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Mathematics Past Questions

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111 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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111 questions

Question 1 of 20 111 total questions

Question 41

jamb 1998

If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number

A19

B18

C13

D12

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Question 42

jamb 1998

find the equation of the curve which passes through by 6x - 5

A6x² - 5x + 5

B6x² + 5x + 5

C3x² - 5x - 5

D3x² - 5x + 3

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Question 43

jamb 1998

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

A\(\frac{\pi}{2}\)

B\(\pi\) - 2

C\(\frac{\pi}{3}\)

D\(\pi\) + 2

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Question 44

jamb 1998

Differentiate \(\frac{x}{cosx}\) with respect to x

A1 + x sec x tan x

B1 + sec² x

Ccos x + x tan x

Dx sec x tan x + secx

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Question 45

jamb 1998

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

A\(\frac{-8}{3}\)

B\(\frac{3}{8}\)

C\(\frac{9}{8}\)

D-\(\frac{8}{9}\)

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Question 46

jamb 1998

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60o and 45o respectively. Find the distance between the huts

A150(1 + \(\sqrt{3}\))m

B50(3 + \(\sqrt{3}\))m

C150 \(\sqrt{3}\)m

D\(\frac{50}{\sqrt{3}}\)m

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Question 47

jamb 1998

solve the equation cos x + sin x = \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)

A\(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)

B\(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)

C0, \(\frac{\pi}{3}\)

D0, \(\pi\)

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Question 48

jamb 1998

The midpoint of the segment of the line y = 4x + 3, which lies between the x-axis and the y-axis

A(\(\frac{3}{2}\), \(\frac{3}{2}\))

B(\(\frac{2}{3}\), \(\frac{3}{2}\))

C(\(\frac{3}{8}\), \(\frac{3}{2}\))

D(-\(\frac{3}{8}\), \(\frac{3}{2}\))

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Question 49

jamb 1998

If the distance between the points (x, 3) and (-x, 2) is 5. Find x

A6.0

B2.5

C\(\sqrt{6}\)

D\(\sqrt{3}\)

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Question 50

jamb 1998

The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.

A4\(\sqrt{3cm^2}\)

B16\(\sqrt{3cm^2}\)

C32cm²

D64cm²

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Question 51

jamb 1998

a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find the height of the drum in centimeters

A12.5

B25.0

C45.0

D50.00

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Question 52

jamb 1998

Let I = \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\) p = \(\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}\) Q = \(\begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix}\) be 2 x 2 matrices such that PQ = I. Find (u, v)

A(-\(\frac{5}{2}\) - 1)

B(-\(\frac{5}{2}\) - \(\frac{3}{2}\))

C(-\(\frac{5}{6}\) - 1)

D(\(\frac{5}{2}\) - \(\frac{3}{2}\))

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Question 53

jamb 1998

The determinant of matrix \(\begin{pmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{pmatrix}\) in terms of x is

A-3x² - 17

B-3x² + 9x - 1

C3x² + 17

D3x² - 9x + 5

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Question 54

jamb 1998

The binary operation \(\ast\) is defined by x \(\ast\) y = xy - y - x for all real values x and y. If x \(\ast\) 3 = 2\(\ast\) x, find x

A-1

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Question 55

jamb 1998

The identity element with respect to the multiplication shown in the diagram below is \(\begin{array}{c|c} \otimes & p & p & r & s \\ \hline p & r & p & r & p
\\ q & p & q & r & s\\ r & r & r & r & r\\ s & q & s & r & q\end{array}\)

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Question 56

jamb 1998

The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.

A\(\frac{1}{4}\)

B\(\frac{1}{\sqrt[3]{2}}\)

C\(\frac{1}{\sqrt[3]{3}}\)

D\(\frac{1}{\sqrt{2}}\)

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Question 57

jamb 1998

If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p

A-4, 2

B-3, \(\frac{4}{11}\)

C-\(\frac{4}{11}\), 2

D5, -3

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Question 58

jamb 1998

If x is a positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)

Ax > -\(\frac{1}{6}\)

Bx > 0

C0 < x < 4

D0 < x < \(\frac{1}{6}\)

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Question 59

jamb 1998

Express in partial fractions \(\frac{11x + 2}{6x^2 - x - 1}\)

A\(\frac{1}{3x - 1}\) + \(\frac{3}{2x + 1}\)

B\(\frac{3}{3x + 1}\) - \(\frac{1}{2x - 1}\)

C\(\frac{3}{3x + 1}\) - \(\frac{1}{2x - 1}\)

D\(\frac{1}{3x + 1}\) + \(\frac{3}{2x - 1}\)

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Question 60

jamb 1998

Divide 2x\(^{3}\) + 11x\(^2\) + 17x + 6 by 2x + 1.

Ax² + 5x + 6

B2x² + 5x - 6

C2x² + 5x + 6

Dx² - 5x + 6

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