Page 15 - 1202 Question Bank Additional Mathematics Form 5

Section C
[20 marks]
Answer any two questions from this section.

12. (a) In Diagram 7, ABC is a triangle where AB = 13 cm, AC = 8.5 cm and ∠ABC = 38°.
B

13 cm

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A C
8.5 cm
Diagram 7
Calculate
(i) the angle BAC where ACB is an obtuse angle,
(ii) the length of BC.
[4 marks]
(b) A new triangle is formed such that AB, AC and the size of the angle ABC remain unchanged.
(i) Sketch the new triangle. [1 mark]
(ii) Calculate the area of the new triangle. [3 marks]
(iii) Hence, find the shortest distance from A to BC. [2 marks]

13. Table 2 shows the price indices, the changes in price index and the quantities required for the four ingredients, A, B,
C and D used to make a product.

Price index for the year 2019 based Changes in price index from the year
Ingredient Quantity (g)
on the year 2015 2019 to 2020
A 125 Increased by 20% 500

B 120 Decreased by 15% 200

C 90 No change 200

D 150 Increased by 10% 100

Table 2
(a) Calculate
(i) the price of 1 kg of ingredient A in the year 2015 if the price in the year 2019 is RM15,
(ii) the price index of ingredient B in the year 2020 based on the year 2015.
[4 marks]
(b) Calculate the composite index for the cost of the product in the year 2020 based on the year 2019.
[2 marks]
(c) If the cost of the product in the year 2019 is RM50, find the corresponding cost in the year 2020.
[2 marks]
(d) The composite index for the cost of making the product from the year 2020 to the year 2021 is expected to
increase at the same rate as the rate of increase from the year 2015 to the year 2019. Find the expected composite
index for the cost of making the product for the year 2021 based on the year 2015.
[2 marks]

95

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