NDA Mathematics 2017/2018 Past Questions

A regular polygon is a polygon with:

Find the median of 6,5,9,8,4,7,2,8,9,4

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

Find the angle between the pairs of line
i. y = 3x + 7
ii. 3y = x+8

A pole of height 6m casts a shadow 4.5m long, find the height of a crane whose shadow is 75m long.

Find the area of the sector of a circle of radius 8cm subtending an angle of 60 ˚ at the centre.

The area of a square is 144 sq cm. Find the length of the diagonal.

Find the number of ways of selecting 6 out of 10 subjects for an examination.

Find the principal which amount to ₦5,500 at simple interest in 5 years at 2% per annum.

The sixth term of an arimethic progression is half of its twelfth term. The first term is equal to __.

Find the value of [(33.7)² – (15.3)²]^1/2 leaving your answer correct to 4 significant figures.

If 126_n = 86, find a positive value for n.

Find the simple interest on ₦6,000 for 4 years at 9% per annum

How long will it take for prices to double if the rate of inflation is 25% per annum?

A refrigerator cost ₦55,000. What is its cost at the end of 5 years if the annual rate of inflation is 20%

Find the principal which amount to ₦5,500 at simple interest in 5 years at 2% per annum

Simplify 4- $1/{2-√3}$

If 126_n = 86; find a positive value for n.

Two roots of the equation x³ + px + q = 0 are -1 and 3. The third root is:

Solve the Simultaneous equation:
3x + y = 1
2x -3y = 8

A Regular polygon is a polygon with:

Simplify $4/{√2 + √3}$

A railway line changes direction by 20° when passing round a circular arc of length 500m. What is the radius of the arc.

If the sum of the interior angles of a regular polygon is 18 right angles, how many sides have the polygon.

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

The sides of a rectangle are 18m and 31m, Find the angle the diagonal makes with the shorter side

What is the circumference if a circle whose area is 154cm²

A field measuring 33m by 103m has a path 1.5m round it. Find the area of the main field.

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?

What is the probability of getting a sum 9 from two throws of a dice?

A manager at the delivery company recorded the mean and median of delivery cost, but unfortunately lost the paper on which the values were recorded. However, the manager can remember that one value was about 4.00 dollars and the other was about 4.40 dollars. Which value is the mean and which is the median?

The correlation between two variables is very close to 0. Does it follow that there is no relation of any kind between the set of variables?

Find the number of ways of selecting 6 out of 10 subjects for an examination.

Which of the following sets of four numbers has the largest standard deviation?

Two events A and B are such that P(A) = 0.3, P(B) = 0.4,P(A and B) = 0.12. Are A and B independent, and why (or why not)?

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Three unbiased coins are tossed. What is the probability of getting at most two heads?