building blocks 1
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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
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