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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

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Question 861

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 862

jamb 1991

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

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Question 863

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 864

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 865

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 866

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 867

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 868

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 869

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 870

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 871

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 872

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 873

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 874

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 875

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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Question 876

jamb 1991

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

D\(\frac{1}{25}\)

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Question 877

jamb 1991

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

A2\(\frac{4}{5}\)%

B16\(\frac{7}{8}\)%

C18\(\frac{1}{8}\)%

D18\(\frac{7}{8}\)%

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Question 878

jamb 1991

Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?

AN10.80

BN10.67

CN2.80

DN2.67

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Question 879

jamb 1991

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced per day by the two factories

A250

B750

C1000

D1250

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Question 880

jamb 1991

express 62 \(\div\) 3 as a decimal correct to 3 significant figures

A20.6

B20.667

C20.67

D20.7

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