NDA Mathematics 2014/2015 Past Questions

Find the value of x for which the function y= x³ - x has a minimum value.

If the maximum value of y= 1 + hx - 3x² is 13. Find h.

How many two-digit numbers can be formed from the digits 0, 1, 2, 3 . If a digit can be repeated and no number may begin with 0?

The sum of four numbers is 1214₅ . What is the average expressed in base five?

Given:
U= {Even numbers between 0 and 30}
P={Multiples of 6 between 0 and 30}
Q={Multiples of 4 between 0 and 30}
Find (PꓴQ)'

x varies directly as the product of u and v and inversely as their sum. If x =3 when u =3 and v= 1, what is the value of x if u = 3 and v = 3?

Find the range of the values of x satisfying the inequalities 5+x ≤ 8 and 13 + x ≥ 7

$|\table -x, 2; 4x, 1;|$ = $|\table 3, 3x; 4, -5;|$
Find the value of x

What is the maximum error in the numbers 0.09800 ft³, assuming that it is recorded accurately?

Udoh deposited ₦1500.00 in the bank. At the end of 5 years the simple interest on the principal was ₦550. At what rate per annum was the interest paid?

A number of pencils were shared among Bisi, Sola and Tunde in the ratio 2:3:5 respectively, If Bisi got 5, how many were shared out?

In 1984, Ike was 24 years old and his father was 45 years old, in what year was Ike exactly half his father’s age?

If U and V are two distinct fixed points and W is a variable point such that UWV is straight angle. What is the locus of W?

Find the mean of the data :7, -3, 4, 2, 5, -9, 4, 8, -6, 12

No of days	1	2	3	4	5	6
No of students	20	x	50	40	2x	60

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the terms?

A number was chosen at random from the number 1 to 30 inclusive. What is the probability that the number will be divisible by 5?

A rectangular picture 6cm by 8cm is enclosed by a Frame ½ cm wide, calculate the area of the frame.

For what values of x is x + 3(2-x) ≥ 4 – x?

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

Evaluate log_2/3(27/8) = x

A car of mass 1000kg has a uniform acceleration of 3m/s². Find the external force applied to the car.

Halima scored the following marks in various subjects: X,72, 60, 73 and 90 and have an average of 70%. Find the value of X.

A student obtained the following grade points out of 5 points: 3, 5, 4, 5, 5, 3, 1, 2, 4 and 4. Find the average grade point for this student.

Find the geometric mean of the numbers 3, 9 and 1.

Find the harmonic mean of the numbers :3, 4, 5, 6 correct to 2 d.p.

A cadet jogged at 20km/h from Old Site to New Site and on his return, he jogged at 15km/h. Find his average speed for the jogging exercise.

The points of intersection between 3x - y = 7 and x + 2y - 4 = 0 is

The slope of vertical line is given as

The equation of the line AB passing through A(1, -1) and B (-1, -1) is

The equation of a circle with centre C (2, 1) and radius r = 6 is

Which of the following statement is correct in Mathematics?

The equation ax⁵ + ax³ + b is called

In the figure below PQ and QR are chords of the circle PQR. QRS is a straight line and PR equals to RS. < PSR is 20°. What is the size of < POQ ?

Find the gradient ( or slope) of the line passing through the given points (3, -5) and (8, 15)

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.