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

One of these is a demerit of a sample

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

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

A class of all possible subsets of space S is called

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

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?

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

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

In a class, 120 students speak English or French or both. 70 speak English and 55 speak French. How many speak English but not French?

Which of the following is the formula for range?

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

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?

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 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

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

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

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

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

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

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?

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

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

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

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

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?

No of children: 0, 1, 2, 3, 4, 5, 6
No of families: 7, 11, 6, 7, 7, 5, 3
Find the mode and median respectively of the distribution above.

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 second and fifth terms of a geometric progression a 21 and 567 respectively. Find the first time and the common ratio of the progression.

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

If un = 2, 6, 10, ..., the last tem of the sequence is 90. The number of terms in the sequence 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. After how many sessions does Ann swim 50 lengths for the first time?

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

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 sin 30${}^{}$?

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

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

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?