UNILAG Mathematics 2014/2015 Past Questions

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

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

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

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?

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

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

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

```If U<sub>n</sub> = 2, 6, 10, ...,``` the 12th term of the sequence is

The last tem of the sequence is 90. The number of terms in the sequence is

The sum of the terms of the sequence is

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

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

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

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the sum of the first 12terms 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. After how many sessions does Ann swim 50 lengths for the first time?

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?

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 Ann'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 dealer increased the price of an item by 20%, then increased the price of the same item by 30%. If x is the original price, what is the price after the two increases?

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

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

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

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

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

Which of the following is the formula for range?

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

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

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

A rectangular box with a square base and no top has volume of 500 cm, the dimensions of the box that require the least amount of material are

The volume of the region bounded by the y-axis, y = 4 and $$y = x^2$$ is

A newspaper article reported that "Children who routinely compete in vigorous after-school sports on hazy days are three times more likely to get asthma than their non-athletic peers." Of the following, which is the most important additional information that would be useful before making a decision about participation in school sports?

The roof of a shelter is made from a piece of corrugated iron 2.3m long inclined at 18° to the horizontal. How far from the wall does the roof stick out?

A ladder 20m long rests against a vertical wall so that the foot of the ladder 9m from the wall. The height (correct to 1 decimal place above the ground at which the upper end of the ladder touches the wall is

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

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

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

Express 10.011_two in decimal

A class of all possible subsets of space S is called

One of these is a demerit of a sample

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

Which of these is a measure of location?

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

The graph of cumulative frequency distribution is called

A ......... variation is one whose values convey the concept of attribute rather than number

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

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 PortHarcourt is

If the sides of a triangle are of equal units. then the triangle is

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

The capacity in litres of bucket 24cm in diameter at the top, 16cm in diameter at the bottom and 20cm deep is

The area in cm² of material required for a lampshade in the form of a frustum of a cone which top and bottom diameters are 20cm and 30cm respectively, and the vertical height is 12cm 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