Onlinetuition.com SPM Additional Mathematics
Question 15:Additional Mathematics Panel will organise Seminar Skor for some of the students from class A and class B. The number of students from class A is x and the number of students from class B is y. The number of students selected is based on the following constraints:I The maximum number of students … Read more
Question 12:Solution by graph sketching is not accepted.Two particles, A and B, move along a straight line. The velocity of particle A, vA m s-1, is given by vA = 24t – 4t2 – 20, while the velocity of particle B, vB m s-1, is given by vB = 24t – 25, such that t … Read more
Question 8:Diagram 4 shows a trapezium PQRST. QS is parallel to PT.It is given that TR = 26 cm, QS = x cm and SR = 2x cm.(a)(i) State the area, in cm2, of PQST in terms of x.(ii) Hence, find the maximum area, in cm2, of PQST.[4 marks](b) Given that the rate of change … Read more
Question 5: (a)(i) $$ \text { Prove that } 2 \cot ^2 A \sin ^2 A=1+\cos 2 A \text {. } $$(ii) $$ \text { Hence, solve the equation } 2 \cot ^2 A \sin ^2 A=\frac{1}{2} \text { for } 0 \leqslant A \leqslant 2 \pi \text { in terms of } \pi \text … Read more
Question 1:Solve the following simultaneous equations:$$ 4 x+y+2 z=0 \quad, \quad-2 x+3 y+z=8 \quad, \quad x-y-z=-\frac{1}{2} $$[5 marks] Answer: $$ \begin{aligned} 4 x+y+2 z & =0 … (1) \\ -2 x+3 y+z & =8 … (2) \\ x-y-z & =-\frac{1}{2} … (3)\end{aligned} $$$$ \text { Form (1) : } y=-4 x-2 z … (4) $$$$ … Read more