2 *P59017A0228* - Save My Exams

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International GCSE Mathematics Formulae sheet ? Higher Tier

Arithmetic series

Sum to n terms, Sn =

n 2

[2a + (n ? 1)d]

The quadratic equation

The solutions of ax2 + bx + c = 0 where a ? 0 are given by:

x = -b ? b2 - 4ac 2a

Trigonometry C

b

a

A

c

B

Area of trapezium = 1 (a + b)h 2

a

h

b In any triangle ABC Sine Rule a = b = c

sin A sin B sin C Cosine Rule a2 = b2 + c2 ? 2bc cos A Area of triangle = 1 ab sin C

2

Volume of cone = 1 r2h 3

Curved surface area of cone = rl

Volume of prism = area of cross section ? length

l h

r Volume of cylinder = r2h Curved surface area of cylinder = 2rh

r

h

cross section

length

Volume of sphere = 4 r3 3

Surface area of sphere = 4r2

r

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2

*P59017A0228*

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Answer ALL TWENTY ONE questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 (a) Factorise fully 4p + 6pq

(2) (b) Expand and simplify (e + 3)(e ? 5)

(2) (c) Solve y = 2 y + 1

5 Show clear algebraic working.

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y = (3)

(Total for Question 1 is 7 marks)

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3

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2

y

10

A 8

6

B 4

2

?4

?2

O

2

4

6

8

x

(a) Describe fully the single transformation that maps triangle A onto triangle B.

(3)

(b) On the grid, translate triangle A by the vector

2 -5

Label the new triangle C. (1)

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4

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4 The table gives information about the price of gold.

Price of one ounce of gold (dollars)

1st February 2016 1126.50

1st March 2016 1236.50

(a) Work out the percentage increase in the price of gold between 1st February 2016 and 1st March 2016

Give your answer correct to 3 significant figures.

The price of one ounce of gold on 1st February 2016 was 1126.50 dollars. The price of gold increased by 19% from 1st February 2016 to 1st July 2016

(b) Work out the price of one ounce of gold on 1st July 2016 Give your answer correct to the nearest dollar.

% (3)

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dollars (3)

(Total for Question 4 is 6 marks)

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7

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5

D C

(30x ? 5)?

Diagram NOT accurately drawn

(4x + 15)?

B E

(20x + 45)? F

A

BCD and AFE are straight lines.

Show that BCD is parallel to AFE. Give reasons for your working.

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(Total for Question 5 is 5 marks)

8

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