NDA Mathematics 2019/2020 Past Questions

Simplify 3⁄5 ÷ (2⁄5 x 4⁄3 ÷ 4⁄9)

If a*b = a+b-ab, evaluate 5*7

A binary operation * is defined as $a/b * c/d = {a+c}/{bd}$ compute $2/3 * 3/5$

In how many ways can the letters of the name MAIMUNA be arranged in order

If y=${x^2+1}/{x-1}$, find dy/dx

The interior angles of a quadrilateral are (x + 20°), (2x - 45°), (x - 15°) and (2x+10°). Find the value of the least interior angle.

If the two smaller sides of right angled triangle are 8cm in and 9cm, find its area.

An arc subtends an angle of 60 at the centre of circle of radius 6cm. Calculate the area of the sector formed. (π = 22/7)

A cylindrical pipe 40m long with radius 7m has one end open. What is the total surface area of the pipe?

If log₃18 + log₃3 — log₃ x = 3, find x.

A student's annual interest on his savings account is N5.00. If the rate of interest is 9 1/2%, find the amount he deposited to the nearest naira.

The percentage score of 10 students in a test are 12, 56, 42, 21, 25, 18, 10, 53, 42, 24, what is the median score?

Simplify ${2^{n+1} - 2^{n-1}}/{2^{n+1} - 2^n}$

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

Find the value of K if the remainder when 3x³ + Kx² - 11x + 12 is divided by x-2 is 16.

Calculate 3310₅ - 1442₅

Convert 3.1415926 to 5 decimal places

The common ratio of a GP is 2. If the 5th term is greater than the 1st term by 45 find the 5th term.

Find the standard deviation of the following data: -5,-4,-3,-1,0,1,2,3,4,5

Convert 112₃ to base 10

Make k is the subject of the formula$m = {2nk}/{p} + {k}/{2p}$

Which of the following is a perfect square?

The quadratic equation whose roots are (x - 3) and (x + 1/3) is

What is the highest possible value of ${8}/{1 + x^2}$ if 0 ≤ x ≤ 5?

The fifth term in the progression 9, 27, 81, ... is

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

Find n if 34_n = 110112

The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

What is the value of x satisfying the equation 4^2x/4^3x = 2

If x = 3 - √3, find x³+³⁰(x³)

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)

Convert 4.3415637 to six decimal places.

Simplify 12.5^-1/2 × 49^-1/2 × 10

Express 0.00562 in standard form

If 3^2x= 27, what is x?

Given that ⅓ log₁₀P =1, find the value of P.