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

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

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

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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 N as in the diagram below

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#### Evaluate

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

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

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

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

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

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

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

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

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

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

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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 y = x

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

#### A chord of a circle subtends an angle of 120

#### Evaluate

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

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

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

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#### The triangle PQR below is

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

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

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

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

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NDA - Mathematics - 2004

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