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Mathematics Past Questions

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

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97 questions

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Question 31

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 32

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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Question 33

jamb 1992

a student blows a balloon and its volume increases at a rate of \(\pi\)(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds

A37.00\(\pi\)

B37.33\(\pi\)

C40.00\(\pi\)

D42.67\(\pi\)

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Question 34

jamb 1992

Obtain a maximum value of the function f(x) x\(^3\) - 12x + 11

A-5

B-2

D27

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Question 35

jamb 1992

Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes

A19.5

B17.0

C14.5

D12.5

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Question 36

jamb 1992

If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

A2 cosx - x sinx

Bsinx + x cosx

Csinx - x cosx

Dx sinx - 2 cosx

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Question 37

jamb 1992

Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)

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Question 38

jamb 1992

Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)

A\(\frac{\sqrt{n^2 - m^2}}{m}\)

B\(\frac{\sqrt{(n + m)(n - m)}}{n}\)

C\(\frac{m}{\sqrt{n^2 - m^2}}\)

D\(\sqrt{\frac{n}{n^2 - m^2}}\)

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Question 39

jamb 1992

find then equation line through (5, 7) parallel to the line 7x + 5y = 12

A5x + 7y = 120

B7x + 5y = 70

Cx + y = 7

D15x + 17y = 90

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Question 40

jamb 1992

What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?

A\(\frac{\sqrt{5}}{2}\)

B\(\frac{\sqrt{5}}{20}\)

C\(\frac{5}{\sqrt{13}}\)

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Question 41

jamb 1992

The locus of a point which is equidistant from two given fixed points is the

Aperpendicular bisector of the straight line joining them

Bparallel line to the straight line joining them

Ctransverse to the straight line joining them

Dangle bisector of 90^o which the straight line joining them makes with the horizontal

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Question 42

jamb 1992

X is a point due east of point Y on a coast: Z is another point on the coast but 6√3km due south of y.

If the distance XZ is 12Km. Calculate the bearing of Z from X

A240^o

B210^o

C150^o

D60^o

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Question 43

jamb 1992

If in the diagram, FG is parallel to KM, find the value of x

A75^o

B95^o

C105^o

D125^o

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Question 44

jamb 1992

Determine the distance on the earth's surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

A\(\frac{800\pi}{9}\)km

B\(\frac{800\sqrt{3\pi}}{9}\)km

C800\(\pi\) km

D800\(\sqrt{3\pi}\) km

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Question 45

jamb 1992

If the angles of quadrilateral are (p + 10)°, (2p - 30)°, (3p + 20)° and 4p°, find p.

A63

B40

C36

D28

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Question 46

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)
PQ is equivalent to

APP^T

Bpp^-1

Cqp

Dpp

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Question 47

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

A48

B24

C-24

D-48

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Question 48

jamb 1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

Ae = 1

Be = -1

Ce = -2

De = 0

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Question 49

jamb 1992

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

A157

B187

C197

D200

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Question 50

jamb 1992

What is the n-th term of the sequence 2, 6, 12, 20...?

A4n - 2

B2(3^{n - 1})

Cn² + n

Dn² + 3n + 2

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