These are the questions for the 2024 WASSCE Elective Mathematics Paper 1.
1. If \( \displaystyle \frac{5}{\sqrt 2} – \frac{\sqrt 8}{8} = m\sqrt 2 \), find the value of \( m \).
A. \( \displaystyle \frac{12}{5} \)
B. \( \displaystyle \frac{9}{4} \)
C. \( \displaystyle \frac{7}{3} \)
D. \( \displaystyle \frac{5}{2} \)
2. Given that \( f:x \to \sqrt x \) and \( g:x \to 25 – x^2 \), find the value of \( f \circ g(3) \).
A. 4
B. 3
C. 2
D. 1
3. If \( \displaystyle \sqrt x – \frac{6}{\sqrt x} = 1 \), find the value of \( x \).
A. 9
B. 16
C. 25
D. 36
4. If \( 5x + 7 \equiv P(x + 3) + Q(x – 1) \), find the value of \( P \).
A. 3
B. 2
C. 1
D. 0
5. A binary operation \( * \) is defined on the set of real numbers, R by \( \displaystyle x * y = \frac{y^2 – x^2}{2xy}, x, y \neq 0 \), where \( x \) and \( y \) are real numbers. Evaluate \( -3 * 2 \).
A. 13/12
B. 5/12
C. -5/12
D. -13/12
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