FUNAAB Mathematics 2020/2021 Past Questions

The cost of renovating a 6m square room is N540. What is the cost of renovating a 9m square room?

The solution of the quadratic inequality (x² + x - 12) ≥ 0 is

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have to sell the article to make a profit of 26%?

Find the sum of the first 18 terms of the series: 3, 6, 9,...., 36

Solve for x and y in the equations below: x² - y² = 4, x + y = 2

The fifth term of the arithmetic progression of an A.P is 24 and the eleventh term is 96. Find the first term

Simplify 0.000215 × 0.000028 and express your answer in standard form

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x

The volume of a pyramid with the height 15cm is 90cm². If its base is a rectangle with dimensions xcm by 6cm, find the value of x

The diagonal of a square is 60cm. Calculate its perimeter.

Find the value of m if 3m + 24m = 41m

A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest child got 25%. How much was the father's monthly income if the second child got N3000?

If x varies inversely as y and y varies directly as z, what is the relationship between x and y?

The ratio of the sides of two similar rectangular blocks is 5:3. If the volume of the smaller block is 324cm², that of the other block is

The average age of the three children in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family is

How many different three-digit numbers can be formed using the integers 1 to 6, if no integer occurs twice in a number?

The rate of ice formation in the freezer compartment of a refrigerator is (2 - 0.3t)g per min; where t is the time in minutes. If there was initially 10g of ice in the ice-maker, the mass of ice present after 10 minutes is

A polynomial in x whose zeros are 2, -1 and 3 is

Divide 2434₆ by 42₆

A regular polygon with (2m + 1) sides has each interior angle equal to 144°. The value of m is

A photograph is to be taken of five people including a married couple. If the married couple insist on sitting next to each other, the number of different arrangements is

If x - 1, x, x + 2 form a geometric sequence, then the value of x is

If the 7th term of an AP is twice the first term and the sum of the first four terms is 42, find the common difference

An examiner has five envelopes labeled A to E for each of the five options of a question paper. In how many ways can the examiner place one option of the question in each envelope without getting every option in the envelope?

If dy/dx = x + cosx, find y

If 2cos²θ = -cosθ and 0 < 180°, then θ is

In a class of 54 students, each student offers at least one of English and French. If the sum of those that offer both subjects is half the number that offer English only and the number that offer French only is twice the number that offer both subjects, find the number of students that offer English only

Find the first derivative of y = 3cos²4x is

The integral of 3x - 2 which passes the point (1, -5/6) is

Make x the subject of the relation y = 3 - lnx

Find the coordinates of the mid--point of the line joining (2, 7) and (1, -6)

When a polynomial f(x) is divided by 2x - 3, the quotient is x² - x + 2 and the remainder is -1. Find f(x)

A binary operation * on the set of rational numbers is defined as
x * y = 2x + (x² - y³) / (x + y), find -1 * 2

Find the range of value of x for which 7x - 3 > 3x + 4

A bag contains 4x First bank ATM cards, (2x - 1), UBA bank ATM cards and 3(x + 1), Zenith bank ATM cards. If the probability of picking a First bank ATM is 2/5; how many UBA bank ATM cards are in the bag?

Find the coordinates of the turning points of the curve, y = 27x³ - 27x² + 4

A student dropped an object from a building 100m high. If the height of the object above the ground after t seconds is 100 + 4.9t²m, how fast is it falling 3 seconds after it is dropped?

If x - 2 is a factor px³ + 2x² - 2p + 12, find the value of p

If the mean of the numbers 4, 3, 5, x, 7 is 5, find the variance

If y = 2cos(3x - π), then dy/dx is

Find the equation of the line which passes through (-2, 1) and is perpendicular to the line 4x - 2y + 1 = 0

Evaluate ∫_-4⁰ √(1 - 2x)dx

If y = (1 + 2x)³, find dy/dx at x = -1

Given that p:g = 1/3 : 1/2 and q:r = 2/5 : 4/7. Find p:r

The roots of y² - y - 12 = 0 are

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

Find the slope of the curve y = 3x³ + 5x² - 3 at (-1, 5)

Three times the second term plus the seventh term of an AP is equal to the twelfth term. Find the relationship between the first term a and the common difference

Find the locus of a point which moves such that its distance from the line y = 3 is a constant k

Calculate the standard deviation of the following data 7, 8, 9, 10, 11, 12, 13