These are the questions for the WASSCE 2025 Core Mathematics Paper 1.
1. Solve: \( \displaystyle \frac{\log_3{(2x – 1)}}{\log_3{243}} = \frac{2}{5} \).
A. x = 5
B. x = 4
C. x = 3
D. x = 6
2. A man cycles a distance of (3a) km at V km/h and then walks a distance of a km at (V – 7) km/h. Find the total number of hours he spent travelling.
A. \( \displaystyle \frac{4a}{2V – 7} \)
B. \( \displaystyle \frac{V}{3a} + \frac{V – 7}{a} \)
C. \( \displaystyle \frac{3a}{V} + \frac{a}{V – 7} \)
D. \( \displaystyle \frac{2V – 7}{4a} \)
3. The first 4 terms of an Arithmetic Progression (A. P.) are 8, x, y and 17. Find the value of x + y.
A. 31
B. 25
C. 20
D. 40
4. A town P is due south of town Q and town R is on a bearing of \( 125^{\circ} \) from Q. If town R is 20 km due east of P, find |PQ|.
A. 14 km
B. 15 km
C. 20 km
D. 12 km
5. Factorize: \( 5p^2 + 4pq – 15pr – 12qr \).
A. (p + 3r)(5p + 4q)
B. (p + 3r)(5p – 4q)
C. (p – 3r)(5p + 4q)
D. (p – 3r)(5p – 4q)
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