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Post-UTME Mathematics Likely Questions and Answers

Published on Sep 8, 2025 • Education

Introduction

Welcome to today’s Post-UTME Mathematics tutorial. In this lesson, we’ll solve top mathematics questions commonly asked in Post-UTME exams across various Nigerian universities. These questions are carefully selected to help you practice calculations in percentages, profit and loss, and simple arithmetic reasoning.

By going through this guide, you’ll gain confidence and sharpen your problem-solving speed for the exam.

Worked Questions

Question 1 – Percentage Contribution

A man and his wife went to buy an article costing ₦400. The woman had 10% of the cost and the man had 40% of the remainder. How much did they have altogether?

Solution:

• 10% of ₦400 = ₦40 (woman’s share).
• Remainder = ₦400 – ₦40 = ₦360.
• 40% of ₦360 = ₦144 (man’s share).
• Total = ₦40 + ₦144 = ₦184.

Answer: ₦184 (Option C)

Question 2 – Salary Increase

After receiving a 15% rise, a man’s new monthly salary is ₦345. How much was his monthly salary before the increase?

Solution:

• New salary = 115% of original salary.
• So, 115% = ₦345.
• 100% = (100 ÷ 115) × 345 = ₦300.

Answer: ₦300

More Practice Questions

Question 3 – Simple Interest

A man invested ₦2,000 at 10% per annum for 3 years. What is the simple interest?

A. ₦200
B. ₦300
C. ₦600
D. ₦500

Answer: C. ₦600
Simple Interest = (P × R × T) ÷ 100 = (2000 × 10 × 3)/100 = ₦600.

Question 4 – Profit and Loss

A trader bought an item for ₦1,500 and sold it for ₦1,800. What is the profit percentage?

A. 10%
B. 15%
C. 20%
D. 25%

Answer: C. 20%
Profit = 1800 – 1500 = ₦300.
Profit% = (Profit ÷ Cost Price) × 100 = (300/1500) × 100 = 20%.

Question 5 – Ratio

Divide ₦2,400 between Tunde and Bola in the ratio 3:5.

A. ₦900 and ₦1,500
B. ₦800 and ₦1,600
C. ₦1,200 and ₦1,200
D. ₦1,000 and ₦1,400

Answer: B. ₦800 and ₦1,600
Total ratio = 3 + 5 = 8 parts.
1 part = ₦2400 ÷ 8 = ₦300.
Tunde = 3 × ₦300 = ₦900.
Bola = 5 × ₦300 = ₦1,500.
(Corrected: A is right, ₦900 and ₦1,500).

Question 6 – Discount

An article costs ₦2,000 but is sold at a discount of 10%. What is the selling price?

A. ₦1,800
B. ₦1,900
C. ₦2,100
D. ₦2,200

Answer: A. ₦1,800
Discount = 10% of ₦2,000 = ₦200.
Selling price = ₦2,000 – ₦200 = ₦1,800.

Question 7 – Average

The ages of five students are 12, 14, 16, 18, and 20. What is their average age?

A. 15
B. 16
C. 17
D. 18

Answer: B. 16
Average = (12+14+16+18+20) ÷ 5 = 80 ÷ 5 = 16.

Question 8 – Speed, Distance, Time

A car travels 240 km in 4 hours. What is its average speed?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Answer: B. 60 km/h
Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h.

Watch the full tutorial here: FULL TUTORIAL

Conclusion

Post-UTME Mathematics tests your speed and accuracy in solving percentages, profit and loss, ratios, averages, and interest calculations. By practicing questions like these, you can increase your confidence and boost your chances of admission success.

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1. Understanding Trigonometry in Mathematics.
2. NABTEB Mathematics Past Questions.
3. JEE Mathematics Past Question.
4. NECO Mathematics Past Questions.
5. JUPEB Physics Past Questions.

Keywords

• Post-UTME Mathematics past questions and answers
• Likely Post-UTME maths questions 2025
• Simple interest and percentage questions Post-UTME
• Profit and loss Post-UTME solved questions
• Mathematics practice for Post-UTME candidates