumference of circle = 2 r
Area of circle = r2

h
b

r
Volume of cylinder = r h
2

h

Curved surface area
of cylinder = 2 rh

2

The solutions of ax2 + bx + c = 0,
where a 0, are given by
x

b

b 2 4ac
2a

*P38579A0224*

You must write down all the stages in your working.
1 (a) Use your calculator to work out the value of

Write down all the figures on your calculator display.

....................................................................................... . . . . . . . . . . . . . . . . . . .

(2)
(b) Give your answer to part (a) correct to 3 significant figures.

.............................................. . . . . . . . . . . . . . . . . . . .

(1)
(Total for Question 1 is 3 marks)

*P38579A0324*

3

Turn over

2
Diagram NOT
accurately drawn

127°
84°

114°

97°
Four of the angles of a pentagon are 97°, 114°, 127° and 84°. Work out the size of the fifth angle.

. .............................. . . . . . . . . . . . . . . .

(Total for Question 2 is 4 marks)

4

*P38579A0424*

°

3 (a) Factorise w2

9w.

............................... . . . . . . . . . . . . . . . . . .

(2)
(b) Solve 5x

1 = 2x

7

x = . ........................... . . . . . . . . . . . . . . . . . . . (3)
(c) Expand and simplify (y

7)(y + 3).

. .......................... . . . . . . . . . . . . . . . . . . .

(2)
(Total for Question 3 is 7 marks)

*P38579A0524*

5

Turn over

4 Every morning, Samath has one glass of fruit juice with his breakfast. He chooses at random orange juice or pineapple juice or mango juice. The probability that he chooses orange juice is 0.6
The probability that he chooses pineapple juice is 0.3
(a) Work out the probability that he chooses mango juice.

................. . . . . . . . . . . . . . . . . . .

(2)
(b) There are 30 days in April....