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?

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?

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

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

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

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

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

As a general rule, the _______ is the best measure of central tendency because it is more precise.

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

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

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

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

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

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.

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

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

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?

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

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

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

Which of the following is the formula for range?

The graph of cumulative frequency distribution is called

One of these is a demerit of a sample

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

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

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?

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 class of all possible subsets of space S is called

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

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 sum of the terms of the sequence above is

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

Which of these is a measure of location?

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. 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?

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?

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

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