SPM 2025 Paper 1

Question 14:(a) It is given that g(x) = |1 – 3x| for the domain -2 ≤ x ≤ 2.(i) Determine whether g(x) is a discrete function or continuous function.Give your justification.(ii) Sketch the graph of g(x).[3 marks](b) It is given that f : x → x + 3.(i) Find fn(x), such that n is a … Read more

Question 12:Diagram 12 shows a geometrical mural drawn by members of the Art Club. The mural consists of a rectangle QRST and a semicircle PQBAT with centre P. SR = 1.84 m and ∠ SPR = 72o.The club has allocated RM50 to decorate the mural. Sectors TPA and QPB will be painted green. A tube … Read more

Question 10:(a) Determine the number of different ways to arrange 7 letters from the word ‘SEMPURNA’ in a row without repetition. [1 mark](b) A four-digit number is to be formed by using the digits 1, 2, 3, 4, 5 and 6, such that the repetition of digits 1, 2, 3, 4 and 5 is not … Read more

Question 7:(a) State the complementary angle, in radian, of α in terms of π and α. [1 mark](b) On Diagram 7, sketch a line to represent -225°. [1 mark] Answer: (a) $$ \begin{aligned} &\text { Complementary angle }\\ &=\frac{\pi}{2}-\alpha \end{aligned} $$(b) Question 8: (a) $$ \text { It is given that } f(x)=\frac{3}{(1-2 x)^8} \text … Read more

Question 4:(a) Diagram 4 shows two parallelograms with height of p cm.$$ \text { It is given that } G F=(3+\sqrt{2}) \mathrm{cm}, E D=\sqrt{8} \mathrm{~cm} \text { and the total area of the parallelograms is }(9 r+3 r \sqrt{2}) \mathrm{cm}^2 \text {. } $$$$ \text { Express } p \text { in the form } … Read more

Question 1:The following information refers to the equation of the straight lines AB and CD.Find the value of p, if both of the straight lines are parallel. [2 marks] Answer: $$ \begin{aligned} A B: 2 y-8 x+1 & =0 \\ 2 y & =8 x-1 \\ y & =\frac{8}{2} x-\frac{1}{2} \\ y & =4 x-\frac{1}{2} … Read more