Introduction

Mathematics is one of the most important subjects in the General Certificate Examination (GCE) and other external exams. Many students struggle with logarithms, algebra, and word problems. Practicing solved questions is the best way to prepare for success.

This guide presents solved logarithm and arithmetic problems, along with generated practice multiple-choice questions to strengthen your preparation.

Worked Example – Logarithm Problem

Answer: 3290

Question 1 – Indices

When multiplying numbers with the same base, add their powers: 3+4 = 7.

Question 2 – Quadratic Equation

Answer: C. 2 and 3
Factorize: (x−2)(x−3)=0(x-2)(x-3) = 0(x−2)(x−3)=0. Thus, x = 2 or 3.

Question 3 – Percentages

A man’s salary increased from ₦40,000 to ₦50,000. What is the percentage increase?

A. 20%
B. 22%
C. 25%
D. 30%

Answer: C. 25%
Increase = ₦10,000. Percentage = (10,000 ÷ 40,000) × 100 = 25%.

Question 4 – Ratio

Divide ₦6,000 between Tunde and Bola in the ratio 2:3.

A. ₦2,000 and ₦4,000
B. ₦2,400 and ₦3,600
C. ₦3,000 and ₦3,000
D. ₦1,500 and ₦4,500

Answer: B. ₦2,400 and ₦3,600
Total ratio = 5. One part = ₦1,200. Tunde = 2×1200, Bola = 3×1200.

Question 5 – Simple Interest

Find the simple interest on ₦5,000 at 8% per annum for 3 years.

A. ₦800
B. ₦900
C. ₦1,200
D. ₦1,000

Answer: C. ₦1,200
SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = ₦1,200.

Question 6 – Probability

A bag contains 3 red, 2 blue, and 5 green balls. If one ball is picked at random, the probability that it is red is:

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Question 7 – Geometry (Area of Triangle)

Question 8 – Arithmetic Progression (AP)

Question 9 – Simultaneous Equations

Question 10 – Surds (Rationalize)

Watch the full tutorial here: FUL L TUTORIAL

Conclusion

GCE Mathematics focuses on topics such as logarithms, percentages, ratios, quadratic equations, and indices. Practicing past and likely questions is the best way to boost your speed and accuracy.

In summary, consistent revision and daily practice of solved examples will help you score higher in Mathematics

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Likely GCE Mathematics Questions and Answers

Introduction