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

A straight line has a gradient of -2 and passes through the point (4, 1). What is its equation?

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

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

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. If Ann asks her friend Joy to come swimming with her, Joy starts coming at Sue’s 8th session. Joy starts to swim 15 lengths and increases the number of the lengths by 5 each time. After how many of Joy’s sessions does she swim the same number of lengths as Ann?

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?

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

List the integral values of which satisfy the inequality $-2<7-3x\le 10$.

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the first term and common difference are

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

Which of the following points does not lie on the line 2y + 5x -4 = 0?

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

The most frequently occurring number in a set of values is called the ______.

What is the length of an arc of a circle with a radius of 5 if it subtends an angle of 60° at the center?

A chord 6.6m long is 5.6m from the centre of a circle. The radius of the circle is

If x and y represent the mean and the median respectively of the following marks of students in a Mathematics test; 11, 12, 13, 14, 15, 16, 17, 18, 19, 21. Find x/y correct to 1 decimal place.

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. Ann decides she will give herself a reward
when she has swum a total of 400 lengths. After how many sessions does she get her reward?

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

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

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

Divide the L.C.M. of 36, 54 and 90 by their HCF.

Find the distance between points A(-4, 5) and B(-3, 2).

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

Which of these is a measure of location?

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

A straight line has the equation 10y = 3x + 15. Which of the following is true?

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

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

The _______ is often the preferred measure of central tendency if the data are severely skewed.

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

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

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

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

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

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

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

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?

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?

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.

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?