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

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

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

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?

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

If 35 is the median of the data set including 21, 7, 45, 33, 62 and x, then x =

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

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

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

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

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

Which of the following is the formula for range?

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

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?

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?

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?

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

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

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

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?

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

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?

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

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

The chances of three independent events P, Q, R occurring are $\frac{\mathrm{1/}}{2}$, $\frac{\mathrm{2/}}{3}$,$\frac{\mathrm{1/}}{4}$ respectively. What are the chances of P and Q only occurring?

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

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

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

Rationalize $\frac{(4\sqrt{7}+\sqrt{2})\; /}{(\sqrt{2}-7)}$

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

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

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

If un = 2, 6, 10, ..., the sum of the terms of the sequence above is

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

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?

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

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

Which of these is a measure of location?

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

Find the value of p, if the line which passes through (-1, p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0.