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MathematicsSS 3English

WAEC SSCE Mathematics Paper 2 Sample 2022

WAEC Mathematics Paper 2 tests your ability to reason through complex multi-step problems that reflect real-world scenarios—and distinguishing between "almost right" and "actually correct" is worth a full 5 marks. This sample covers number bases and indices, algebraic functions and calculus-ready reasoning, and mensuration of 2D and 3D solids, blending the objective and structured-response styles you'll see on exam day. Built for SS 3 students preparing for their SSCE, this paper mirrors the depth and pace of the official syllabus. By the time you finish, you'll have internalized the exact patterns that separate a 70% attempt from an A-grade pass: when to use logarithms, how to spot a coordinate geometry trap, and why the examiner always rewards showing every step.

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  1. Question 1

    Convert the binary number 11011211011_2 to a base 10 number.

  2. Question 2

    Simplify 25×2324\frac{2^5 \times 2^3}{2^4}.

  3. Question 3

    If 3x=813^x = 81, find the value of xx.

  4. Question 4

    Express 52x×53−x5^{2x} \times 5^{3-x} as a single power of 5.

  5. Question 5

    Given f(x)=3x−2f(x) = 3x - 2 and g(x)=x2g(x) = x^2, find f(g(2))f(g(2)).

  6. Question 6

    Solve log⁡2(x)=5\log_2(x) = 5.

  7. Question 7

    Is the statement 'log⁡(ab)=log⁡(a)+log⁡(b)\log(ab) = \log(a) + \log(b) for all positive aa and bb' true or false?

  8. Question 8

    If log⁡(x)=2log⁡(3)−log⁡(2)\log(x) = 2\log(3) - \log(2), find the value of xx.

  9. Question 9

    The area of a circle is 154 cm2154 \text{ cm}^2. Using π=227\pi = \frac{22}{7}, find its radius in cm.

  10. Question 10

    A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π=3.14\pi = 3.14)

  11. Question 11

    Is the following statement true or false? 'The surface area of a sphere with radius rr is 4πr24\pi r^2.'

  12. Question 12

    A rectangular prism has dimensions length 8 cm, width 5 cm, and height 6 cm. Calculate its total surface area.

  13. Question 13

    A trapezoid has parallel sides of length 12 cm and 8 cm, and a height of 5 cm. What is its area?

  14. Question 14

    A cone has a base radius of 4 cm and a slant height of 10 cm. Calculate its lateral surface area. (Use π=3.14\pi = 3.14)