Page 15 - 1202 Question Bank Additional Mathematics Form 4

Section B
[16 marks]
Answer any two questions from this section.

13. Diagram 8 shows a graph log y against x which Answer:
10
relating variables x and y in an experiment. (a)
log y
10
2
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1.5
(b)
1
0.5

x
0 1 2 3 4 (c)
Diagram 8
Based on the graph above,
(a) find the gradient and the y-intercept,
(b) form an equation which relating x and y, (d)
(c) find the value of y when x = 0.5,
(d) find the value of x when y = 40.
[8 marks]
Answer:
→
→
(a) 15. O is the origin. OA and OB are 2i + j and 2i + 3j
~
respectively. E is the midpoint of AB. ~ ~ ~
→
(a) Find the vector OE.
→
(b) (b) OAPB is a parallelogram, find the vector of OP.
→
→
(c) Express BP – BE, in terms of i and j.
~
(d) Find ∠AOB. ~
(c) [8 marks]
Answer:
(a)
(d)

14. Diagram 9 shows a cyclic quadrilateral KLMN (b)
with centre of O. NOK is the diameter, ML = 6 cm,
LK = MN = 5 cm and ∠MNK = 65°.
L (c)
6 cm
M K

65° O
N
(d)
Diagram 9
Find
(a) the length of KM, [2 marks]
(b) ∠KML, [2 marks]
(c) the radius of the circle, [2 marks]
(d) the area of quadrilateral KLMN. [2 marks]
END OF QUESTION PAPER
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11_1202 QB AMath F4.indd 93 09/05/2022 11:36 AM