Page 51 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Additional Mathematics SPM Model Paper
Section C
(20 marks)
Section: Answer any two questions only
12. Diagram 12 shows the initial position and direction of movement of a particle from a fixed point, O on a
straight line, JOK. The velocity, v ms , is given by v = 12 – 6t, such as t is the time, in seconds, after leaving
–1
point O. The particle stops momentarily at point K.
[Assume the motion of particle upwards is positive]

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K

O

15 m

J
SPM MODEL PAPER Find –1 –2 Diagram 12 [3 marks]

(a) the constanct acceleration, in m s , of the particle,
[1 mark]
(b) the time, in seconds, when the particle passes through point O again,
[3 marks]
(c) the velocity, in m s , when the particle passes through point J,
(d) the total distance, in m, travelled by the particle from point O to J through K.
13. Diagram 13 shows a triangle PQR and triangle RST such as QRT and PRS are straight lines. [3 marks]
P

20°

6 cm
Q 40°

R
8 cm
5 cm

T
S
Diagram 13
(a) Calculate the length, in cm, of
(i) QR,
(ii) ST. [4 marks]
(b) Given point R is located on QT such as PR = PR.
(i) Sketch the triangle of PRQ.
(ii) Find ˙PRQ.
(iii) Calculate the area, in cm , of triangle PRQ. [6 marks]
2

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Model Paper Spotlight Add Math F5.indd 432 20/04/2021 10:37 AM