Page 11 - 1202 Question Bank Mathematics Form 5

PAPER 2

Section A

1. Table below shows some values of the variables p 3. L varies directly as the square root of m and inversely
4
and q. as the square of n. Given that L = when m = 64 and
5
1 q = 5.
p 1 x
5 (a) Express L in terms of m and n. [2 marks]
(b) Find the value of L when m = 81 and n = 3
q 4 108 y
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[1 mark]
It is given that q varies inversely as the cube of p. (c) Find the value of m when L = 15 and n = 4.
(a) Write an equation which relates p and q. 8 [1 mark]
[2 marks]
(b) Find the values of p and of q. [2 marks] Answer:
(a)
Answer:
(a)

(b)

(b)

(c)

2. It is given that w varies directly as the cube of x and 4. The volume of a cone, V with base radius r and height
inversely as the square root of y. Given that w = 27 h is V = r h.
1 2
when x = 3 and y = 4. 3
(a) Write an equation which relates w, x and y. (a) What is the relation between h and r?
[2 marks] (Using symbol fi and h as the subject.)
(b) Find the value of w when x = 4 and y = 16. [1 mark]
[2 marks] (b) Given that the height is 5 cm when its base radius
is 4 cm. Calculate its height when the base radius
Answer: is 2 cm. [2 marks]
(a)
Answer:
(a)

(b)
(b)

7
Question 4:
Change the subject of the relation to h.
Based on the new relation, substitute all the given values of unknowns to find the value of h. SOS TIP

C01 1202BS Maths F5.indd 7 26/01/2022 3:43 PM