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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

Question 1 of 20 2,359 total questions

Question 821

jamb 1993

simplify \(\frac{1}{√3 - 2}\) - \(\frac{1}{√3 + 2}\)

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

D-4

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Question 822

jamb 1993

Solve for y in the equation 10\(^y\) x 5\(^{(2y - 2)}\) x 4\(^{(y - 1)}\) = 1

A\(\frac{3}{4}\)

B\(\frac{5}{4}\)

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

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Question 823

jamb 1993

If 9\(^{(x - \frac{1}{2})} = 3^{x^2}\) Find the value of x

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

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Question 824

jamb 1993

Evaluate \(\frac{3524}{0.05}\) correct to 3 significant figures

A705

B70,000

C70, 480

D70, 500

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Question 825

jamb 1993

change 71₁₀ to base 8

A107₈

B106₈

C71₈

D17₈

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Question 826

jamb 1993

Integrate \(\frac{1 - x}{x^3}\) with respect to x

A\(\frac{x - x^2}{x^4}\) + k

B\(\frac{4}{x^4} - \frac{3 + k}{x^3}\)

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

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

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Question 827

jamb 1992

In the figure, if XZ is 10cm, calculate RY in cm

A10

B10(1 - \(\frac{1}{\sqrt{3}}\))

C10(1 - \(\frac{1}{\sqrt{2}}\))

D10(1 - \(\sqrt{3}\))

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Question 828

jamb 1992

The diagram is a circle with centre O. Find the area of the shaded portion

A9(\(\pi - 2) cm^2\)

B18\(\pi cm^2\)

C9\(\pi cm^2\)

D36\(\pi cm^2\)

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Question 829

jamb 1992

In the figure, PQR is a semicircle while PQ and QR are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

AQS = PS\(\sqrt{SR}\)

BQS = \(\sqrt{(PS SR)}\)

CQS = 2\(\sqrt{(PS SR)}\)

DQS = \(\frac{1}{\sqrt{2}}\)\(\sqrt{(PS SR)}\)

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Question 830

jamb 1992

In the figure, TSP = 100° and PRQ = 20°. Find PQR.

A140^o

B120^o

C75^o

D30^o

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Question 831

jamb 1992

The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively

A1, 0, -4

B-2, 2, -4

C0, 1, -4

D2, -2, -4

E2, -2, -4

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Question 832

jamb 1992

A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?

A48

B12

C10

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Question 833

jamb 1992

Five people are to be arranged in a row for a group photograph. How many arrangements are there if a married couple in the group insist on sitting next to each other?

A48

B24

C20

D10

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Question 834

jamb 1992

The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.

A\(\frac{1}{96}\)

B\(\frac{1}{8}\)

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

D\(\frac{11}{12}\)

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Question 835

jamb 1992

Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8

A\(\frac{1}{12}\)

B\(\frac{5}{36}\)

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

D\(\frac{7}{36}\)

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Question 836

jamb 1992

If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores

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

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

C\(\sqrt{\frac{2}{3}}\)

D\(\sqrt{\frac{3}{2}}\)

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Question 837

jamb 1992

\(\begin{array}{c|c} \text{No. of children} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of families} & 7 & 11 & 6 & 7 & 7 & 5 & 3 \end{array}\)
Find the mode and median respectively of the distribution above

A2, 1

B1, 2

C1, 5

D5, 2

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Question 838

jamb 1992

\(\begin{array}{c|c} x & 2 & 4 & 6 & 8\\ \hline f & 4 & y & 6 & 5 \end{array}\)
If the mean of the above frequency distribution is 5.2, find y

A6.0

B5.2

C5.0

D4.0

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Question 839

jamb 1992

A store keeper checked his stock of five commodities and arrived at the following statics
\(\begin{array}{c|c} Comoditiy & Quantity\\ \hline F & 125\\ G & 113\\ H & 108\\ K & 216 \\ M & 68\end{array}\)
What angle will commodity H represent on a pie chart?

A216^o

B108^o

C68^o

D62^o

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Question 840

jamb 1992

Evaluate the integral \(\int^{\frac{\pi}{4}}_{\frac{\pi}{12}} 2 \cos 2x \mathrm {d} x\)

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

B-1

C\(\frac{1}{2}\)

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