Page 16 - 1202 Question Bank Mathematics Form 4

PAPER 2

Time: 2 hours 30 minutes
Section A
[40 marks]
Answer all questions in this section.
1. On the graph in the answer space, shade the region 3. Diagram 3 shows a solid combination of a hemisphere
which satisfies the three inequalites 2x + y > 8, and a cylinder. Given that the height of cylinder is
y > x and y , 8. [3 marks] 13 cm and the volume of the solid combination is
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59 3
Answer: 1 282 cm .
60
y
16
14 y = x
12
13 cm
10
8
6
Diagram 3
4
By using π = 22 , calculate the radius, in cm, for
2 7
x hemisphere and cylinder. [4 marks]
–2 2 4 6 8 10 12
–2 Answer:
2x + y = 8
–4

2. The Venn diagram below shows the set P, set Q
and set R with the state of the universe set,
ξ = P  Q  R. On the given diagram, shade the set
(a) Q  R
P

Q R

4. Diagram 4 shows the OPQ and OQRS sectors. OTQ
is an right-angled triangle and TOS is a straight line.
[1 mark]

(b) P  (Q  R) R T
P
O Q

Q R 14 cm P

S
Diagram 4
Given that OS = 2OT. By using π = 22 , calculate
[2 marks] 7
(a) the perimeter, in cm, of the whole diagram.
[2 marks]
(b) the area, in cm , of the shaded region. [2 marks]
2
107

APaper 1202QB Maths Form 4.indd 107 17/02/2022 2:49 PM