JAMB and WAEC Mathematics questions

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

1. Question 361· Loci· JAMB

   The point inside a triangle that is equidistant from all three sides lies on

   • Athe altitudes
   • Bthe perpendicular bisectors of the sides
   • Cthe medians
   • Dthe bisectors of the angles of the triangle

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2. Question 362· Loci· WAEC

   The locus of points in space that are 3 cm from a fixed point P is

   • Aa circle of radius 3 cm
   • Ba sphere of radius 3 cm
   • Ca cylinder of radius 3 cm
   • Da plane 3 cm from P

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3. Question 363· Loci· JAMB

   A wheel rolls along a straight horizontal road. The locus of the centre of the wheel is

   • Aa circle
   • Ba straight line parallel to the road
   • Ca curve touching the road
   • Da single point

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4. Question 364· Loci· JAMB

   A point moves so that it is always 5 units from the origin. The equation of its locus is

   • Ay = 5x
   • Bx + y = 5
   • Cx² + y² = 5
   • Dx² + y² = 25

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5. Question 365· Loci· WAEC

   A goat is tied to a peg by a rope 4 m long. The region it can graze is

   • Aa square of side 4 m
   • Ba circle of radius 4 m and its inside
   • Ca straight line 4 m long
   • Da circle of radius 2 m

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6. Question 366· Loci· JAMB

   The path traced by the tip of the minute hand of a clock is

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

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7. Question 367· Matrices and determinants· JAMB

   If the determinant of [[x, 2], [3, 4]] is 10, find x.

   • A−4
   • B4
   • C1
   • D6

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8. Question 368· Matrices and determinants· JAMB

   The determinant of the matrix with rows (a, b) and (c, d) is

   • Aac − bd
   • Bab − cd
   • Cad − bc
   • Dad + bc

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9. Question 369· Matrices and determinants· JAMB

   Find the inverse of the matrix [[2, 1], [1, 1]].

   • A[[−1, 1], [1, −2]]
   • B[[1, 1], [1, 2]]
   • C[[1, −1], [−1, 2]]
   • D[[2, −1], [−1, 1]]

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10. Question 370· Matrices and determinants· JAMB

    Solve [[1, 1], [1, −1]] × [[x], [y]] = [[5], [1]].

    • Ax = 2, y = 3
    • Bx = 3, y = 2
    • Cx = 5, y = 1
    • Dx = 4, y = 1

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11. Question 371· Matrices and determinants· JAMB

    Evaluate the determinant of [[4, −2], [3, 1]].

    • A−2
    • B10
    • C−10
    • D2

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12. Question 372· Matrices and determinants· JAMB

    Find k if the matrix [[1, 2], [3, k]] has no inverse.

    • A6
    • B−6
    • C3/2
    • D2/3

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13. Question 373· Matrices and determinants· JAMB

    If A = [[2, 0], [0, 3]], find A².

    • A[[4, 0], [0, 9]]
    • B[[4, 0], [0, 6]]
    • C[[2, 0], [0, 3]]
    • D[[4, 6], [6, 9]]

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14. Question 374· Matrices and determinants· JAMB

    If [[2, 0], [0, 2]] × [[x], [y]] = [[4], [6]], find x and y.

    • Ax = 2, y = 3
    • Bx = 4, y = 6
    • Cx = 8, y = 12
    • Dx = 1, y = 1.5

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15. Question 375· Matrices and determinants· JAMB

    A 2 × 3 matrix is multiplied by a 3 × 2 matrix. The order of the product is

    • A3 × 3
    • B2 × 2
    • C2 × 3
    • D3 × 2

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16. Question 376· Matrices and determinants· JAMB

    If A = [[1, −1], [2, 0]], find 3A.

    • A[[4, 2], [5, 3]]
    • B[[3, −1], [2, 0]]
    • C[[3, −3], [6, 0]]
    • D[[1, −3], [6, 0]]

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17. Question 377· Matrices and determinants· JAMB

    Evaluate the determinant of [[5, 2], [3, 4]].

    • A20
    • B26
    • C14
    • D6

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18. Question 378· Matrices and determinants· JAMB

    Find the transpose of [[1, 2], [3, 4]].

    • A[[1, 2], [3, 4]]
    • B[[4, 3], [2, 1]]
    • C[[1, 3], [2, 4]]
    • D[[−1, −2], [−3, −4]]

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19. Question 379· Matrices and determinants· JAMB

    Find the product [[1, 2], [0, 1]] × [[3], [4]].

    • A[[11], [7]]
    • B[[3], [8]]
    • C[[7], [4]]
    • D[[11], [4]]

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20. Question 380· Matrices and determinants· JAMB

    The matrix with rows (x, 4) and (3, x) is singular. Find x.

    • A±2√3
    • B±12
    • C±4
    • D±3

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