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Mathematics Past Questions

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

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 11

jamb 1991

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

B-1

C-4

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Question 12

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 13

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 14

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 15

jamb 1991

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

A2, 3

B3, 6

C-1, 6

D1, -6

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Question 16

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 17

jamb 1991

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

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Question 18

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 19

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 20

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 21

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 22

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 23

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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Question 24

jamb 1991

If w varies inversely as \(\frac{uv}{u + v}\) and is equal to 8 when

u = 2 and v = 6, find a relationship between u, v, w.

Auvw = 16(u + v)

B16ur = 3w(u + v)

Cuvw = 12(u + v)

D12uvw = u + v

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Question 25

jamb 1991

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A\(\frac{(p + q)}{pw + qu}\)

B\(\frac{uw(p + q)}{pw + qu}\)

C\(\frac{uw(p + q)}{pw}\)

D\(\frac{uw}{pw + qu}\)

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Question 26

jamb 1991

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy}\) When x = -2 and y = 3

B-\(\frac{3}{5}\)

C\(\frac{3}{5}\)

D-3

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Question 27

jamb 1991

Multiply (x² - 3x + 1) by (x - a)

Ax³ - (3 + a) x² + (1 + 3a)x - a

Bx³ - (3 - a)x² + 3ax - a

Cx³ - (3 - a)x² - (1 = 3a) - a

Dx³ + (3 - a)x² + (1 + 3a) - a

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Question 28

jamb 1991

Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \sqrt{3}}\)

A5 - 2\(\sqrt{6}\)

B5 + 2\(\sqrt{6}\)

C5\(\sqrt{6}\)

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Question 29

jamb 1991

Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)

A- \(\frac{1}{2}\sqrt{5}\)

B\(\frac{1}{2}\sqrt{5}\)

C-- \(\frac{1}{4}\sqrt{5}\)

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Question 30

jamb 1991

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

A1 - 4 log3

B-1 + 2 log 3

C-1 + 5 log2

D1 - 2log 2

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