Page 13 - 1202 Question Bank Mathematics Form 4

9. Diagram below shows the shaded region defined by a Answer:
system of linear inequalities. (a)
y

16
12

8
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4
(b)
x
0 2 4 6 8 10
(a) State all the inequalities that satisfy the shaded
region in the diagram above.
(b) Hence, determine the maximum value of x if
y = 12. HOTS Applying
[5 marks]

Section B

10. Mr. Zakry has allocated RM4 800 to purchase (b)
x units of calculator and y units of geometrical
set for school cooperation. The price of a unit of
calculator and a unit of geometrical set is RM20 and
RM16 respectively. The total of the calculator and
geometrical set is at least 200 units and the number
of unit of calculator purchased is not more than twice
the number of unit of geometrical set. HOTS Applying
(a) Write three inequalities, other than x > 0 and
y > 0, that satisfy the situation above. [3 marks]
(b) Using the scale of 1 cm to 50 units on both axes,
construct and shade the region that satisfies the
system of linear inequalities. [3 marks]
(c) Determine the number minimum and maximum
units of calculator that can be purchased by
Mr. Zakry if he purchased 100 units of
geometrical set. [3 marks]
Answer:
(a)

(c)

56
Question 9: y – y 1
SOS TIP (a) The equation of straight line can be determined by the equation y = mx + c such that m = x – x 1 and c is y-intercept.
2
2
(b) Draw the line y = 12 and determine the maximum value for x.

C06 1202QB Maths Form 4.indd 56 21/02/2022 10:45 AM