FUNAAB Mathematics 2019/2020 Past Questions

Convert 27₁₀ to another number in base three

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

Find the value of x if 3(2^x) = 24

An article bought for N8.75 was sold for N46.65. What is the percentage loss?

If log x = 2.3675 and log y = 0.9750, find x + y, correct to three significant figure.

The difference between the length and width of a rectangle is 6cm and the area is 135cm². What is the length?

A baking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked using 24.5kg of a mixture of sugar and flour. How much sugar was used?

Factorize the following expression:
2x² + x - 15

Evaluate (101.2)² - (100.5)²

The interior angles of a pentagon are (2x + 5)°, (x + 20)°, x°, (3x - 20)° and (x + 15)°. Find the value of x

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

Make c the subject of the equation a(b + c) + (5/d) - 2 = 0

A man and his wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?s

What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 17

For what value of the expression (y + 2)(y² - 3y - 10) of y is the equation undefined?

If x² - 6x + n = 0 has coincident roots, the value of n is

Two perfect dice were thrown together. Determine the probability of obtaining a total score of 8

What are the integral values of x which satisfy the inequality -1 < 3 - 2x = 5?

Find all real numbers x which satisfies the inequality 1/3(x + 1) - 1 > 1/5(x + 4)

If the 39th term of an arithmetic progression is 141, what is the first term if the common difference is 2?

The 2nd and 5th terms of a geometric progression are 24 and 81 respectively. Find the common ratio.

A binary operation * on the set of ratonal numbers is defined as x * y = (x² - y²)/2xy. Find -5 * 3.

3 girls share a number of apples in the ratio 5:3:2. If the highest share is 40 apples, find the smallest share.

A final examination requires that a student answer 4 out of 6 questions. In how many ways can this be done?

Find the area of the figure bounded by the given pair of curves y = x² - x + 3 and y = 3

Find the coordinates of the midpoint of the line joining (3, 4) and (-1, 10)

Two lines PQ and ST intersect at 75°. The locus of points lies on the

The weight Wkg of metal bar varies jointly as its length L metres and the square of its diameter d meters. If W = 140, when d = 4²⁄₃ and L = 54, find d in terms of W and L

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. [Take π = 22/7]

From the top of a building 10m high, the angle of depression of a stone lying on the horizontal ground is 69°. Calculate, correct to 1 decimal place, the distance of the stone from the foot of the building.

Find the total area of the surface of a solid cylinder base radius is 4cm and height is 5cm

Find the turning point of the functions 2x³ + 3x² - 36x + 10

Find the gradient of the line passing through the point (-2, 0) and (0, 4)

At what value of x is the function y = x² - 2x - 3 minimum?

What is the point of intersection between the line y = 3x + 2 and 2x + 3y = 17?

A ladder 9m long,leans against a vertical wall making an angle of 64° with the horizontal ground. Calculate, correct one decimal place, how far the foot of the ladder is from the wall.

The value of sin 300° is

Without using tables find the value of cos 105°

If sin θ = 1/3, and θ is acute, find the value of tan θ

The maximum value of the function f(x) = 2 + x - x² is

Find the derivative of (2 + 3x)(1 - x) with respect to x.

Find the derivative of the function y = 2x²(2x - 1) at the point x = -1

Determine the maximum value of y = 3x² - x³

Evaluate ∫₀^π/2 sin 2x dx

The value of lim_{x --> 0} 1 - cosx / 1 - sinx is

The variance of a given distribution is 25. What is the standard deviation?

Find the mean deviation of 1, 2, 3, and 4

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and median number

In how many ways can 3 boys and girls sit in the row, if just the girls are to sit together?

The probability of an event P is 3/4 while that of another event Q is 1/6. If the probability of both P and Q is 1/2. What is the probability of either P or Q?