2024 WASSCE: Likely Core Mathematics Questions and Answers

2024 WASSCE: Likely Core Mathematics Questions and Answers

For students in Ghana, the West African Senior School Certificate Examination (WASSCE) is a crucial milestone in their academic journey.

Core Mathematics is a fundamental subject in the WASSCE curriculum, requiring students to demonstrate their proficiency in various mathematical concepts and problem-solving skills. As the 2024 WASSCE approaches, it’s essential for students to prepare thoroughly for the Core Mathematics exam.

In this article, we’ll explore likely questions and provide detailed answers to help students excel in their 2024 WASSCE Core Mathematics paper.

2024 WASSCE: Likely Core Mathematics Questions

Section A: Objective Multiple Choice (50 Marks)

Algebra (15 Marks)

  1. Solve the equation: 2x + 5 = 11
    • (a) x = 2
    • (b) x = 3
    • (c) x = -3 Correct Answer
    • (d) x = -5
  2. The solution to the system of equations y = 2x + 1 and x + 3y = 12 is:
    • (a) x = 1, y = 2
    • (b) x = 2, y = 3 Correct Answer
    • (c) x = 3, y = 4
    • (d) x = 4, y = 5
  3. The value of 2^3 x 2^2 is:
    • (a) 2^5
    • (b) 2^6 Correct Answer
    • (c) 4^6
    • (d) 6^2
  4. The expression simplified as x + (2x – 3) is:
    • (a) x – 3
    • (b) 3x – 3 Correct Answer
    • (c) 2x^2 – 3
    • (d) x^2 + 2x – 3
  5. The value of x that satisfies the equation x^2 – 5x + 6 = 0 is:
    • (a) 2
    • (b) 3 Correct Answer
    • (c) -2
    • (d) -3

Number and Statistics (15 Marks)

  1. The sum of the interior angles of a polygon with n sides is given by the formula 180(n-2). What is the sum of the interior angles of a hexagon (n = 6)?
    • (a) 360 degrees
    • (b) 540 degrees Correct Answer
    • (c) 720 degrees
    • (d) 900 degrees
  2. If the ratio of boys to girls in a class is 3:2, what percentage of the class is girls?
    • (a) 20%
    • (b) 33.3% Correct Answer
    • (c) 40%
    • (d) 50%
  3. The mean of a set of data is 8. If a number 10 is added to the set, the new mean becomes 8.5. What was the original size of the data set?
    • (a) 2
    • (b) 3 Correct Answer
    • (c) 4
    • (d) 5
  4. If the probability of event A happening is 0.4, the probability of event A not happening is:
    • (a) 0.2
    • (b) 0.4
    • (c) 0.6 Correct Answer
    • (d) 0.8
  5. The median of a set of ordered data is the:
    • (a) Largest value
    • (b) Smallest value
    • (c) Middle value when arranged in order Correct Answer
    • (d) Average of all values

Mensuration (10 Marks)

  1. The area of a rectangle with length 5 cm and breadth 3 cm is:
    • (a) 8 cm²
    • (b) 13 cm²
    • (c) 15 cm² Correct Answer
    • (d) 25 cm²
  2. The volume of a cylinder with radius 4 cm and height 10 cm is:
    • (a) 40π cm³
    • (b) 120π cm³ Correct Answer
    • (c) 160π cm³
    • (d) 200π cm³
  3. The diameter of a circle is 14 cm. What is the radius?
    • (a) 7 cm Correct Answer
    • (b) 14 cm
    • (c) 22 cm
    • (d) 44 cm
  4. The area of a triangle with base 8 cm and height 6 cm is:
    • (a) 12 cm²
    • (b) 24 cm² Correct Answer
    • (c) 36 cm²
    • (d) 48 cm²
  5. The surface area of a cube with side length 5 cm is:
    • (a) 25 cm²
    • (b) 50 cm²
    • (c) 125 cm² Correct Answer
    • (d) 150 cm²

Trigonometry (10 Marks)

  1. In a right-angled triangle, the sine (sin) of an angle is opposite over hypotenuse. If the opposite side is 12 cm and the hypotenuse is 13 cm, what is the sin of the angle?
    • (a) 0.5
    • (b) 0.923 Correct Answer
    • (c) 1.08
    • (d) 1.25
  2. The derivative of the function f(x) = 2x^2 is:
    • (a) x
    • (b) 2x Correct Answer
    • (c) 4x
    • (d) x^2
  3. The integral of the function f(x) = 3x is:
    • (a) 3x^2 Correct Answer
    • (b) x^3
    • (c) 1/3x
    • (d) -3x
  4. The cosine (cos) of an angle is adjacent over hypotenuse. If the adjacent side is 8 cm and the hypotenuse is 10 cm, what is the cos of the angle?
    • (a) 0.4
    • (b) 0.8 Correct Answer
    • (c) 1.25
    • (d) 1.5
  5. In a right-angled triangle, what is the relationship between sin^2 (theta) and cos^2 (theta) (where theta represents the angle)?
    • (a) sin^2 (theta) + cos^2 (theta) = 0
    • (b) sin^2 (theta) + cos^2 (theta) = 1 Correct Answer
    • (c) sin^2 (theta) – cos^2 (theta) = 0
    • (d) sin^2 (theta) – cos^2 (theta) = 90

Disclaimer: This post is for informational purposes only and doesn’t guarantee the appearance of specific questions in the actual WASSCE exam. If you focus on these likely themes and practicing your scientific understanding, you’ll be well-equipped to tackle the 2024 WASSCE Core Mathematics exam with confidence!

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