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

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

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

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

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

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

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

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?

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

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

One of these is not a desirable feature of a good statistical table

If un = 2, 6, 10, ..., the last tem of the sequence is 90. The number of terms in the sequence is

Which of these is a measure of location?

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

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

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

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

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?

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.

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

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

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

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

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

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

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

Which of the following is the formula for range?

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

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

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?

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

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

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?

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