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SECTION ONE: Each question contains 3-points

Question 1.

Question 2.

Question 3.

Time Allowed : 90 Minutes

(A) –5

(B) –3

(C) 3

(D) 5

Shahbaz has this number on his calculator screen.

Which of these is equal to Shahbaz's number?

5(A) 38 x 10–5

(B) 38 x 103(C) 38 x 10–3(D) 38 x 10

This block can be made from cubes with sides 2 cm.

How many of these cubes could be used to make the block?

(A) 12 288

(B) 24 576

(C) 49 152

(D) 98 304

64 cm48 cm

32 cm

?2( (1 2

2( (

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Question 4.

Question 5.

Nadia has written this expression.

Which of these expressions is equivalent to Nadia's expression?

(A) – 4 – 8y

(B) – 4 – 4y

(C) – 8 – 8y

(D) – 8 – 4y

This cog has 56 teeth.

The cog turns by one tooth.

How much does it turn to the nearest degree?

(A) 6°

(B) 3°

(C) 2°

(D) 1°

2 6 6y y( (2

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Question 6.

Question 7.

This graph shows a company's share price over a six-month period.

For about what fraction of this time period was the share price above 6.50 Million Rupees?

(A) (B)

(C) (D)

A curved line crosses this rectangle.

Which value is closest to the correct length of the line, in centimetres?

(A) 50

(B) 60

(C) 80

(D) 90

eJun y

Jul AugSep

OctNov

8.00

7.50

7.00

6.50

6.00

5.50

5.00

4.50

4.00

Trading days

Shar

epr

ice

(s/s

hare

)

45 cm

31 cm

2

5

1

3

1

2

2

3

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Question 8.

Question 9.

A series of numbers can be generated from a single starting number by repeating a single operation.

2For example, with the operation shown, the starting number X = 4 generates the number 12, as this is equal to 4 – 4. The 2number 12 then generates the next number, 132, as this is equal to 12 – 12, and so on.

Which of the following starting numbers, when used with this operation, will generate a series of numbers that continually increases?

(A) –2

(B) –1

(C) 0

(D) 2

At what positive value of V does F = 0?

(A) V = 10

(B) V = 40

(C) V = 50

(D) V = 80

X X X2

Starting value X ?

F V V 4000302

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Question 10.

Each diagram shows a graph and a given point through which the graph passes.

Which graph, when reflected in the y axis, will still pass through the given point?

(A) A(B) B(C) C(D) D

y

x

(2, 8)

x

y

(-2, 0)

x

y

(2, 4)

y

x

( (12

4,

(A)

(B)

(C)

(D)

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SECTION TWO: Each question contains 4-points

Question 11.

Question 12.

This tap is dripping at a rate of one drop every 2 seconds.

One drop is approximately 0.05 mL.

How many millilitres of water drip from the tap in one hour?

(A) 3(B) 6(C) 90(D) 180

Which of the following will give a negative answer if b is a positive counting number?

–2(A) (–b)

2(B) (–b)–2(C) (b)2(D) (–b)

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Question 13.

Question 14.

Two identical squares overlap, as shown.

What is the value of a?

(A) 25(B) 30(C) 45(D) 50

Sobia drew a regular 10-sided polygon.

On each edge of the polygon she drew a regular pentagon as shown.

The perimeter of the whole shape was 64 cm.

What was the perimeter of one of the pentagons?

(A) 32 cm(B) 16 cm(C) 6.4 cm(D) 3.2 cm

150

NOT TO SCALE

a

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Question 15.

Question 16.

A café sells hot drinks in three sizes: large, medium and small.

The large size holds 25% more drink than the medium size. The medium size holds 20% more drink than the small size.

A large drink cup holds 600 millilitres of drink.

How much drink does a small cup hold?

(A) 30 millilitres(B) 270 millilitres(C) 400 millilitres(D) 420 millilitres

On Monday 24 students took a mathematics test. The mean was 88%.

Asalm was absent from the class on Monday, so he did the test on Tuesday. He scored 84%.

What is the new mean for the class?

(A) 84.48%(B) 86%(C) 87.84%(D) 91.5%

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Question 17.

