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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 851

jamb 1991

PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PM = 5cm, PN = 12cm and PQ = 4.8cm, calculate the respective lengths of PR and PT in centimeters

A7.3, 5.9

B7.7, 12.5

C12.5, 7.7

D5.9, 7.3

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Question 852

jamb 1991

In the figure above, Find the value of x

A130^o

B110^o

C100^o

D90^o

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Question 853

jamb 1991

A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6 of sprite. If one bottle is selected at random, what is the probability that it is NOT a Cocacola bottle?

A\(\frac{5}{12}\)

B\(\frac{1}{3}\)

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

D\(\frac{7}{12}\)

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Question 854

jamb 1991

No. defective per box	4	5	6	7	8	9
No. of boxes	2	7	17	10	8	6

Find the percentage of boxes containing at least 5 defective bolts each

A96

B94

C92

D90

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Question 855

jamb 1991

Fifty boxes each of 50 bolts, were inspected for the number which were defective. The following was the result

No of defective per box	4	5	6	7	8	9
No. of boxes	2	7	17	10	8	6

The mean and the median of the distribution are, respectively

A6.7, 6

B7.6, 5

C5.7, 87

D34, 6

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Question 856

jamb 1991

3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

A76.8^o and 25.2^o

B10.8^o and 224.6^o

C112.4^o and 72.0^o

D39.6^o and 212.4^o

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Question 857

jamb 1991

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

A56\(\pi\) cm²

B72\(\pi\) cm²

C96\(\pi\) cm²

D192\(\pi\) cm²

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Question 858

jamb 1991

From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing of Y from X.

A0.30^o

B045^o

C060^o

D090^o

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Question 859

jamb 1991

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

A\(\frac{b}{\sqrt{b - a}}\)

B\(\sqrt{\frac{b}{a}}\)

C\(\sqrt{\frac{b}{b - a}}\)

D\(\sqrt{\frac{b - a}{a}}\)

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Question 860

jamb 1991

Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

Atan x

Btanx secx

C\(\sec^2 x\)

Dcosec²x

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Question 861

jamb 1991

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

A60 (tan 62^o - tan 64^o)

B60 (cot 64^o - cot 62^o)

C60 (cot 62^o - cot 64^o)

D60 (tan 64^o - tan 62^o)

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Question 862

jamb 1991

If the exterior angles of a pentagon are x°, (x + 5)°, (x + 10)°, (x + 15)° and (x + 20)°, find x

A118^o

B72^o

C62^o

D36^o

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Question 863

jamb 1991

One angle of a rhombus is 60^o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.

A8\(\sqrt{3}\)

B\(\frac{16}{\sqrt{3}}\)

C\(\sqrt{3}\)

D\(\frac{10}{\sqrt{3}}\)

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Question 864

jamb 1991

The area of a square is 144 sq cm. Find the length of its diagonal

A11\(\sqrt{3cm}\)

B12cm

C12\(\sqrt{2cm}\)

D13cm

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Question 865

jamb 1991

Find the sum of the first 20 terms in an arithmetic progression whose first term is 7 and last term is 117.

A2480

B1240

C620

D124

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Question 866

jamb 1991

At what value of x is the function y = x² - 2x - 3 minimum?

B-1

C-4

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Question 867

jamb 1991

Find the gradient of the line passing through the points (-2, 0) and (0, -4)

B-4

C-2

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Question 868

jamb 1991

Evaluate x²(x² - 1)^{-\(\frac{1}{2}\)} - (x² - 1)^{\(\frac{1}{2}\)}

A(x² - 1)^{-\(\frac{1}{2}\)}

B(x² - 1)¹

C(x² - 1)

D(x² - 1)^-1

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Question 869

jamb 1991

Simplify \(\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}}\)

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

B1 + 2x + 2\(\sqrt{x (1 + x)}\)

C\(\sqrt{x (1 + x)}\)

D1 + 2x - 2\(\sqrt{x (1 + x)}\)

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Question 870

jamb 1991

Solve the equation (x - 2) (x - 3) = 12

A2, 3

B3, 6

C-1, 6

D1, -6

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