Find the variance of the numbers k, k + 1, k + 2.

Three consecutive positive integers a, b and c are such that b² = 4(a + c). Find the value of c.

A is the point (1, 5), B is the point (4, 7) and C is the point (5, 2). Triangle ABC is

The lengths of the sides of a right-angled triangle are ym, (3y - 1)m and (3y + 1)m, find y.

Find all the values of $x$ satisfying the inequality $-14\le 4-3x\le 31$

One of these is not a desirable feature of a good statistical table

The line y = 5x – 3 and y = 2x + 9 intersects at P. What are the coordinates of P?

Statistics is a set of tools whose proper use will _______ the decision maker.

Justice starts a 5km walk from P on a bearing 0230. He then walks 4km on a bearing of 1130 to Q. What is the bearing of Q from P?

What is sin 30${}^{}$?

If x and y are two real numbers such that 3x + 2y = 5 and 5x + 4y = 9, then 4x + 3y =

The roof of a shelter is made from a piece of corrugated iron 2.3m long inclined at 18º to the horizontal. How far from the wall does the roof stick out?

Paul and his friend, Peter went to buy an article costing ₦600. Peter had 10% of the cost and Paul, 40% of the remainder. How much did they have altogether?

Find the point on the Euclidean plane where the curve y = 2x² - 2x + 9 has 2 as gradient.

What is the slope of the line that is perpendicular to y - 2x = 1?

P is the point (3, 5). Q is the point (-1, 9). R is the midpoint of PQ. Which one of the following lines does R lie on?

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the sum of the first 12 terms of the sequence is

If un = 2, 6, 10, ..., the 12th term of the sequence is

A rectangular box with a square base and no top has a volume of 500 cm, the dimensions of the box that require the least amount of material are

AAUA allocations to various faculties in a school budget are as follows:

Science: ₦35,000,000.00
Education: ₦25,000,000.00
Law: ₦20,000,000.00
Social and Management: ₦20,000,000.00.
In a pie chart to represent this information, the corresponding angle to science is

Mr. Robson bought bags of orange for ₦2,500 each. He sold them for ₦90,000 at a loss of 20%. How many bags of orange did he buy?

A frustum of a pyramid is 3cm square at the top and 6cm square at the bottom and is 5cm high. The volume in cm³ of the frustum is

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. After how many sessions does Ann swim 50 lengths for the first time?

The ______ is the value you calculate when you want the arithmetic average.

A dealer increased the price of an item by 20%, and then increased the price of the same item by 30%. If x is the original price, what is the price after the two increases?

Find the principal which amounts to ₦4,400 at simple interest in 5 years at 2% per annum

P is the point (2, 7) and Q is the point (6, 3). What is the gradient of PQ?

Two dice are thrown. What is the probability that the sum of the two numbers obtained is greater than 10?

A housewife bought five yams at Y34 per yam and three oranges at Y5 each where Y is the currency reckoned in base six. The total amount spent by the housewife is

If un = 2, 6, 10, ..., the last tem of the sequence is 90. The number of terms in the sequence is

A company employs 100 people, 65 of whom are men. 60 people including all the women are paid weekly. The number of the men that are paid weekly is

No of children: 0, 1, 2, 3, 4, 5, 6
No of families: 7, 11, 6, 7, 7, 5, 3
Find the mode and median respectively of the distribution above.

The second and fifth terms of a geometric progression a 21 and 567 respectively. Find the first time and the common ratio of the progression.

In a class, 120 students speak English or French or both. 70 speak English and 55 speak French. How many speak English but not French?

Which of the following is the formula for range?

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2.

If y = 5cos(-6x), dx/dy is

Tunse bought a house for ₦1,250,000.00 and spent ₦350,000.00 to renovate it. He then sold the house for ₦2,000,000.00. What is the percentage gain?

The heights in cm, of 10 children are 145, 163, 159, 162, 167, 149, 150, 160, 170, and 155. The standard deviation of the heights of the children is

What is the sum of the first 40 even positive integers?