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?

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

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

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

In a survey of villagers, it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt. If 5% have been to both cities, then the percentage that have visited neither Kano nor Port Harcourt is

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.

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

A _______ variation is one whose values convey the concept of attribute rather than number.

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?

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

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

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

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

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

The graph of cumulative frequency distribution is called

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

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

A ladder resting on a vertical wall makes an angle whose tangent is 2.5 with the ground. If the distance between the foot of the ladder and the wall is 60 cm, what is the length of the ladder?

If x = 2, then (x - 1)(2x - 3) =

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

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

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

One of these is a demerit of a sample

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

Find the sum to infinity of the following series 3 + 2 + 4 + 4/3 + 8/9 + 16/27 + ......

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

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

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

In an arithmetic sequence with 25 terms, if the first term is 60 and last term is -12 the common difference is

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 sum of the first 20 terms of the progression 3, 6, 12, ... is

In an arithmetic sequence with 25 terms, if the first term is 60 and last term is -12, the sum of the terms of the sequence is

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

The length of a rectangle is three times its width. If the perimeter is 72 cm, the width of the rectangle 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?

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

A ladder 20m long rests against a vertical wall so that the foot of the ladder 9m from the wall. The height (correct to 1 decimal place above the ground at which the upper end of the ladder touches the wall is