FUNAAB Mathematics 2021/2022 Past Questions

A rectangular picture 7cm by 9cm is enclosed by a frame 1/2cm wide. Calculate the area of the frame

A pyramid is constructed on a cuboid. the figure has

A cylinder of height h ad radius r is open at one end. its surface area is

In a soccer competition in one season, a club had scored the following goals:0,1,1,0,4,2,0,1,1,2,3,4,3,1,0,1,2,3,1,0. The mean, median and mode respectively

A number is selected at random between 10 and 20 both numbers inclusive. Find the probability that the number is a prime

The chances of 3 independent events X,Y,Z, occurring are $$\frac14, \frac25, \frac13$$ respectively. What are the chances of X and Y only occurring

Find the radius of a circle in which an arc of length 44cm subtends an angle of 200° at the centre of the circle. (Take π = 22/7)

Evaluate (0.13)² correct to three significant figures

Simplify 11011₂ - 1101₂

Simplify $${\frac{x-4}4} - {\frac{x-3}6}$$

Find the next number in the series 1, 2, 9, 28, 65 ____

A shop gives 10% discount on the purchase of an item. If paid in cash immediately, a further discount of 12% is given. If the original price of the items is Rs 250. What is the price of the article if a cash purchase is made?

It was Wednesday on July 15, 1964. What was the day on July 15, 1965?

The ratio of the number of men to the number of women in a 20 member committee is 3:1 How many women must be added to the 20 member committee so as to make the ratio of men to women 3:2

If (x+3) varies directly as y and x = 3 when y= 12, what is the value of x when y = 8?

Find the nth term of the sequence 4,10, 16, ....

If (-3,-4) is a point o the line y=mx + 2, find the value of m

Find the value of K if the remainder when 3x³ + kx² - 11x + 12 is divided by x - 2 is 16

The sum of the roots of a quadratic equation is 5/2 and the product of its roots is 4. The quadratic equation is

Find the range of the following fraction 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3

If the length of a square is increased by 20% while its width is decreased by 20% to form a rectangle. What is the ratio of the area of the rectangle to the area or the square?

Simplify $$(\frac{16}{81})^{\frac34}$$

Given that Sin θ = 5/13, find the value of 2 - Sec²θ/1 + Cotθ

The interior angle of a regular polygon is thrice the exterior angle. How many sides has the polygon.

Differentiate with respect to x the function y= (2x+4) (3x-1)

Find x²y - 5x = 3

Differentiate with respect to x, y= sin (2x-4)

A regular hexagon are constructed inside diameter 12cm. the area of the hexagon is

The operation Δ on the set Q of rational numbers is defined by xΔy = 9xy for xy = Q. Find under the operation A, the identity

Simplify $$\frac{x^2-25}{x^2+10x+25}$$

Find the derivative of y = log_e(3x + 2)

Find K such that (K + √3)(1 - √3)² = 6 - 2√3

If 263 + 441 = 714, what number base has been used?

P sold his bicycle to Q at the profit of 10%, Q sold it to R for N209.00 at a loss of 5%. How much did the bicycle cost P?

A man invested a total of N50,000.00 in two companies. If these companies pay dividends of 6% and 8% respectively, how much did he invest at 8%, if the total yield is N3,700.00?

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2, 1.1 is

After getting a rise of 15%, a man's new monthly salary is N345. How much was his salary before the raise?

Let f(x) = 2x² + 1, Then f(2.5) is

Simplify 2 5⁄12 - 1 7⁄8 x 6⁄5

Solve the simultaneous equations linear equations 2x + 5y = 11 and 7x + 4y = -2

Find the area of triangle ABC with vertices A(2, 1), B(2, 4) and C(-2, 1)

Find where the straight line 3x + 4y = 7 intercepts the coordinate axis.

Find the equation of the line with gradient -1/3 and passing through (2, -1)

Find equation of the line through (2,3) and is perpendicular to the line 2x-3y+2 = 0

Evaluate $$\frac{0.21 × 0.072 × 0.00054}{0.006 × 1.68 × 0.063}$$

The point A has coordinates (5, 16) and the point B has coordinates (-4, 4). The variable point P has coordinates (x, y) and moves on a path such that AP = 2BP. Find the Cartesian equation of the path of P.

Simplify $$4sin\theta sin(\frac{\pi}3 - \theta)sin(\frac{\pi}3 + \theta)$$

The distance points P and Q with coordinates (ap², 2ap) and (aq², 2aq) respectively lie on the curve y² = 4ax. The tangents to the curve at P and Q meet at the point T. Find the coordinates of T if pq not equal to 0

If y = 2cos(3x - π), then dy/dx is

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