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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1811

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 1812

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 1813

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 1814

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 1815

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 1816

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 1817

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 1818

jamb 1991

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

B-1

C-4

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Question 1819

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 1820

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 1821

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 1822

jamb 1991

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

A2, 3

B3, 6

C-1, 6

D1, -6

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Question 1823

jamb 1991

What is the nth term of the progression 27, 9, 3,......?

A27\(\frac{1}{3}\) ^{n - 1}

B3^{n + 2}

C27 + 18(n - 1)

D27 + 6(n - 1)

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Question 1824

jamb 1991

Find the positive number n, such that thrice its square is equal to twelve times the number

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Question 1825

jamb 1991

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) < 1

Ax < \(\frac{12}{13}\)

Bx < 13

Cx < 9

D\(\frac{13}{12}\)

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Question 1826

jamb 1991

Find the two values of y which satisfy the simultaneous equation 3x + y = 8, x\(^2\) + xy = 6.

A-1 and 5

B-5 and 1

C1 and 5

D1 and 1

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Question 1827

jamb 1991

Which of the following is a factor of rs + tr - pt - ps?

A(p - s)

B(s - p)

Cr - p)

Dr + p)

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Question 1828

jamb 1991

Factorize 1 - (a - b)²

A(1 - a - b)(1 - a + b)

B(1 + a - b)(1 - a + b)

C(1 - a + b)(1 - a + b)

D(1 + a + b)(1 + a + b)

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Question 1829

jamb 1991

Factorize \(m^3 - 2m^2\) - m + 2

A(m² + 1)(m - 2)

B(m - 1)(m + 1)(m + 2)

C(m - 2)(m + 1)(m - 1)

D(m² + 2)(m - 1)

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Question 1830

jamb 1991

If g(x) = x² + 3x + 4, find g(x + 1) - g(x)

A(x + 2)

B2(x + 2)

C(2x + 1)

D(x² + 4)

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