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Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

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Question 711

jamb 1998

In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively of winning the gold in the football event. What is the probability that either team will win the gold?

A\(\frac{2}{15}\)

B\(\frac{7}{15}\)

C\(\frac{11}{15}\)

D\(\frac{13}{15}\)

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Question 712

jamb 1998

A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to \(\frac{2}{5}\)

B20

C24

D40

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Question 713

jamb 1998

Find the positive value of x if the standard deviation of the numbers 1, x + 1, 2x + 1 is \(\sqrt6\)

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Question 714

jamb 1998

Find the variance of the numbers k, k+1, k+2,

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

Ck + 1

D(k + 1)²

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Question 715

jamb 1998

\(\begin{array}{c|c} \text{Average hourly earnings(N)} & 5 - 9 & 10 - 14 & 15 - 19 & 20 - 24\\ \hline \text{No. of workers} & 17 & 32 & 25 & 24\end{array}\)

Estimate the mode of the above frequency distribution

A12.2

B12.27

C12.9

D13.4

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Question 716

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 717

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 718

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 719

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 720

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 721

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 722

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 723

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 724

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 725

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 726

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 727

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 728

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 729

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 730

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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