NDA Mathematics 2011/2012 Past Questions

Give that sin Ɵ = 5/13 and Ɵ is an acute angle. find Cos Ɵ

If f(x) = $x/{x-1}$, what is f(x+1)

Of the following, the one which is a cube root of i is

x² -6x + 8 > 0 is true for all values of x where

Find the area enclosed between the curves y= 4-x² and y = x²-2x

Find lim_h→-2${4+h-2}/h$

If log₈p = 2.5 and log₂q = 5, then p expressed in terms of q is

A class contains 10 men and 20 women of which half the men and half the women have brown eyes. Find the probability that a person chosen at random is a man.

Let U be a universal set and let A and B be events such that P(AꓴB) = 3/4 P(A^c) = 2/3 and P(AՈB) =1/4 Find P(B)

Two groups of male students cast their votes on a particular proposal. The results are as follows:
Group A .... In favour - 128 against - 32
Group B .... In favour - 96 against - 48
If a student is chosen at random, what is the probability that he is against the proposal?

Find the variance of the 6 numbers 4, 6, 6, 7, 9 and 10

A gun of mass 8kg fires a bullet of mass 80g at a speed 300m/s. with what initial speed does the gun recoil

An object whose weight is 10kg is placed on a smooth plane inclined at 30˚ to the horizontal, what force parallel to the plane is required to hold the mass at rest. (Take g = 10ms^-2)

A particle of mass 3kg on a smooth surface is acted upon by a force F. If the acceleration produced in the particle is 2ms^-2, find the magnitude of F.

An open box with a square base is required to hold 108cm³ What should be the dimension if the area of cardboard used is as small as possible?

lf each side of a cube expands by r% find the approx. percentage change in the volume of the cube

A body from rest with an acceleration of 10m/s². what is it velocity after 5 sec?

Suppose the radius of a circle is 3cm at a certain instant and it is increasing at the rate of 0.5cm/s at what rate will the area be increasing at the instant

A curve passes through the point (4, -3). Its gradient is 2-x. Find the equation of the curve.

A line passes through the point (5, -2) and its gradient is -3. Find the equation of the line.

if f and g are two functions such that f(x) = x+1 and s(x) = 1/x, find g(x)

if (x+iy) (2+i) = 3 then

The roots (s) of the equation 2√x = x-3 is (are)

The area of a circle is increasing at a rate of 3 cm/sec. Find the rate of change of the circumference when the radius is 2 cm

if log 2 = 0.3010 and Log 5 = 0.6992 then log 50 equals

In the following, which one is a factor of (x⁹⁹ + 1)?

If $1/x - 1/y = 1/z$ then z equals

Simplify 1 + tan²Ɵ

Evaluate (sin30° + sin60°). Simplify or leave in exact form or surd form

Which of the following is in descending order?

Evaluate 2700 000 x 0.03 ÷ 18 000

The prime factors of 2520 are ___.

Simplify ³√(64r-6)^1/2

What is the difference between 0.007685 correct to three significant figures and 0.007685 correct to four places of decimal?

If a block of height 2.5 cm represents 100 goats, how high should the block be to represent 170 goats.

Oke deposited ₦800.00 in the bank at the rate of 12½% simple interest. After some time, the total amount was one and half times the principal. For how many years was the money left in the bank?

If the surface area of a sphere of radius r, when r=5cm it is decreased by 2%. Find the percentage decreased in the surface area

Simplify 4- $1/{2-√3}$