Master These Tough Elective Mathematics Questions For 2025 WASSCE

Solve these well-analyzed and tough Elective Mathematics questions for the 2025 WASSCE. Elective Mathematics is one of the key subjects that can land you that dream admission if you do well in it.
We urge all candidates to take the elective mathematics subject very seriously. Below are the well-analysed questions you should try your hand at.
1. a. Solve 3sin²theta + 2costeetha = 2.
b. Show that 3sinx + sin2x / 1 + 3cosx + cos2x = tanx
2. a. Find from the first principle, the derivative of f(x)= (x+3)^2
b. Given that x^3 y – 4x + 3y = 12, find dy/dx at (-3,0)
c. If 1/2(x^2+ y^2) = bxy, where b is a constant, find dy/dx
3. a. Find the equation of the tangent of the curve y=4x(x^2 – 12) at its maximum point.
b. The radius of a circle is 12 cm. Find, leaving the answer in terms of (pi), the rate at which the area is increasing when the radius is increasing at the rate of 0.2cms^-1.
4.b=2i+3j, position vectors of A and B are a=3i-j and b=2i+3j respectively. Find, correct to 2 significant figures, |4a-2b|
b. Given that m=3i+5j, n=2i-j and r=5i+17j, find |4m-3n-r|.
These are our well-analyzed and tough elective mathematics questions for all 2025 WASSCE candidates to try as they prepare for their examination, which starts from August 4th and ends on the 19th of September 2025.
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