Building Blocks 1

SG MATHEMATICS

Credit

Qu. 1

If we write the number 375 000 000 000

3.75 10n

A B C

D E

12 11 10

9 8

in the form

what is the value of n

Qu. 2

What is the scale factor that enlargestriangle ABC to PQR

A B C

D E

2

25°

75°

85°

25°

A

B

C

P

Q

R3

9

6

12

3

4

½

1

3

Qu. 3

Given 2( ) 5f x x

A B C

D E1

Evaluate

3 9 7

2

( 2)f

Qu. 4

What is the value of:

2

327

A B C

D E9

18 6 0

Don’t understand

Qu. 5

What is the gradientof the line shown

A B C

D E

-2 2

11

5

11

3

(5, 12)2

6

Qu. 6

AB is the diameter ofthe circle centre O.

A B C

D E160°

20° 90° 70°

20°

A

B

E

OWhat is the value ofEAB

Don’t know

Qu. 7

Put in its simplest form

72

A B C

D E Don’t understand

6 2 3 8 2 18

72

Qu. 8

What is the value of:

3

216

A B C

D E27

24 64 8

Don’t understand

Qu. 9

What is the y-interceptof the line shown

A B C

D E

5 2

(5, 12)2

11

0

0 Don’t understand

Qu. 10

Simplify3 4

2

x x

x

A B C

D E

9x 5x 10x6x 4x

Qu. 11

Break the brackets

2 3 3 4x x

A B C

D E

26 12x x 26 2 12x x 26 12x x 25 3 1x x 26 12x x

Qu. 12

AB is a tangent tothe circle centre O.

A B C

D E80°

55° 45° 90°

35°A BP

O

What is the value ofROA

100°

45°

R

Qu. 13

Which of these shapes is a prism

A B C

D E2 only

1 and 3 only

1 and 4 only 4 only

2 and 4 only

1 2 3 4

Qu. 14

What is the equationof the line shown

A B C

D E

(5, 12)2

0

5 2y x 2 2y x 5 12y x

3 2y x Don’t understand

Qu. 15

Factorise

A B C

D E

2 29 4x y

3 2 3 2x y x y 9 4 9 4x y x y 9 2 2x y x y

3 4 3 4x y x y 6 2 3 2x y x y

Qu. 16

Solve the equation

A B C

D E

2 3 1 7x x

7x 7x 8x

10x 4x

Qu. 17

These two shapes are mathematically similar

A B C

D E80 cm2

60 cm2 180 cm2 160 cm2

The area of shape A is 20 cm2.What is the area of shape B?

120 cm2

A B

2 cm

6 cm

20 cm2

Qu. 18

The diagram shows a rubbish skip.

The area of the trapezium is

6.5 m2

The width of the skip is 2.2 m.

What is the volume of the

skip ?A B C

D E

14.3 m3

Don’t understand

6.5 m2

2.2 m

7.2 m3 8.7 m314.3 m3

28.6 m3

Qu. 19

What is the equation of this straight line

A B C

D E

3

(4, 9)

3

23y x 2

33y x 3y x

9

43y x 4

39y x

Qu. 20

What is the area of this triangle

A B C

D E

8 cm 10 cm

13 cm

80 cm2

40 cm2

52 cm2 65 cm2

31 cm2

Qu. 21

What is the equation of the line of symmetryfor this parabola

A B C

D E

1

5x

9

4x 5y

4y Don’t understand

Qu. 22

What is the area of this circle ?

A B C

D E

14 cm

154 cm2

22 cm2

616 cm2

O

44 cm2

28 cm2

(to nearest whole number)

Qu. 23

ABCD is a rectangle.M is the mid-point of AB.

CE is a vertical post.What is the length of CM

A B C

D E

21.6 m

Don’t understand

37.9 m 48.0 m

30.0 m

(to one decimal place)

A B

CD

E

M36 m

12 m

Qu. 24

The area of this triangleis 60 cm2

A B C

D E

6 cm

A

60 cm2

360 cm

40 cm

5 cm 20 cm

10 cm

What is the lengthof AB ?

B

C

Qu. 25

Class 3X have a maths test. The mean mark is 56% with a standard deviation of 7.4

A 3Y have better average mark but are more variable

3Y have the same maths test. Their mean mark is 64% with a standard deviation of 8.7

Which statement below is correct ?

B 3Y have better average mark but are more consistent

C 3Y have better average mark but are less variable

Qu. 26

What is the circumferenceof the circle

A B C

D E

radius = 20 cm

62.8 cm

Don’t understand

1256.6 cm

O

5026.5 cm

125.7 cm

(to one decimal place)

Qu. 27

The price of this TV hasbeen increased by 6%.

A B C

D E

£ 487.38

Don’t understand these

£ 432.20 £ 433.76

£ 27.59

What was the price before the increase ?

£ 459.79

Qu. 28

Expand and simplify

A B C

D E

3 3 2x x

23 7 6x x

23 7 5x x 23 11 6x x 23 7 6x x

23 7 6x x

Qu. 29

What is the length of the arc PQ

A B C

D E

9 cm

38.9 cm

Don’t understand

8.6 cm

O

4.3 cm

155.5 cm

(to one decimal place)55°

Qu. 30

Expand

A B C

D E

1

22 5p p

1 5

2 25p p1 5

2 25p p1 3

2 25p p1

125p p5 1

2 25p p Don’t understand

Qu. 31

What is the area of this triangle

A B C

D E

14 cm

18 cm

85°

251.0 cm2

11.0 cm2

126.0 cm2 22.0 cm2

125.5 cm2

(to 1 decimal place)

Qu. 32

ABCD is a rectangle.M is the mid-point of AB.

CE is a vertical post.What is the height of post CE?

A B C

D E

4.2 m

Don’t understand

10.0 m 4.7 m

9.1 m

(to one decimal place)

A B

CD

E

M12 m

8 m25°

Qu. 33

From A, the bearing of B is 056°.

From C, the bearing of B is

290°

Calculate angle ABC

A B C

D E

56°

Don’t understand

76° 124°

126°

A

B

C56°

N N