JAMB and WAEC Mathematics questions

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

1. Question 381· Matrices and determinants· JAMB

   If A = [[2, 1], [3, 4]], find A².

   • A[[4, 2], [6, 8]]
   • B[[4, 1], [9, 16]]
   • C[[7, 5], [18, 16]]
   • D[[7, 6], [18, 19]]

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2. Question 382· Matrices and determinants· JAMB

   Find the inverse of the matrix with rows (3, 1) and (5, 2).

   • Arows (−2, 1) and (5, −3)
   • Brows (2, 1) and (5, 3)
   • Crows (2, −1) and (−5, 3)
   • Drows (3, −1) and (−5, 2)

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3. Question 383· Matrices and determinants· JAMB

   Find the inverse of [[3, 1], [5, 2]].

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

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4. Question 384· Matrices and determinants· JAMB

   The matrix [[2, x], [x, 8]] is singular. Find x.

   • A±2
   • B4 only
   • C±4
   • D16

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5. Question 385· Matrices and determinants· JAMB

   Solve 2x + 3y = 13 and x − y = −1.

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

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6. Question 386· Matrices and determinants· JAMB

   Evaluate the determinant of [[1, 0, 0], [0, 2, 0], [0, 0, 3]].

   • A1
   • B0
   • C5
   • D6

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7. Question 387· Matrices and determinants· JAMB

   P is a 2 × 3 matrix and Q is a 3 × 4 matrix. The product PQ is

   • Aa 2 × 4 matrix
   • Ba 3 × 3 matrix
   • Ca 4 × 2 matrix
   • Dnot defined

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8. Question 388· Matrices and determinants· JAMB

   Find the determinant of the matrix [[2, 3], [1, 4]].

   • A11
   • B5
   • C8
   • D−5

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9. Question 389· Matrices and determinants· JAMB

   If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], find A + B.

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

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10. Question 390· Matrices and determinants· JAMB

    A has rows (1, 2) and (3, 4). Find A².

    • Arows (2, 4) and (6, 8)
    • Brows (1, 4) and (9, 16)
    • Crows (7, 10) and (15, 22)
    • Drows (7, 15) and (10, 22)

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11. Question 391· Matrices and determinants· JAMB

    Evaluate the determinant of [[3, −1], [2, 5]].

    • A17
    • B13
    • C−17
    • D7

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12. Question 392· Mensuration· JAMB

    Find the total surface area of a closed cylindrical drum of diameter 14 cm and height 20 cm. [π = 22/7]

    • A3,080 cm²
    • B880 cm²
    • C1,034 cm²
    • D1,188 cm²

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13. Question 393· Mensuration· WAEC

    A circular track has a diameter of 70 m. One lap round it measures (π = 22/7)

    • A110 m
    • B220 m
    • C440 m
    • D3,850 m

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14. Question 394· Mensuration· WAEC

    A cuboid measures 5 cm by 4 cm by 3 cm. Find its total surface area.

    • A120 cm²
    • B60 cm²
    • C47 cm²
    • D94 cm²

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15. Question 395· Mensuration· WAEC

    Find the volume of a cylinder of radius 3.5 cm and height 10 cm. [π = 22/7]

    • A220 cm³
    • B385 cm³
    • C110 cm³
    • D770 cm³

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16. Question 396· Mensuration· WAEC

    Find the area of a triangle with base 12 cm and height 7 cm.

    • A42 cm²
    • B84 cm²
    • C19 cm²
    • D38 cm²

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17. Question 397· Mensuration· WAEC

    Find the area of a trapezium with parallel sides 6 cm and 10 cm and height 4 cm.

    • A40 cm²
    • B64 cm²
    • C32 cm²
    • D20 cm²

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18. Question 398· Mensuration· WAEC

    Find the volume of a cylinder of radius 3 cm and height 7 cm. (Take π = 22/7)

    • A66 cm³
    • B198 cm³
    • C132 cm³
    • D462 cm³

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19. Question 399· Mensuration· JAMB

    A sector of a circle of radius 7 cm subtends an angle of 72° at the centre. Find its perimeter. (Take π = 22/7.)

    • A8.8 cm
    • B22.8 cm
    • C30.8 cm
    • D15.8 cm

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20. Question 400· Mensuration· WAEC

    Find the total surface area of a cube of edge 5 cm.

    • A125 cm²
    • B150 cm²
    • C25 cm²
    • D100 cm²

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    Explanation and discussion