# Solve These Elective Mathematics Questions For WASSCE

All 2023 WASSCE candidates who will be writing Elective Mathematics on Tuesday, 5th September, 2023 are advised to try their hands on these likely Elective Mathematics questions. These questions will make you abreast of what you are to expect on the main examination paper.

**1**. Without using mathematical tables or calculator, find, in surd form (radicals), the value of tan22.5

**2**. a. A point **P** divides the straight line joining **X**(1, -2) and **Y**(5, 3) internally in a ratio 2:3. Find the

(a) coordinates of **P**.

(b) equation of the straight line that passes through **N**(3, -5) and **P**.

b. Simplify: 1−25−3−1+25+3

**3**. Without using mathematical tables or calculator, find, in surd form (radicals), the value of tan22.5∘.

**4**. The ages, (in years), of a group of 18 adults have the following statistics, ∑x²=745 and ∑x²=33951.

(a) Calculate the:

(i) mean age,

(ii) standard deviation of the ages of the adults, correct to **two** decimal places.

(b) One person leaves teh group and the mean age of the remaining 17 is 41 years.

Find the

(i) age of the person who left;

(ii) standard deviation of the remaining 17 adults, correct to **two** decimal places

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**5**. a. Solve 3sin^2teetha + 2costeetha = 2.

b. Show that 3sinx +sin2x/ 1+3cosx + cos2x = tanx

**6.** 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. find where b is a constant, find dy/dx

**7**. 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 12cm. Find, leaving to 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.

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**8**. a. The 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|.