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1. (a) Evaluate 3+252(b) Expres s 17
% as a decimal
Ans wer (A) [1]
(B) [1]
2. Evaluate(a)
(b) 18
+
Ans wer (A) [1]
(B) [1]
.
3 I t is given that
,8
and
9are equivalent fractions
Find the value of a and the value of n.
Ans wer (A) [1]
(B) [1]
4. (a) A car decelerate uniformly from 20m/s to 5ms in 25
seconds
(b) Express 20 meters per second in kilometers per hour.
Ans wer (A) m/s 2 [1]
(B) km/s2[1]
5. (a) Write the following in order of size starting with the
smallest
66
0.6 0.67
666
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Answer (a) __________________________[1]Smaller
(b) The distance of Saturn from the Sun is 1507 million
kilometres.Expres s 1507 million in standard form.
Answer (b) __________________________[1]
6 (a) Express as the product of its prime factors.
(b) Find the lowest common multiple of 154 and 49
Answer (a) _________________________[1]
(b)_________________________[1]
7 In the quadrilateral ABCD, =, =2 , =3 , and =4 ,
(a) Find x
(b) Explain whyAB is parallel toDC
Answer (a) _________________________[1]
(b)_________________________[1]
8 On the grid in the answer space = p and = q
(a) Given that = p-q. mark the point R clearly on the grid.(b)
The point S is shown on the grid.
Given that = q + hp, find h.
(b)h=_______________________[1]
9 (a) The sets A and B are shown on the Venn Diagram in the
answer space.
The element y is such that y A and y B.
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On the diagram write in the correct region
Answer (a)
[1]
(b) = { x : x is an integer and 1 < x< S}
P= {x:x>5}
Q={x:x
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Speed(x km/h)
Frequency
25
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(i) Calculate the gradient of the straight line AB.(ii) Using
the diagram, est imate the value of x at which the gradient of the
curve is equal to
the gradient of the straight line AB
Answer (b) (a) __________________[1]
(ii)_____________________[1]
14 In the diagram, ABCD is a diameter of the circle centre
P.
AB = BC = CD = 2x centimetres .
(a) Find the expression, in term of x and , for the
circumferencesof this circle.
(b) The perimeter of the shaded region consists of two
semicircleswhose diameters are AB and CD. And two semicircles
whosediameters are AC and BD.
Find an express ion, in term of x and , for the area of the
sheded region.
Answer (a) ________________cm [1]
(b)________________cm2[1]
15 in the diagram, BCDE is trapezium, and the sides
CD and BE are product to meet at A.
CB = 12cm, DE = 9cm and the perpendicular
distance from D to CB is 4cm.
Calculate
(a) the area of BCDE.
(b) the perpendicular distance from A to CB.
Answer (a) __________________cm2[1]
(b)__________________cm[1]
16 Given that f(x) =+
, find
(a) f(1
),
(b) f-1(x)
Answer (a) __________________[1]
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(b)__________________[2]
17 in the diagram, the line BA, DC and
EF are parallel.
ABC = 140 and BCF = 115
Find
(a) DCB,
(b) DCF,
(c) EFC,
Answer (a) DCB=__________________[1]
(b)DCF=__________________[1]
(c)EFC ___________________[1]
18 (a) Calculate 5% of $280,000.
(c) A single carton of juice cos t $4.20.A special Offer pack of
3 carton costs $9.45.Ali bought a special offer pack instead of 3 s
ingle cartonsCalculate his percentage saving
Answer (a) $__________________[1]
(b)__________________%[2]
19
The diagram shows a circle, centre C, of radius 5cm, and a
circle, centre A,of radius 3cm.
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The circle intersect at X and Y.
B is a point such that AB=5cm and BC=3cm
(a) Show that triangle ABC and CYA are congruent.Answer(a)
....[2]
(b) Show that the area of the quadrilateral ABCX and AYCX are
equal.Answer (b)
....[2]
(c) State the name of the special quadrilateral AYCX
Answer..[1]
20 the plan of a field has a scale of 1cm to 5 metres .
(a) Express this scale in the form 1: nAnswer (a).[1]
(b) The plan was made by measuring angles from two points , A
and B, 50m apart.The line AB is drawn to scale in the ans wer space
below.
(i) A tree is at the point T in the fieldBAT=35 and ABT = 70
Locate and label T on the plan.
(ii) Given that A is due west of B, state the bearing of T from
B.(iii) By making an appropriate measurement, find the actual
distance, in means , of the
Tree from B
Ans wer (b)(i)
N
A B [1]
Answer(b)(ii)[1]
(iii)[1]
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