NDA Mathematics 2013/2014 Past Questions

Find the product (2x³y^-2z⁷)(3x²y⁴z^-2)

Show the product (a + b√c) (a-b√c)

If p(x) = 7x³ – 12x² + x/4 - 1 and q(x) = -3x⁴ + x³ + 6x² -x + 8 Find (p + x)

Evaluate (√2 + 1) - (√2 - 1)⁵

Solve the quadratic equation(x-1)² - (x-1) - 3 = 0

What is derivative of tan x?

In a circle O above, what is the value of "a" ___.

In the figure above L₁ is parallel to L₂ and L₂ is parallel to L₃. What is the value of a+b+C+d

A coin is tossed 3 times. What is the probability of having at least 1 head?

Musa writes 8 papers and failed 3 papers. Jide wrote 6 papers and failed 2 papers. If one of them is called and then a paper is selected, what is the probability that the failed paper is selected?

In how many ways can 5 different people he arranged in a car which has five vacant seats?

The table shows marks obtained by 20 students in an examination

scores(x)	1	2	3	4	5
Frequency(y)	2	4	k	8	10

If the average score for the students was 5.5, find the value of k. Correct to the nearest whole number

A student scored the following marks in an examination, Mathematics 62%, Physics 49%, Engineering Drawing 72%. English 35% and General Studies 21%. If the credit grade attached to each of the courses are 4, 5, 4, 3, 1 respectively. determine the student average grade.

Find the perimeter of an equilateral triangle where area is 72cm².

The sum of 10th terms of an AP is 30 and its 12th term is 36. Find the first term and the common difference

If T varies inversely proportional to P and directly to U. formulate the problem

Find the equation of the tangent to the curve y =x³ at the point (2, 8)

Find the centre of the circle x² + y² -10x + 4y = 7

At x= 1, the function
f(x) = 2(N-1); 0 ≤ X ≤1
(x-1)(x+1); l < X ≤ 2 is __.

If Sin y = x sin(a+y), then dy/dx =

Simplify ${1+cosƟ}/{1-cosƟ} × {secƟ-1}/{secƟ+1}$

Convert 78964₁₀ to base 2

The fourth order derivative of f(x) = e^-xCos x is

Which of the following is true about any rhombus?

Sin x Cos y is same as

Divide a line of length 60 cm into 4 parts whose ratios are 3:7:6:4

Log (x² - y²) is equal to which of the following

If p = $|\table 2, 1; -3, 0;|$ and L is a 2x2 unit matrix, evaluate p² - 2p + 4L

If -2 is the solution of the equation 2x + 1 -3c = 2c + 3x -7 find the value of c

A hunter 1.6m tall, views a bird on top of a tree at an angle 45°. If the distance between the hunter and the tree is 10.4m. find the height of the tree

The sum of the interior angles of a polygon is 20 right angles. How many Sides does the polygon have?

The triangle PQR above is ___.

Find the Standard deviation of the numbers 1, 7, 6. 3, 4, 5, 2, 8, 9

Find the arithmetic mean of the following numbers:30, 32, 34, 36, 38,40, 42

The equation whose roots are 3 and -5 is __.

Find the equation of the circle which passes through the origin and touches the straight line 4x - 3y = 5 at the point (2, 1)

A farmer has 120m of fencing with which to enclose a rectangle sheep-pen, using a wall for one side. Find the maximum area that he can enclose.

PQRS is a trapezium having PQ parallel to SR, and PSR = QRS = 73, Calculate PQR

ABC is a triangle right-angled B and X is the mid-point of AC. What is the relationship between BX and AC?