Page 18 - 1202 Question Bank Additional Mathematics Form 4

13. A grocery shop sells three types of can drinks. Table 13 shows the price, the price indices and the percentage of can
drinks sold.
Price per can (RM) Price index in the
Type of can drink year 2018 based on Percentage of can
2016 2018 the year 2016 sold in 2018
P 1.60 1.80 x 25
Q 1.20 1.50 150 p
R y 0.96 120 55
Table 13
©PAN ASIA PUBLICATIONS
(a) Find the value of x, y and p. [3 marks]
(b) (i) The price of can drink P increased by 5% from 2018 to 2019. Find the price index of can drink P in the year
2019 based on the year 2016. [2 marks]
(ii) The price index of can drink R in the year 2016 based on the year 2012 was 130. Calculate the price index
of can drink R in the year 2018 based on the year 2012 and its price in the year 2012. [2 marks]
(c) Calculate the composite index for the can drinks sold by the grocery shop in the year 2018 based on the
year 2016. [3 marks]

14. A carpenter wants to make a sculptor as shown in the Diagram 14.
A B

F G
C
D
5 cm

E J H
24 cm
Diagram 14
Given the height of the sculptor is 5 cm, EH = 24 cm and EJ : JH = 1 : 2. Find
(a) the length of CJ, [3 marks]
(b) the length of BC if the area of the triangle BCJ is 39 cm , [2 marks]
2
(c) the angle between JB and the plane EFGH, [3 marks]
(d) ∠ABJ. [2 marks]

15. Diagram 15 shows the front view of a tunnel in the parabolic form with the highest point of 10 m from the ground.

y

L L
A 1 2 B

10 m

x
O P
30 m
Diagram 15
Given the width of the tunnel is 30 m.
(a) Write three possible equations in the vertex form to represent the shape of the parabola. [6 marks]
(b) Two lights is hung from the roof of the tunnel such that AL = L L = L B. Find the height of the lights that hung
1 2
2
1
from the ground. [4 marks]

END OF QUESTION PAPER
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11_1202 QB AMath F4.indd 97 09/05/2022 11:36 AM