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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1501

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 1502

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 1503

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 1504

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 1505

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 1506

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 1507

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 1508

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 1509

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 1510

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 1511

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 1512

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 1513

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 1514

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 1515

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 1516

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 1517

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 1518

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 1519

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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Question 1520

jamb 1998

Make \(\frac{a}{x}\) the subject of formula \(\frac{x + a}{x - a}\) = m

A\(\frac{m - 1}{m + 1}\)

B\(\frac{m + 1}{1 - m}\)

C\(\frac{1 - m}{1 + m}\)

D\(\frac{m + 1}{m - 1}\)

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