NDA Mathematics 2010/2011 Past Questions

Simplify $sin({-5p}/2) sin(p/2) ÷ cos(p/2) cos({5p}/2)$

If tan Ɵ = 3/4, find Sin Ɵ

Solve for sec x. If sec²x + 3/4 sec x = 1/2

Solve for sin x, if sin² x ÷ (sinx^-2) = 4

Calculate the angle < between the vectors
U – 2i +2j
V=-2i + 2j

Find the value of sin 2Ɵ when sin Ɵ = 2/3

If Sin Ɵ = 1/4. What is sec Ɵ.

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

If y = xsinx, find dy/dx

If y = Sin(2x² + 5) then dy/dx is

simplify (√0.7 + √70)²

Without using tables, evaluate (343)^1/3 x (0.14)^-1 x (25)^-1/2

In a school, 220 students Biology or Mathematics or both,125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?

Evaluate ${0.21 × 0.072 × 0.00054}/{0.006 × 1.68 × 0.063}$ correct to 4 significant figures

A trader bought goats for ₦4000 each. He sold them for ₦180000 at a loss of 25%. How many goats did he buy?

Simplify 52.4 - 5.7 - 3.45 - 1.75

The range of the data k+2, k-3, k+4, k-2, k, k-5, k+3, k- I and k + 6 is

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector for cassava in a pie chart?

The mean of a set of six numbers is 60. if the mean of the first five is 50. find the sixth number in the set.

Let U = {a,b,c,d,e}
A = {a,b,d}
and B ={a,d,e}Then B/A Is equal to:

Let A = {2,3,4}
B = {4,5,6}
and U = {1,2,3 .......} Then :

Let U be a universal set. A and B are subsets of U. Then A'ꓴB' = ? by:

Simplify sin45°cos45°

If sin A = 3/4 What is the value of tan A?

If tan(x+y) = 2 and tan x = 1. find tan^-1y

Evaluate the expression sin (cos^-1$√3/2$)

In a parallelogram ABCD, the lengths of sides AB and AD are 5m and 6m respectively. if A = 60°, find the length of the longest diagonal of the parallelogram.

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

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

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

A car dealer bought a second-hand ear for ₦250,000.00 and spent ₦70,000.00 refurbishing it. He then sold the car for ₦400.000,00. What is the percentage gain?

Evaluate 21.05347 — 1.6324 × 0.41, to 3 decimal places.

Evaluate ${0.14 × 0.275}/{7(0.02)}$ correct to 3 decimal places

Given that p = 1+√2 and q = 1-√2, Evaluate ${p-9}/{2pq}$

y/2 = x; Evaluate $[x/y + 1/2] + [1/2 + x^2/y^2]$

Simplify (³√64a³)

Factorize 4x² - 9y² + 20x + 25

If two graphs y = px² + q annd y = 2x² - 1 intersect at x = 2, find the value of p in terms of q.

Solve the equations: m² + n² = 29, m + n = 7