Mathematics, NDA

NDA – Mathematics – 2004

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

3600

If x varies directly as n3 and x = 9 when n = 9, find x when n = 1/9

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

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

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

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

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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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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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Simplify (square-root 0.7 + square-root 70)2

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

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

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Solve for x in the equation x3 - 5x2 - x + 5 = 0

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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 + 3x2

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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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The slope of the tangent to the curve Y = 3x2 - 2x + 5 at the point (1,6) 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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Find the mean Of the data 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

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If y = x2-1/x, find dy/dx

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

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

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The triangle PQR below is

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

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

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Find the derivative of y = sin2(5x) with respect to x

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

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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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If tan @ = 4/3, calculate [email protected] [email protected]

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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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If N as in the diagram below

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

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A solid hemisphere has radius 7cm. Find the total surface area

p = 22/7
Show hint
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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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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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Simplify 52.4 - 5. 7 - 3.45 - 1.75

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Evaluate

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

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NDA - Mathematics - 2004
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