A frustum of a pyramid is 3cm square at the top and 6cm square at the bottom and is 5cm high. The volume in cm³ of the frustum is

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

One of these is a demerit of a sample

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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.

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.

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

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

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?

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?

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?

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

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

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

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

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

A class of all possible subsets of space S is called

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?

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?

The lengths of the sides of a right-angled triangle are ym, (3y - 1)m and (3y + 1)m, find y.

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 is the formula for range?