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<h2 class="wp-block-heading" id="h-introduction"><strong>Introduction</strong></h2>
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<p>Welcome to today’s Post-UTME Mathematics tutorial. In this lesson, we’ll solve <strong>top mathematics questions</strong> commonly asked in Post-UTME exams across various Nigerian universities. These questions are carefully selected to help you practice calculations in <strong>percentages, profit and loss, and simple arithmetic reasoning</strong>.</p>
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<p>By going through this guide, you’ll gain confidence and sharpen your problem-solving speed for the exam.</p>
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<h2 class="wp-block-heading" id="h-worked-questions"><strong>Worked Questions</strong></h2>
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<h3 class="wp-block-heading" id="h-question-1-percentage-contribution"><strong>Question 1 – Percentage Contribution</strong></h3>
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<p>A man and his wife went to buy an article costing ₦400. The woman had <strong>10% of the cost</strong> and the man had <strong>40% of the remainder</strong>. How much did they have altogether?</p>
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<p><strong>Solution:</strong></p>
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<li>10% of ₦400 = ₦40 (woman’s share).</li>
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<li>Remainder = ₦400 – ₦40 = ₦360.</li>
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<li>40% of ₦360 = ₦144 (man’s share).</li>
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<li>Total = ₦40 + ₦144 = ₦184.</li>
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<p><strong>Answer: ₦184 (Option C)</strong></p>
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<h3 class="wp-block-heading" id="h-question-2-salary-increase"><strong>Question 2 – Salary Increase</strong></h3>
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<p>After receiving a <strong>15% rise</strong>, a man’s new monthly salary is ₦345. How much was his monthly salary before the increase?</p>
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<p><strong>Solution:</strong></p>
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<li>New salary = 115% of original salary.</li>
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<li>So, 115% = ₦345.</li>
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<li>100% = (100 ÷ 115) × 345 = ₦300.</li>
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<p><strong>Answer: ₦300</strong></p>
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<h2 class="wp-block-heading" id="h-more-practice-questions"><strong>More Practice Questions</strong></h2>
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<h3 class="wp-block-heading" id="h-question-3-simple-interest"><strong>Question 3 – Simple Interest</strong></h3>
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<p>A man invested ₦2,000 at 10% per annum for 3 years. What is the simple interest?</p>
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<p>A. ₦200<br>B. ₦300<br>C. ₦600<br>D. ₦500</p>
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<p> <strong>Answer:</strong> C. ₦600<br> Simple Interest = (P × R × T) ÷ 100 = (2000 × 10 × 3)/100 = ₦600.</p>
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<h3 class="wp-block-heading" id="h-question-4-profit-and-loss"><strong>Question 4 – Profit and Loss</strong></h3>
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<p>A trader bought an item for ₦1,500 and sold it for ₦1,800. What is the profit percentage?</p>
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<p>A. 10%<br>B. 15%<br>C. 20%<br>D. 25%</p>
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<p><strong>Answer:</strong> C. 20%<br>Profit = 1800 – 1500 = ₦300.<br>Profit% = (Profit ÷ Cost Price) × 100 = (300/1500) × 100 = 20%.</p>
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<h3 class="wp-block-heading" id="h-question-5-ratio"><strong>Question 5 – Ratio</strong></h3>
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<p>Divide ₦2,400 between Tunde and Bola in the ratio 3:5.</p>
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<p>A. ₦900 and ₦1,500<br>B. ₦800 and ₦1,600<br>C. ₦1,200 and ₦1,200<br>D. ₦1,000 and ₦1,400</p>
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<p><strong>Answer:</strong> B. ₦800 and ₦1,600<br>Total ratio = 3 + 5 = 8 parts.<br>1 part = ₦2400 ÷ 8 = ₦300.<br>Tunde = 3 × ₦300 = ₦900.<br>Bola = 5 × ₦300 = ₦1,500.<br>(Corrected: A is right, ₦900 and ₦1,500).</p>
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<h3 class="wp-block-heading" id="h-question-6-discount"><strong>Question 6 – Discount</strong></h3>
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<p>An article costs ₦2,000 but is sold at a discount of 10%. What is the selling price?</p>
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<p>A. ₦1,800<br>B. ₦1,900<br>C. ₦2,100<br>D. ₦2,200</p>
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<p> <strong>Answer:</strong> A. ₦1,800<br> Discount = 10% of ₦2,000 = ₦200.<br>Selling price = ₦2,000 – ₦200 = ₦1,800.</p>
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<h3 class="wp-block-heading" id="h-question-7-average"><strong>Question 7 – Average</strong></h3>
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<p>The ages of five students are 12, 14, 16, 18, and 20. What is their average age?</p>
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<p>A. 15<br>B. 16<br>C. 17<br>D. 18</p>
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<p><strong>Answer:</strong> B. 16<br>Average = (12+14+16+18+20) ÷ 5 = 80 ÷ 5 = 16.</p>
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<h3 class="wp-block-heading" id="h-question-8-speed-distance-time"><strong>Question 8 – Speed, Distance, Time</strong></h3>
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<p>A car travels 240 km in 4 hours. What is its average speed?</p>
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<p>A. 50 km/h<br>B. 60 km/h<br>C. 70 km/h<br>D. 80 km/h</p>
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<p><strong>Answer:</strong> B. 60 km/h<br>Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h.</p>
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<p>Watch the full tutorial here:<strong><a href="https://youtu.be/WWeahbCwwpY?si=iUU8DzM2z1Uau8zh"> <mark style="background-color:rgba(0, 0, 0, 0);color:#e71313" class="has-inline-color">FULL TUTORIAL</mark></a></strong></p>
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<h2 class="wp-block-heading" id="h-conclusion"><strong>Conclusion</strong></h2>
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<p>Post-UTME Mathematics tests your speed and accuracy in solving <strong>percentages, profit and loss, ratios, averages, and interest calculations</strong>. By practicing questions like these, you can increase your confidence and boost your chances of admission success.</p>
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<p><strong>Related Videos:</strong></p>
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<li><a href="https://allcbts.com/understanding-trigonometry-in-mathematics/">Understanding Trigonometry in Mathematics.</a></li>
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<li><a href="https://allcbts.com/nabteb-mathematics-past-questions-2/">NABTEB Mathematics Past Questions.</a></li>
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<li><a href="https://allcbts.com/jee-mathematics-past-question/">JEE Mathematics Past Question.</a></li>
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<li><a href="https://allcbts.com/neco-mathematics-past-questions/">NECO Mathematics Past Questions.</a></li>
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<li><a href="https://allcbts.com/jupeb-physics-past-questions-2/">JUPEB Physics Past Questions.</a></li>
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<h2 class="wp-block-heading" id="h-keywords"><strong>Keywords</strong></h2>
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<ul class="wp-block-list"><!-- wp:list-item -->
<li>Post-UTME Mathematics past questions and answers</li>
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<li>Likely Post-UTME maths questions 2025</li>
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<li>Simple interest and percentage questions Post-UTME</li>
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<li>Profit and loss Post-UTME solved questions</li>
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<li>Mathematics practice for Post-UTME candidates</li>
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