Common Entrance Mathematics: Fractions, decimals and percentages
Add and multiply fractions, work with decimals and find percentages of an amount. 20 original, exam-style questions with worked answers.
Read every question with its answer and working.
Question 1 of 20
What is 3/4 + 1/8?
Answer: B. 7/8. 3/4 = 6/8, and 6/8 + 1/8 = 7/8.
Question 2 of 20
What is 5/6 − 1/3?
Answer: A. 1/2. 1/3 = 2/6, so 5/6 − 2/6 = 3/6 = 1/2.
Question 3 of 20
What is 2/3 × 9/10?
Answer: D. 3/5. (2 × 9)/(3 × 10) = 18/30 = 3/5.
Question 4 of 20
What is 3/5 ÷ 3/10?
Answer: C. 2. Flip the second fraction and multiply: 3/5 × 10/3 = 30/15 = 2.
Question 5 of 20
What is 1 3/4 + 2 1/2?
Answer: B. 4 1/4. 1 3/4 + 2 2/4 = 3 5/4 = 4 1/4.
Question 6 of 20
Write 7/8 as a decimal.
Answer: A. 0.875. 7 ÷ 8 = 0.875.
Question 7 of 20
What is 0.4 × 0.5?
Answer: D. 0.2. 4 × 5 = 20, and there are two decimal places in total, so the answer is 0.20 = 0.2.
Question 8 of 20
What is 12.6 ÷ 0.3?
Answer: C. 42. Multiply both numbers by 10: 126 ÷ 3 = 42.
Question 9 of 20
What is 3.25 + 4.8?
Answer: B. 8.05. Line up the decimal points: 3.25 + 4.80 = 8.05.
Question 10 of 20
Which of these is the largest?
Answer: A. 5/8. As decimals: 0.6, 0.625, 0.55 and 0.59. The largest is 5/8.
Question 11 of 20
Write 35% as a fraction in its simplest form.
Answer: D. 7/20. 35% = 35/100. Divide top and bottom by 5 to get 7/20.
Question 12 of 20
What is 15% of ₦2,000?
Answer: C. ₦300. 10% of 2,000 is 200 and 5% is 100. So 15% is 200 + 100 = ₦300.
Question 13 of 20
A ₦4,000 shirt is reduced by 25%. What is the new price?
Answer: B. ₦3,000. 25% of 4,000 is 1,000. So 4,000 − 1,000 = ₦3,000.
Question 14 of 20
Write 18 out of 24 as a percentage.
Answer: A. 75%. 18/24 = 3/4 = 75%.
Question 15 of 20
After a 20% discount a bag costs ₦2,400. What was the price before the discount?
Answer: D. ₦3,000. ₦2,400 is 80% of the old price. 80% = 2,400, so 10% = 300 and 100% = ₦3,000.
Question 16 of 20
Increase ₦5,000 by 12%.
Answer: C. ₦5,600. 10% of 5,000 is 500 and 2% is 100, so 12% is 600. 5,000 + 600 = ₦5,600.
Question 17 of 20
Which fraction is equal to 0.125?
Answer: B. 1/8. 0.125 = 125/1000 = 1/8.
Question 18 of 20
Which fraction lies between 1/3 and 1/2?
Answer: A. 2/5. As decimals: 1/3 ≈ 0.33 and 1/2 = 0.5. Only 2/5 = 0.4 is in between.
Question 19 of 20
What is 2/5 of 60 pupils?
Answer: D. 24. 60 ÷ 5 = 12, and 2 × 12 = 24.
Question 20 of 20
A tank is 3/4 full and holds 90 litres. How many litres can it hold when full?
Answer: C. 120. 3/4 is 90 litres, so 1/4 is 30 litres and the full tank is 4 × 30 = 120 litres.
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Common Entrance questions parents ask
What is the Common Entrance examination?
It is the entrance exam Primary 6 pupils take to move on to secondary school in Nigeria. The National Common Entrance Examination (NCEE) is used for the Federal Unity Colleges, and many states and schools set their own. Papers, subjects and dates differ between exam bodies and from year to year, so always check your child’s exam for the current format.
Which areas do these worksheets cover?
Mathematics, English, quantitative reasoning, verbal reasoning and general knowledge (basic science, social studies and civic education). Each area has worksheets of 20 questions with worked answers.
Are these the real past questions?
No. They are original, exam-style practice questions with worked answers, written to build the same skills. They are not copies of past papers.
How do Answers, Practice and Test yourself differ?
Answers shows every question with its answer and working. Practice shows if you are right straight after each question. Test yourself hides the answers until you have answered all 20, then shows your score and every answer.
What does “ready” mean?
Scoring 16 out of 20 (80%) or more in a test. Your best score is saved in this browser. It is a practice guide and not a prediction of an exam result.
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No. Hour of Math is independent and is not affiliated with any examination body.