# 2023 WASSCE Elective Mathematics: Examination Scheme And Sample Question

## Get to know the examination scheme and some sample questions for elective mathematics for the 2023 WASSCE. All 2023 WASSCE candidates are advised to take note of the examination scheme and prepare very well for the elective mathematics.

There will be two papers, Papers 1 and 2, both of which must be taken at different time. Paper 1 of the elective mathematics will consist of forty (40) multiple-choice objective questions, covering the entire syllabus.

Candidates are required to answer all questions in 1 hour for 40 marks. The questions will be taken from the sections of the syllabus as follows:

Pure Mathematics – 30 questions

Statistics and probability – 4 questions

Vectors and Mechanics – 6 questions

Paper 2 will also consist of two sections, Sections A and B, to be answered in 2 hours for 100 marks. Section A will consist of eight compulsory questions that are elementary, I mean basic questions for 48 marks.

The questions shall be distributed as follows:

Pure Mathematics – 4 questions

Statistics and Probability – 2 questions

Vectors and Mechanics – 2 questions

Section B will consist of seven questions of greater length and difficulty put into three parts: Parts I, II and III as follows:

Part I: Pure Mathematics – 3 questions

Part II: Statistics and Probability – 2 questions

Part III: Vectors and Mechanics – 2 questions

Candidates will be required to answer four questions with at least one from each part for 52 marks.

Below are some sample questions;

PAPER 1 (OBJECTIVES)

1. Find the equation of the line joining points (8, 1) and (-3, 4).

A. 3x – 11y – 35 = 0

B. 3x – 11y + 35 = 0

C. 3x + 11y – 35 = 0

D. 3x + 11y + 35 = 0

2. The sum of the first and sixth terms of an Arithmetic progression (A.P.) is 21. If the first term is 3, find the eighth term.

A. 24

B. 27

C. 30

D. 33

3. If and are the roots of the equation 2×2 – 5x + m = 0, where m is a constant, find ( 2 + 2) in terms of m.

A. + 2m

B. + m

C. – 2m

D. – m

4. Given that y =cos2x, find

A. -sin2x

B. –cos x sin x

C. -2cosx sinx

D. -2sin2x

5. The position vectors of points P, Q and R are p = 4j, q = (4i + 10j) and r = (ki + 8j) respectively, where k is a constant. If ∠PQR = 90o, find the value of k.

A. 7

B. 1

C. -1

D. -7

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