WAEC Mathematics questions

364 questions with answers and explanations. Tap an option to check yourself.

1. Question 121· Inequalities· WAEC

   Solve x/4 − 1 ≤ 2.

   • Ax ≥ 12
   • Bx ≤ 4
   • Cx ≤ 6
   • Dx ≤ 12

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   Explanation and discussion

2. Question 122· Inequalities· WAEC

   Solve −2x + 3 ≥ 9.

   • Ax ≥ −3
   • Bx ≤ −3
   • Cx ≤ 3
   • Dx ≥ 3

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   Explanation and discussion

3. Question 123· Inequalities· WAEC

   Solve −3x + 2 ≥ 11.

   • Ax ≤ 3
   • Bx ≥ −3
   • Cx ≤ −3
   • Dx ≥ 3

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   Explanation and discussion

4. Question 124· Inequalities· WAEC

   Solve 2(x − 3) > x + 1.

   • Ax < 7
   • Bx > 5
   • Cx > 7
   • Dx > −7

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   Explanation and discussion

5. Question 125· Inequalities· WAEC

   Find the smallest integer x that satisfies 3x + 4 > 19.

   • A4
   • B5
   • C7
   • D6

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   Explanation and discussion

6. Question 126· Inequalities· WAEC

   Solve 3x − 5 < 7.

   • Ax < 4
   • Bx > 4
   • Cx < 2/3
   • Dx > 2

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   Explanation and discussion

7. Question 127· Inequalities· WAEC

   Find the largest integer x that satisfies 7x − 4 < 31.

   • A6
   • B5
   • C3
   • D4

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   Explanation and discussion

8. Question 128· Inequalities· WAEC

   Find the range of x for which 1 < 2x − 3 < 7.

   • A1 < x < 5
   • B2 < x < 5
   • C2 < x < 7
   • D4 < x < 10

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   Explanation and discussion

9. Question 129· Inequalities· WAEC

   On a number line, a shaded circle at 2 with an arrow pointing to the right represents

   • Ax ≥ 2
   • Bx > 2
   • Cx ≤ 2
   • Dx < 2

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   Explanation and discussion

10. Question 130· Inequalities· WAEC

    Solve the inequality 2x − 3 > 7.

    • Ax > 5
    • Bx < 5
    • Cx > 2
    • Dx > 10

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    Explanation and discussion

11. Question 131· Inequalities· WAEC

    Find the range of values of x for which 3 − 2x ≤ 9.

    • Ax ≥ 3
    • Bx ≤ −3
    • Cx ≥ −3
    • Dx ≤ 3

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    Explanation and discussion

12. Question 132· Inequalities· WAEC

    Solve 3 < 2x + 1 ≤ 9.

    • A1 ≤ x < 4
    • B2 < x ≤ 5
    • C1 < x ≤ 4
    • D1 < x < 4

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    Explanation and discussion

13. Question 133· Inequalities· WAEC

    Solve the inequality 5 − 3x < 14.

    • Ax < −3
    • Bx > −3
    • Cx > 3
    • Dx < 3

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    Explanation and discussion

14. Question 134· Inequalities· WAEC

    Solve (2x + 1)/3 ≥ 5.

    • Ax ≤ 7
    • Bx ≥ 8
    • Cx ≥ 7
    • Dx ≥ 2

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    Explanation and discussion

15. Question 135· Loci· WAEC

    The locus of a point P that moves so that it is always 5 cm from a fixed point O is

    • Aa circle of radius 5 cm centred at O
    • Ba straight line
    • Ca square
    • Dan angle bisector

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    Explanation and discussion

16. Question 136· Loci· WAEC

    In a plane, the locus of a point that is always 5 cm from a fixed point O is

    • Aa circle with centre O and radius 5 cm
    • Ba straight line through O
    • Ca pair of parallel lines
    • Dan arc of radius 10 cm

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    Explanation and discussion

17. Question 137· Loci· WAEC

    A goat is tied to a post with a rope 4 m long. The boundary of the region it can graze is

    • Aa circle of radius 8 m
    • Ba square of side 4 m
    • Ca straight line 4 m long
    • Da circle of radius 4 m centred at the post

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    Explanation and discussion

18. Question 138· Loci· WAEC

    A lamp is to be placed the same distance from two straight roads that cross each other. The possible positions lie on

    • Athe lines bisecting the angles between the roads
    • Ba circle round the crossing
    • Ca line parallel to one road
    • Dthe crossing point only

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    Explanation and discussion

19. Question 139· Loci· WAEC

    In a plane, a point moves so that it is always 3 cm from a straight line AB extended both ways. Its locus is

    • Aa single line parallel to AB
    • Ba circle of radius 3 cm
    • Cthe perpendicular bisector of AB
    • Da pair of lines parallel to AB, 3 cm on either side

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    Explanation and discussion

20. Question 140· Loci· WAEC

    As a wheel turns, a point on its rim traces out, relative to the centre of the wheel,

    • Aa circle
    • Ba straight line
    • Ca square
    • Da parabola

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    Explanation and discussion