NDA Mathematics 2016/2017 Past Questions

Evaluate (212)₃ - (121)₃ + (222)₃

Find the reciprocal of ${2/3}/{1/2 + 1/3}$

Nwankwo buys a watch of ₦10 and sells it at ₦6.50k. what is his percentage loss?

An article costing N5 was sold at a gain of 12.5%. Find the selling price?

Express 99 in base 10 to base two

Convert 1101100011₂ to base 8

Find at what rate per annum simple interest ₦525 will amount ₦5888 in 3 years.

If simple interest of ₦220 at 4% per annum is ₦44. Find the time.

Find the compound interest on ₦450 in 3 years at 4% per annum to the nearest whole number.

Muhammad invests ₦100 on January 1st of each year at 4% per annum. Find the total amount on his investment at the end of 3 years.

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

Simplify $4/{√2 + √3}$

Solve for n given ⁿP₂ =110

Evaluate $[{16/49]$^3/2

Simplify $(841^4/{b^8})$^-1/4

Solve the system
x – 5y + 3z = 9
2x - y + 4z = 6
3x – 2y + z = 2

Which term is 383 in the series 5 + 8 + 11 + 14 +….

A regular polygon is a polygon with

Find the sum of eight terms of 2, 6, 18,........

Attach the condition for the formula ${a(1-r)^n}/{1-r}$

Find the mean of the following scores

score	0	1	2	3	4	5
Frequency	2	5	6	4	2	1

A number of the form An⁴ + bn² + Cn + d where A = 4, b = 2, C = 2, d = 1 and n =10, is divisible by

Express (3 x 10⁴)(2 x 10⁶) in standard form.

Approximate 5.3657 to 1 decimal place

Find the lim_Ɵ→0${sin^2 Ɵ}/Ɵ$

Find n if ⁿC₃ = 84

Find the first integral of -√(x-3) dx

```In the MAM Conference held in Enugu, 500 scholars attended. 200 of them could take tea, 350 could take coffee and 10 did not take either coffee or tea. Use the above statement to answer questions 29-31.```
How many scholars can take both tea and coffee.

```In the MAM Conference held in Enugu, 500 scholars attended. 200 of them could take tea, 350 could take coffee and 10 did not take either coffee or tea. Use the above statement to answer questions 29-31.```
How many scholars can take tea only.

```In the MAM Conference held in Enugu, 500 scholars attended. 200 of them could take tea, 350 could take coffee and 10 did not take either coffee or tea. Use the above statement to answer questions 29-31.```
How many scholars can take coffee only.

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

A particle is projected vertically upward from a point 34.3m above the ground with initial velocity 29.3ms^-1. How fast is it moving when it is 73.5m above the ground?

Which of the following represent the shaded portion in the figure below:

In the figure below, if H is the centre of the circle, Find the circle value of the angle marked X

Let the point M has coordinates (-2, 6) and the point N has coordinates (5, 9). Find the gradient of line MN

The gradient of the line B is M1 and the gradient of the line CD is M2. The angle between lines AB and CD is:

The equation of a circle centre (a, b), with radius 3 units is

_____ is a subset of the co-domain