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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 1986

If \(\frac{a}{b}\) = \(\frac{c}{d}\) = k, find the value of \(\frac{3a^2 - ac + c^2}{3b^2 - bd + d^2}\) in terms of k

A3k²

B3k - k²

C\(\frac{17k^2}{4}\)

Dk²

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Question 12

jamb 1986

Find the values of x which satisfy the equation 16^x - 5 x 4^x + 4 = 0

A1 and 4

B-2 and 2

C0 and 1

D-1 and 0

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Question 13

jamb 1986

make v the subject of the formula S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)

Av = \(\frac{12}{2s^2}\)

Bv = \(\frac{12}{2s+ w}\)

Cv = \(\frac{12}{2s^2 + w}\)

Dv = \(\frac{12}{2s^2}\) + w

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Question 14

jamb 1986

Simplify \(\frac{1}{x - 2}\) + \(\frac{1}{x + 2}\) + \(\frac{2x}{x^2 - 4}\)

A\(\frac{2x}{(x - 2)(x + 2)(x^2 - 4)}\)

B\(\frac{2x}{x^2 - 4}\)

C\(\frac{x}{x^2 - 4}\)

D\(\frac{4x}{x^2 - 4}\)

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Question 15

jamb 1986

If \(5^{(x + 2y)} = 5\) and \(4^{(x + 3y)} = 16\), find \(3^{(x + y)}\).

D27

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Question 16

jamb 1986

Factorize (4a + 3)² - (3a - 2)²

A(a + 1)(a + 5)

B(a - 5)(7a - 1)

C(a + 5)(7a + 1)

Da(7a + 1)

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Question 17

jamb 1986

Simplify \(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\)

A\(\frac{12}{35x + 1}\)

B\(\frac{1}{35(x + 1)}\)

C\(\frac{12x}{35(x + 7)}\)

D\(\frac{12}{35x + 35}\)

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Question 18

jamb 1986

Solve the equation 3x\(^2\) + 6x - 2 = 0

Ax = -1 \(\pm\) \(\frac{\sqrt{3}}{3}\)

Bx = -1 \(\pm\) \(\frac{\sqrt{15}}{3}\)

Cx = -2 \(\pm\) 2

Dx = 3 \(\pm\) \(\frac{\sqrt{3}}{15}\)

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Question 19

jamb 1986

Factorize \(x^2 + 2a + ax + 2x\)

A(x + 2a)(x + 1)

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

C(x² - 1)(x - a)

D(x + 2)(x + a)

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Question 20

jamb 1986

Find all real numbers x which satisfy the inequality \(\frac{1}{3}\)(x + 1) - 1 > \(\frac{1}{5}\)(x + 4)

Ax < 11

Bx < -1

Cx > 6

Dx > 11

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Question 21

jamb 1986

If y = \(\frac{x}{x - 3}\) + \(\frac{x}{x + 4}\) find y when x = -2

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

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

C-\(\frac{7}{5}\)

D\(\frac{2}{5}\)

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Question 22

jamb 1986

Factorize completely 8a + 125ax\(^3\)

A(2a + 5x²)(4 + 26ax)

Ba(2 + 5x)(4 - 10x + 25x²)

C(2a + 5x)(4 - 10ax + 25x²)

Da(2 + 5x)(4 + 10ax + 25x²)

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Question 23

jamb 1986

If x varies directly as y³ and x = 2 when y = 1, find x when y = 5

B10

C125

D250

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Question 24

jamb 1986

Simplify \(\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{2}}}{3^{-\frac{1}{6}} \times 3^{\frac{-2}{3}}}\)

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

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Question 25

jamb 1986

Find n if log\(_{2}\) 4 + log\(_{2}\) 7 - log\(_{2}\) n = 1

A10

B14

C27

D28

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Question 26

jamb 1986

Simplify \((\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}) \times \frac{1}{\sqrt{3}}\)

A\(\frac{\sqrt{3}}{\sqrt{5}}\)

B\(\frac{2 \sqrt{3}}{7}\)

C-2

D-1

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Question 27

jamb 1986

In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?

A1981

B1979

C1982

D1978

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Question 28

jamb 1986

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.

A(12, 6)

B(23, 17)

C(17, 11)

D(18, 12)

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Question 29

jamb 1986

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2 : 3 : 5 respectively. If Bisi got 5, how many were share out?

A15

B25

C30

D50

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Question 30

jamb 1986

Udoh deposited N150.00 in the bank. At the end of 5 years the simple interest on the principal was N55.00. At what rate per annum was the interest paid?

A11%

B7\(\frac{1}{3}\)%

D3\(\frac{1}{2}\)%

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