JAMB and WAEC Mathematics questions

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

1. Question 341· Loci· JAMB

   A and B are fixed points, and P moves so that angle APB is always 90°. The locus of P is

   • Aa line parallel to AB
   • Bthe perpendicular bisector of AB
   • Ca circle with AB as diameter
   • Da circle with centre A

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   Explanation and discussion

2. Question 342· Loci· JAMB

   The locus of points equidistant from A(0, 0) and B(4, 0) is the line

   • Ay = 2
   • Bx = 2
   • Cx = 4
   • Dy = x

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3. Question 343· 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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4. Question 344· Loci· JAMB

   The locus of points less than 5 cm from a fixed point P is

   • Athe region inside a circle of radius 5 cm centred at P
   • Ba circle of radius 5 cm only
   • Cthe region outside the circle
   • Da straight line through P

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   Explanation and discussion

5. Question 345· 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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6. Question 346· Loci· JAMB

   The locus of points equidistant from the parallel lines y = 2 and y = 6 is the line

   • Ay = 8
   • By = 4
   • Cx = 4
   • Dy = 3

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7. Question 347· Loci· JAMB

   The locus of points 3 cm from a fixed point O is

   • Atwo parallel lines
   • Ba straight line through O
   • Ca square with centre O
   • Da circle with centre O and radius 3 cm

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   Explanation and discussion

8. Question 348· 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

9. Question 349· 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

10. Question 350· 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

11. Question 351· Loci· JAMB

    A point moves so that it is always 3 units from the x-axis. Its locus is

    • Aa circle of radius 3
    • Bthe line y = 3 only
    • Cthe line x = 3
    • Dthe pair of lines y = 3 and y = −3

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12. Question 352· Loci· WAEC

    A point P moves so that angle APB = 90°, where A and B are fixed points. The locus of P is

    • Aa straight line through A
    • Bthe perpendicular bisector of AB
    • Ca circle with AB as diameter
    • Da circle with centre A

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    Explanation and discussion

13. Question 353· Loci· WAEC

    Two boreholes P and Q are 100 m apart. A tap is to be placed the same distance from both. The possible positions of the tap lie on

    • Aa circle with diameter PQ
    • Bthe line PQ only
    • Ca circle with centre P
    • Dthe perpendicular bisector of PQ

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14. Question 354· Loci· JAMB

    The locus of points equidistant from two intersecting straight lines is

    • Aa circle through the point of intersection
    • Bthe pair of lines bisecting the angles between them
    • Ca line parallel to one of them
    • Dthe perpendicular from one line to the other

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15. Question 355· Loci· JAMB

    The locus of points equidistant from three points that are not in a straight line is

    • Aa single point
    • Ba straight line
    • Ca circle
    • Dtwo parallel lines

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16. Question 356· Loci· JAMB

    The locus of points equidistant from the x-axis and the y-axis is

    • Athe line y = x only
    • Bthe pair of lines y = x and y = −x
    • Cthe x-axis
    • Da circle

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17. Question 357· Loci· JAMB

    The locus of points equidistant from two fixed points A and B is

    • Aa circle with AB as diameter
    • Bthe perpendicular bisector of AB
    • Ca line parallel to AB
    • Dthe line AB

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18. Question 358· Loci· JAMB

    The locus of points equidistant from the two arms of an angle is

    • Athe bisector of the angle
    • Ba circle
    • Ca line parallel to one arm
    • Da perpendicular to one arm

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19. Question 359· Loci· WAEC

    Points equidistant from two parallel lines 8 cm apart lie on

    • Aa line midway between them, 4 cm from each
    • Ba line 8 cm from each
    • Ca circle of radius 4 cm
    • Deither of the two lines

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20. Question 360· Loci· WAEC

    The locus of points inside a circle of radius 5 cm that are 2 cm from its centre is

    • Aa circle of radius 3 cm
    • Ba circle of radius 2 cm with the same centre
    • Ca line 2 cm long
    • Da circle of radius 7 cm

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    Explanation and discussion