This quiz consist of over 50 NDA Mathematics past questions and answers. The answers are well explained. Retake the quiz as many times as you feel the need. Success!

This is a timed quiz. You will be given 3600 seconds to answer all questions. Are you ready?

3600

#### In the diagram below XZ is the diameter of the circle of XYZW with centre O radius 15cm. If XY = 12cm and the area of the triangle XYZ

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#### The locus of a point P which is equidistant from two given points S and T is

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#### How many three-digit numbers can be formed from 32364 without any digit being repeated?

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#### Find the maximum value of y in the equation y = 1 - 2x + 3x^{2}

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#### The triangle PQR below is

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#### The inverse of the function f(x) = 3x + 4 is

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#### Find the derivative of y = sin^{2}(5x) with respect to x

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#### The range of data k +2, k -3, k+4, k-2, k-5, k+3, k-1 and k+6 is

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#### Find the equation of the set of points which are equidistant from the parallel line x = 1 and x = 7 x = 3

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#### The time taken to do a piece of work is inversely proportional to the number of men employed, If it takes 45 men to do a piece of work in 5 days. how long will it take 25 men?

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#### A chord of a circle subtends an angle of 120^{o} at the center of circle of diameter 4.3cm. Calculate the area of the major sector

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#### In the diagram below are two concentric circles of radii r and R respectively with centre O, find r = 2R/5. (*Express the area of the shaded portion in terms of r and R. *

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*#### If x varies directly as n

#### In the diagram below, PST is a straight line PQ = QS = RS = RS if L RST = 72

#### A hunter 1.6m tall. Views a bird on top of a tree at an angle of 45

#### Simplify (square-root 0.7 + square-root 70)

#### The slope of the tangent to the curve Y = 3x

#### If y = x

#### Solve for x in the equation x

#### Without using tables, evaluate (346)

#### The binary operation is defined on a set pf integers p and p by p * q = pq + p +q find 2*(3*4)

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#### Use the graph below to find the values of p and q if px + qy = 4

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#### Simplify 52.4 - 5. 7 - 3.45 - 1.75

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#### If N as in the diagram below

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#### If x varies directly as n^{3} and x = 9 when n = 9, find x when n = 1/9

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#### Maker the subject of the formula x/(r + a) = a/r

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

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#### A bucket is 12cm in diameter at the top, 8cm in the diameter at the bottom and 4 cm deep. Calculate its volume,

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#### In the diagram below, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

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#### Find the value of a if the line 2y ? ax + 4 = 0 is perpendicular to the line y + fx - 7 = 0

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#### In the diagram below, PST is a straight line PQ = QS = RS = RS if L RST = 72^{o}, find x

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#### A hunter 1.6m tall. Views a bird on top of a tree at an angle of 45^{o}. If the distance between the hunter and the tree is 10.4m , find the height of the tree.

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#### A trader bought goats for N400 each. He sold them for 180000 at a loss of 25%. How many goats did he buy?

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#### If dy/dx = (2x - 3) and y = 3 when x = 0, find y in terms of x

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#### Simplify (square-root 0.7 + square-root 70)^{2}

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#### The slope of the tangent to the curve Y = 3x^{2} - 2x + 5 at the point (1,6) is

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#### The means of a set of six number is 60. If the mean of the first five is 50, find the sixth number in the set.

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#### If tan @ = 4/3, calculate sin2@ cos2@

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

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#### A circle with a radius 5cm has its radius increasing at the rate of 0.2cm/s. What will be the corresponding increase in the area?

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#### The sum to infinity of the series 1 + 1/3 + 1/9 + 1/27 + ? is

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#### If y = x^{2}-1/x, find dy/dx

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#### Evaluate

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

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#### Evaluate

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

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#### Calculate the mean deviation of the set numbers 7, 3, 14, 7 and 8

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#### The probability of a student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them?

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#### The distribution below 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?

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#### Find the mean Of the data 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

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#### Solve for x in the equation x^{3} - 5x^{2} - x + 5 = 0

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#### Without using tables, evaluate (346)^{1/3} x (0.14)^{-1}x (25) = 1/2

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#### The venn diagram below shows the number of students offering Music and History in a class of 60 students. If a student is picked at random from the class, what id the probability that he offers Music

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#### Find the range of values of x for which (x+2)/4 - (2x-3)/3 < 4

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#### If the 9th term of an A.P is five times the 5th term, find the relationship between a-and d,o

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#### Find the coordinate of the midpoint of x and y intercepts of the line 2y = 4x + 8

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NDA - Mathematics - 2004

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