JAMB and WAEC Mathematics questions: Number bases

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

1. Question 41· Number bases· WAEC

   Convert 213 in base four to base ten.

   • A27
   • B39
   • C213
   • D45

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2. Question 42· Number bases· WAEC

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

   • A1101
   • B1111
   • C1011
   • D10101

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   Explanation and discussion

3. Question 43· Number bases· JAMB

   Find x if 132ₓ = 42 (base ten).

   • A4
   • B5
   • C6
   • D8

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4. Question 44· Number bases· WAEC

   Express 213₄ as a number in base ten.

   • A27
   • B37
   • C43
   • D39

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5. Question 45· Number bases· JAMB

   Convert 0.75 (base 10) to base 2.

   • A0.011
   • B0.101
   • C0.11
   • D0.111

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6. Question 46· Number bases· WAEC

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

   • A11000
   • B10110
   • C11100
   • D10100

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7. Question 47· Number bases· JAMB

   Convert 432 (base 5) to base 10.

   • A117
   • B127
   • C107
   • D432

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8. Question 48· Number bases· WAEC

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

   • A8
   • B7
   • C6
   • D5

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9. Question 49· Number bases· WAEC

   Express 87 (base ten) in base five.

   • A322₅
   • B232₅
   • C312₅
   • D342₅

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