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

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?

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?

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?

A straight line has a gradient of -2 and passes through the point (4, 1). What is its equation?

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

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

Which of these is a measure of location?

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

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

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

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

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

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?

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

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 12th term of 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. 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?

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

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

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?

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

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

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

Find the distance between points A(-4, 5) and B(-3, 2).

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

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

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

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?

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

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

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

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

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

A class of all possible subsets of space S is called

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?

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?