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

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.

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

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

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 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 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?

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

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

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

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

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?

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

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?

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

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?

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

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

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

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

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

A class of all possible subsets of space S is called

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

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

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

Which of the following is the formula for range?

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

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

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

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

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

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

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 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 ______.

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

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