WAEC Mathematics questions

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

1. Question 181· Number bases· WAEC

   Convert 0.625 (base ten) to base two.

   • A0.110₂
   • B0.011₂
   • C0.101₂
   • D0.111₂

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2. Question 182· Number bases· WAEC

   Evaluate 101₂ × 11₂, leaving the answer in base two.

   • A1101₂
   • B1011₂
   • C1111₂
   • D1110₂

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3. Question 183· Number bases· WAEC

   Add 213₄ and 132₄, giving the answer in base four.

   • A1010₄
   • B345₄
   • C1101₄
   • D1011₄

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4. Question 184· Number bases· WAEC

   Express 47 (base ten) in base five.

   • A124
   • B241
   • C142
   • D412

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5. Question 185· Number bases· WAEC

   Convert 100 in base ten to base eight.

   • A140
   • B124
   • C64
   • D144

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6. Question 186· Number bases· WAEC

   Subtract 34₅ from 102₅.

   • A23₅
   • B13₅
   • C12₅
   • D22₅

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7. Question 187· Number bases· WAEC

   Convert 45 in base ten to base two.

   • A101011
   • B110101
   • C101101
   • D100101

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8. Question 188· Number bases· WAEC

   Convert 101101₂ to a number in base ten.

   • A54
   • B43
   • C47
   • D45

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9. Question 189· Number bases· WAEC

   Multiply 23₅ by 4₅ and give the answer in base five.

   • A202₅
   • B142₅
   • C212₅
   • D220₅

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10. Question 190· Number bases· WAEC

    In which base is 31 equal to 16 in base ten?

    • A6
    • B4
    • C5
    • D3

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11. Question 191· Number bases· WAEC

    Convert 25 (base ten) to a number in base two.

    • A10011₂
    • B11001₂
    • C11010₂
    • D10101₂

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12. Question 192· Number bases· WAEC

    Convert 213 in base four to base ten.

    • A27
    • B39
    • C213
    • D45

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13. Question 193· Number bases· WAEC

    Multiply 11₂ by 101₂, giving the answer in base two.

    • A1101
    • B1111
    • C1011
    • D10101

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14. Question 194· Number bases· WAEC

    Express 213₄ as a number in base ten.

    • A27
    • B37
    • C43
    • D39

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15. Question 195· Number bases· WAEC

    Add 1101₂ and 1011₂, giving the answer in base two.

    • A11000
    • B10110
    • C11100
    • D10100

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16. Question 196· Number bases· WAEC

    Find the value of x if 23ₓ = 17 (base ten).

    • A8
    • B7
    • C6
    • D5

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17. Question 197· Number bases· WAEC

    Express 87 (base ten) in base five.

    • A322₅
    • B232₅
    • C312₅
    • D342₅

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18. Question 198· Polynomials· WAEC

    If (x + 3) is a factor of x² + kx − 6, find k.

    • A−5
    • B−1
    • C3
    • D1

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19. Question 199· Polynomials· WAEC

    Solve simultaneously: 2x + 3y = 13 and x − y = −1.

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

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20. Question 200· Polynomials· WAEC

    Factorise x² + 9x + 14.

    • A(x − 2)(x − 7)
    • B(x + 1)(x + 14)
    • C(x + 2)(x + 7)
    • D(x + 3)(x + 6)

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