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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 1001

jamb 1985

If f(x - 2) = 4x² + x + 7, find f(1)

A12

B27

D46

E17

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Question 1002

jamb 1985

Solve the simultaneous equations 2x - 3y + 10, 10x - 6y = - 5

Ax = 2\(\frac{1}{2}\), y = 5

Bx = \(\frac{1}{2}\), y = \(\frac{3}{2}\)

Cx = 2\(\frac{1}{4}\), y = 3\(\frac{1}{2}\)

Dx = 2\(\frac{1}{3}\), y = 3\(\frac{1}{2}\)

Ex = 2\(\frac{1}{3}\), y = 2\(\frac{1}{2}\)

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Question 1003

jamb 1985

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

A(\(\frac{5}{2}\), 1)

B(5, -4)

C(2, 1)

D(1, \(\frac{-5}{2}\))

E(1,-2)

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Question 1004

jamb 1985

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

A(6, -8): (-2, 8)

B(3, -4): (-1, 4)

C(8, -4): (-1, 4)

D(-8, 6): (8, -2)

E(-4, 3): (4, -1)

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Question 1005

jamb 1985

If the quadratic function 3x² - 7x + R is a perfect square, find R

A\(\frac{49}{24}\)

B\(\frac{49}{12}\)

C\(\frac{49}{13}\)

D\(\frac{49}{3}\)

E\(\frac{49}{36}\)

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Question 1006

jamb 1985

At what real value of x do the curves whose equations are y = x³ + x and y = x² + 1 intersect?

A-2

C-1

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Question 1007

jamb 1985

Factorize abx² + 8y - 4bx - 2axy

A(ax - 4)(bx - 2y)

B(ax + b)(x - 8y)

C(ax - 2y)(bx - 4)

D(bx - 4)(ax - 2y)

E(abx - 4)(x - 2y)

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Question 1008

jamb 1985

If 3^2y + 6(3^y) = 27. Find y

B-1

D-3

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Question 1009

jamb 1985

The factors of 9 - (x² - 3x - 1)² are

A-(x - 4)(x + 1) (x - 1)(x - 2)

B(x - 4)(x - 2) (x - 1)(x + 1)

C-(x - 2)(x + 1) (x - 2) (x - 1)

D(x - 2)(x + 2) (x - 1)(x + 1)

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Question 1010

jamb 1985

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k, Find the cost for 50 people?

A15k

B20k

C50k

D40k

E45k

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Question 1011

jamb 1985

\((\sqrt[4]{3} + \sqrt[4]{2})(\sqrt[4]{3} - \sqrt[4]{2})(\sqrt{3} + \sqrt{2})\) is equal to

B(\(\sqrt{2} + 4\sqrt{2}\))

C(6\(\sqrt{2}\)

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Question 1012

jamb 1985

If \(e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ... \), find \(\frac{1}{e^{\frac{1}{2}}}\)

A1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........

B1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{2.4.3}\) + ..

C1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + \(\frac{x^4}{1.23.4}\) + .........

D1 - x + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........

E1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{1.2.6}\) + .........

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Question 1013

jamb 1985

Find the values of p for which the equation x\(^2\) - (p - 2)x + 2p + 1 = 0

A(21, 0)

B(0, 12)

C(1, 2)

D(3, 4)

E(4, 5)

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Question 1014

jamb 1985

22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

A1M = 1\(\frac{15}{57}\)N

B1M = 38\(\frac{1}{4}\)N

C1M = 1\(\frac{18}{57}\)N

D1M = 384\(\frac{3}{4}\)N

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Question 1015

jamb 1985

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{1 - dh}\)

Ah = \(\frac{a - b}{ad}\)

Bh = \(\frac{1 - b}{ad - bc}\)

Ch = \(\frac{(a - b)^2}{ad - bc}\)

Dh = \(\frac{a - b}{ad - bc}\)

Eh = \(\frac{b - a}{ab - dc}\)

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Question 1016

jamb 1985

Find x if log\(_9\)x = 1.5

A72.0

B27.0

C36.0

D3.5

E24.5

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Question 1017

jamb 1985

John gives one-third of his money to Janet who has N105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

AN45.00

BN48.00

CN52.00

DN60.00

EN58.00

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Question 1018

jamb 1985

Find correct to two decimals places 100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\)

A100.02

B1000.02

C100.22

D100.01

E100.51

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Question 1019

jamb 1985

List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4

A2, 3, 4, 5

B2, 3, 4

C2, 5

D3, 4, 5

E4, 5

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Question 1020

jamb 1985

In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x}\) = \(\frac{1000}{x + 101}\)

A101

B11

C110

D111

E10

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