WAEC Mathematics questions: Number bases

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

All topics Binary operations · 13 Coordinate geometry · 20 Euclidean geometry · 26 Fractions, decimals, approximations and percentages · 29 Indices, logarithms and surds · 29 Inequalities · 17 Loci · 12 Mensuration · 27 Number bases · 24 Polynomials · 29 Probability · 23 Progressions · 22 Sets · 22 Statistics · 26 Trigonometry · 26 Variation · 19

Question 1· Number bases· WAEC
Find x if 24ₓ = 18 (base ten).
Explanation and discussion
Question 2· Number bases· WAEC
Multiply 12₃ by 2₃, giving the answer in base three.
Explanation and discussion
Question 3· Number bases· WAEC
Find the value of x if 23ₓ = 13 (base ten).
Explanation and discussion
Question 4· Number bases· WAEC
Subtract 12₅ from 34₅, giving the answer in base five.
Explanation and discussion
Question 5· Number bases· WAEC
Convert 2103 in base four to base ten.
Explanation and discussion
Question 6· Number bases· WAEC
Subtract 1011₂ from 11010₂.
Explanation and discussion
Question 7· Number bases· WAEC
Add 1011₂ and 111₂.
Explanation and discussion
Question 8· Number bases· WAEC
Convert 0.625 (base ten) to base two.
Explanation and discussion
Question 9· Number bases· WAEC
Evaluate 101₂ × 11₂, leaving the answer in base two.
Explanation and discussion
Question 10· Number bases· WAEC
Add 213₄ and 132₄, giving the answer in base four.
Explanation and discussion
Question 11· Number bases· WAEC
Express 47 (base ten) in base five.
Explanation and discussion
Question 12· Number bases· WAEC
Convert 100 in base ten to base eight.
Explanation and discussion
Question 13· Number bases· WAEC
Subtract 34₅ from 102₅.
Explanation and discussion
Question 14· Number bases· WAEC
Convert 45 in base ten to base two.
Explanation and discussion
Question 15· Number bases· WAEC
Convert 101101₂ to a number in base ten.
Explanation and discussion
Question 16· Number bases· WAEC
Multiply 23₅ by 4₅ and give the answer in base five.
Explanation and discussion
Question 17· Number bases· WAEC
In which base is 31 equal to 16 in base ten?
Explanation and discussion
Question 18· Number bases· WAEC
Convert 25 (base ten) to a number in base two.
Explanation and discussion
Question 19· Number bases· WAEC
Convert 213 in base four to base ten.
Explanation and discussion
Question 20· Number bases· WAEC
Multiply 11₂ by 101₂, giving the answer in base two.
Explanation and discussion

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WAEC Mathematics questions: Number bases

Find x if 24ₓ = 18 (base ten).

Multiply 12₃ by 2₃, giving the answer in base three.

Find the value of x if 23ₓ = 13 (base ten).

Subtract 12₅ from 34₅, giving the answer in base five.

Convert 2103 in base four to base ten.

Subtract 1011₂ from 11010₂.

Add 1011₂ and 111₂.

Convert 0.625 (base ten) to base two.

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

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

Express 47 (base ten) in base five.

Convert 100 in base ten to base eight.

Subtract 34₅ from 102₅.

Convert 45 in base ten to base two.

Convert 101101₂ to a number in base ten.

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

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

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

Convert 213 in base four to base ten.

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