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?

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

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?

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?

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?

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.

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

_________ are used when you want to visually examine the relationship between two quantitative variables.

At what value of x is the function y = x² - 6x - 7 minimum?

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

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

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?

Which of the following is the formula for range?

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?

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

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

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

A class of all possible subsets of space S is called

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

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

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

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. 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?

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

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

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

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?

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

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

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

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

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

Given the list of numbers {1, 6, 3, 9, 16, 11, 2, 9, 5, 7, 12, 13, 8}, what is the median?

Which of these is a measure of location?

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

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

Find the equation of the line through (5,7) parallel to the line 7x + 5y - 5 = 0.

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

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

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