Common Entrance Mathematics (Opal)

Write in words 9,854,362

What is the sum of 21.084kg, 9kg, 460g and 920g?

Ten boarders have enough food for 6 days. How long will the same food last 15 boarders, if they eat at the same rate?

A man bought a house for ₦3,600. He repaired the house for ₦150. If he sold the house for ₦4,950. Find the percentage profit.

What is the smallest number that can be divided by 3, 9, or 12 without a remainder?

Remove brackets from 5(4x – r) – 7(2x – 3r).

If 5 meters of cloth cost ₦32.80. what would be the cost of 8 meters at the same rate?

What fraction of 1,000 is 625 in its lowest terms?

Evaluate 5.48 x 2.45 (answer to 2 decimal places).

Express 1/4 in percentage

Simplify 7g + (3g + 4h).

If P= 7, Q= 5, R= 3.  Find the value of P²+ 2Q²– R²

Evaluate 7 x + 17 = 52

What percentage of 0.75 is 0.45

Find the time which will yield simple interest of  ₦1800 on ₦2400 at the rate of 5% per annum?

Find the radius of a cirle whose area is 154cm²

How many times can 0.05 be obtained in 85?

Write the following without brackets; (6a – b) + (c – 4d).

What is the value of y in ¾ = 12/y

Convert 40% to a fraction and multiply the result by 25.

Find the value of 16 × 2 – 3 + 14 ÷ 7.

One quarter of a number is 72. What is the number?

A man paid  ₦135.00 for 3 minutes to make a phone call. How much would he have to pay for 7 minutes’ call?

Find the value of the side marked y in the diagram below?

A car leaves Lagos at 11:30am and arrives Jos in two hours fifteen minutes. What time does it get to Jos?

Mundi and pam are to share the sum of ₦4200.00 in the ratio 3:4. How much does mundi get?

Find the value of X in the figure below.

What is the capacity of 37 drums if each drum contains 648 liters of palm oil?

Express 98 days in weeks.

Find the area of the shape below:

Simplify x²-y² when y = 6 and x= 7

Mary is 27 years old now. What was her age n years ago?

Express 36km in metres.

Find the difference between the LCM of 21 and 28 and the HCF of 18 and 45.

Add together 23 + 0.06 + 3.2 + 0.8.

Simplify 81 ÷ 9 – 7 + 1 + 24 ÷ 4.

In an examination, 12 1/2  percent of the candidates who sat for the examination failed, what percentage of candidates passed?

A boy whose salary is  ₦112.50 a year receives an increase of 60 percent. Find his new salary.

What does the digit 3 stand for in 743,124,928.

Find the HCF of 2²x3³x5 and 2²x3 ³X 7.

Find the area of the figure below

Simplify 8v × 2 + 5v ÷ 5 – 12v.

How many hours are there in one week and four days?

Simplify 2b + (3b – 4c).

Simplify 7a × 2 + 5 × 8a – 6a × 9.

Simplify 30pq ÷ 6.

The sum of the ages of 8 children is 82 years, what will be their age in 6 years time.

A hall 16 meters by 6 meters is covered with a carpet leaving a margin of 1 meter along the length and 2 metres along the width. Find the area of the uncovered area?

A transport company sells its shares at 50k each in multiples of 100. How many shares can be bought with  ₦1500?