Question 18.

A microsecond is one millionth of a second.

A microbe takes 800 microseconds to move across a blood vessel.

How long is this in seconds?

–4(A) 8 × 10 seconds–3(B) 8 × 10 seconds6(C) 8 × 10 seconds8(D) 8 × 10 seconds

The diagram shows two isosceles triangles which share the same base.

Which formula is true for the diagram?

(A) y = 90 – 2x(B) y = 90 – x(C) y = 180 – x(D) y = 180 – 2x

NOT TO SCALE

x

x

y

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Question 19.

Question 20.

2Which of these curves could be a graph of the function y = x – 5x + 6?

(A) A(B) B(C) C(D) D

Which region on the graph is represented by these four inequalities?

(A) A(B) B(C) C(D) D

(A) (B)

(C) (D)

y

x

1 1 22x

o

y

(B)

(D)(C)

5

4

3

2

1

y x+ 2

y 2

y x 22 x 2

y x103 5

(A)

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SECTION THREE: Each question contains 5-points

Question 21.

Question 22.

Question 23.

Here are the first 4 terms of a number pattern.

Which of these could be the seventh term in the pattern?

(A) 27(B) 11(C) –8(D) –27

2(A) 1 (B) 4k

(C) (D)

Laiba has written this algebraic expression.

Which expression is equivalent to Laiba's expression?

(A)

(B)

(C)

(D)

( (22 2k 2( (4 2 2k

1

?

(x2 2 2(y (y2 2 2(x

k4

1k32

15

2 4x 2 x y2 2 22 y

4 4x4 y4

( (y2 2 2y 2x2

2 x 2 y2 2 42 y( x2 (

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Question 24.

Question 25.

thMariam boarded a plane from the airport on the 10 of August. The airport clock showed that it was Saturday shortly after 6 pm.

When Mariam returned the clock had moved 135° from its position when Mariam left the airport.

How many hours have passed since Mariam boarded the plane on Saturday?

(A) 32(B) 54(C) 63 (D) 69

Two cylinders each have their height equal to their diameter.

The radius of cylinder X is equal to the diameter of cylinder Y.

How many times bigger is the volume of cylinder X than cylinder Y?

(A) 2(B) 4(C) 8(D) 16

cylinder Ycylinder X

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Question 26.

Question 27.

The diagram shows a rectangular prism and the area of three of its faces.

Which expression shows the volume of the rectangular prism?

(A)

(B)

(C)

(D)

This diagram shows a cubic section of a sodium chloride crystal. Each green sphere represents a chloride ion and each yellow sphere represents a sodium ion.

The distance between the centre of a chloride ion and a sodium ion is as shown here.

3What is the approximate volume, in m , of the prism whose vertices are the centres of the eight ions that form the corners of this crystal section?

-15(A) 1.4 x 10-15(B) 1.2 x 10-15(C) 2.7 x 10 -17(D) 8.6 x 10

NOT TO SCALE

cm2cm2

cm2

z y

x

NOT TO SCALE

xyz

xyz

xy

xy

z

cm3

cm 3

2.78 x 10-6m

cm 3

cm3

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Question 28.

Question 29.

The diagram shows the position of a circle. The centre of the circle is at (–2, –1).

The circle is rotated 270° anticlockwise around the point (0, 0).

What will be the new coordinates of the centre of the circle?

(A) (1, 2)(B) (2, 1)(C) (–2, 1)(D) (–1, 2)

The diagram shows a cube of side 10 cm.

What is the area, to the nearest cm2, of triangle KLM?

(A) 61(B) 87(C) 100(D) 123

K

L

M

NOT TO SCALE

y

x4 2 O 2 4

2

2

4

4

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Question 30.

Quadrilaterals ABCD and EFGH are congruent.

Which of these pairs of transformations could move ABCD on to EFGH?

(A) A(B) B(C) C(D) D

(A)(B)(C)(D)

Reflectionin the line

Translation

yyxx

ooo

o horizontally +10

vertically -6

vertically -6

horizontally +10

5

5 E

H

D

C 5

B

O

5 F

G

y

x

A

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