Page 79 - Focus SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 1 Circular Measure
10. The diagram below shows the frame of a wau
helang with the symmetrical axis on the straight
line QV. PXR and PYR are sectors of circle with
radius of 50 cm with centres Q and T respectively.
P Q
TUVW is a sector of circle of radius 20 cm with
15 m centre T. PTW and RTU are straight lines.
Q
Calculate
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2
(a) the cross-sectional area, in m , of the tunnel X
above the highway, P R
(b) the maximum volume, in m , of the water that
3
can be stored in the trench during flash flood. Y
[Use π = 3.142] T
U W
9. The diagram below shows the cross-section of a V
ball with centre O floating on the surface of water.
Points A and B are on the water surface and the Given ∠PQR and ∠PTR are 115°, calculate
lowest point, C is 5 cm below the water surface. (a) the perimeter, in cm, of the shaded region,
(b) the area, in cm , of the shaded region.
2
[Use π = 3.142]
O 11. The diagram below shows two slices of chocolate
A B cake with different size and price.
5 cm HOTS
C Evaluating
30
Given the volume of the spherical ball is 2 304π
cm , calculate 8 cm 5 cm
3
(a) the radius, in cm, of the ball, 12 cm 12 cm 8 cm
(b) ∠AOB, in radian, Slice of cake A Slice of cake B
(c) the cross-sectional area, in cm , of the ball RM12 per slice RM10 per slice
2
above the water surface.
[Use π = 3.142] Ethyn could not choose the slice of cake that
is more reasonably priced. You as a smart
consumer can help Ethyn buy a slice of cake at
a more reasonable price. Justify your reason
mathematically.

Form 5

240