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Mathematics Past Questions

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

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92 questions

Question 1 of 20 92 total questions

Question 31

jamb 1999

How many two-digit numbers can be formed from the digits 0, 1, 2, 3 if a digit can be repeated and no number begins with 0?

B12

C20

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Question 32

jamb 1999

Tope bought x oranges at N5.00 each and some mangoes at N4.00 each. If she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of the value of x.

A4\(\leq\) x \(\leq\) 5

B5\(\leq\) x \(\leq\) 8

C5\(\leq\) x \(\leq\) 10

D8\(\leq\) x \(\leq\) 10

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Question 33

jamb 1999

If the minimum value of y = 1 + hx - 3x\(^2\) is 13, find h.

A13

B12

C11

D10

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Question 34

jamb 1999

Find the value of x for which the function y = x\(^3\) - x has a minimum value.

A\(-\sqrt{3}\)

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

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

D\(\sqrt{3}\)

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Question 35

jamb 1999

Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)

A\(\frac{-10}{3}\)

D11

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Question 36

jamb 1999

What is the derivative of t² sin (3t - 5) with respect to t?

A6t cos (3t - 5)

B2t sin (3t - 5) - 3t² cos (3t - 5)

C2t sin (3t - 5) + 3t² cos (3t - 5)

D2t sin (3t - 5) + t² cos 3t

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Question 37

jamb 1999

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A81 π cubic units

B36 π cubic units

C18 π cubic units

D9 π cubic units

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Question 38

jamb 1999

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}

Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

A\(\sqrt{2 +1}\)

B\(\sqrt{2 }-1\)

C\(-\sqrt{2 }-1\)

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

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Question 39

jamb 1999

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

A4 sq units

B2 sq units

C\(\frac{4}{3}sq\hspace{1 mm}units\)

D\(\frac{1}{3}sq\hspace{1 mm}units\)

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Question 40

jamb 1999

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

A2x + 2y = 9

B2x + 3y = 8

C2x + y = 9

Dx + 2y = 8

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Question 41

jamb 1999

From a point P, the bearings of two points Q and R are N67ºW and N23ºE, respectively. If the bearing of R from Q is N68ºE and PQ = 150m, calculate PR

A120m

B140m

C150m

D160m

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Question 42

jamb 1999

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

A-7/4

B7/8

C7/4

D7/2

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Question 43

jamb 1999

In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of angle M meets NO at P, calculate NP.

A4.8 units

B7.2 units

C8.0 units

D18.0 units

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Question 44

jamb 1999

A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man's head and the bird is 25m, what is the height of the tree?

A26.7m

B14.2m

C\(1.7+(25\frac{\sqrt{3}}{2}m\)

D\(1.7+(25\frac{\sqrt{2}}{2}m\)

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Question 45

jamb 1999

Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.

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Question 46

jamb 1999

Divide 4x\(^3\) - 3x + 1 by 2x - 1

A2x²-x+1

B2x²-x-1

C2x²+x+1

D2x²+x-1

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Question 47

jamb 1999

The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

A8/5

B8/3

C72/25

D56/9

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Question 48

jamb 1999

Express \(\frac{1}{x^{3}-1}\) in partial fractions

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

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

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

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

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Question 49

jamb 1999

Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.

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Question 50

jamb 1999

Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).

A(x+y+6)(x+y-3)

B(x-y-6)(x-y+3)

C(x-y+6)(x-y-3)

D(x+y-6)(x+y+3)

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