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Mathematics Past Questions

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

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Past Questions

44 questions

Question 1 of 20 44 total questions

Question 11

jamb 1990

Find the sum of the first twenty terms of the progression log a, log a², log a³.....

Alog a²⁰

Blog a²¹

Clog a²⁰⁰

Dlog a²¹⁰

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Question 12

jamb 1990

Given that x² + y² + z² = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3

A\(\sqrt{10}\)

C12.2

D13.4

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Question 13

jamb 1990

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

A\(\frac{x}{x^2 - y^2}\)

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

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

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

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Question 14

jamb 1990

A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?

AN32.00

BN320.00

CN420.00

DN1680.00

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Question 15

jamb 1990

The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m\(^2\), how wide is the lawn?

A5cm

B7m

C12m

D14m

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Question 16

jamb 1990

Find the solution of the equation x - 8\(\sqrt{x}\) + 15 = 0

A3, 5

B-3, -5

C9, 25

D-9, 25

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Question 17

jamb 1990

What must be added to 4x\(^2\) - 4 to make it a perfect square?

A\(\frac{-1}{x^2}\)

B\(\frac{1}{x^2}\)

D-1

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Question 18

jamb 1990

If x + \(\frac{1}{x}\) = 4, find x² + \(\frac{1}{x^2}\)

A16

B14

C12

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Question 19

jamb 1990

Divide x3 - 2x2 - 5x + 6 by (x - 1)

Ax² - x - 6

Bx² - 5x + 6

Cx² - 7x + 6

Dx² - 5x - 6

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Question 20

jamb 1990

If a² + b² = 16 and 2ab = 7.Find all the possible values of (a - b)

A3, -3

B2, -2

C1, -1

D3, -1

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Question 21

jamb 1990

Factorize 9(x + y)² - 4(x - y)²

A(x + y)(5x + y)

B(x + y)²

C(x + 5y)(5x + y)

D5(x + y)²

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Question 22

jamb 1990

If f(x - 4) = x² + 2x + 3, Find, f(2)

B11

C27

D51

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Question 23

jamb 1990

If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab² - bc²)(a²c - abc)

B-28

C-30

D-34

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Question 24

jamb 1990

Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1

A\(\frac{y}{x}\)

Bxy

C\(\frac{x}{y}\)

D(xy)^-1

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Question 25

jamb 1990

Simplify 3log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72

B7776

Clog₆31

D(7776)₆

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Question 26

jamb 1990

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

A4\(\sqrt{3}\)

B\(\frac{4}{\sqrt{3}}\)

C3\(\sqrt{3}\)

D\(\frac{\sqrt{3}}{4}\)

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Question 27

jamb 1990

Simplify \(\sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r^8}}}\)

A9r²

B12\(\sqrt{3r}\)

C13r

D\(\sqrt{13r}\)

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Question 28

jamb 1990

Three brothers in a business deal share the profit at the end of a contact. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?

AN60 000.00

BN54 000.00

CN48 000.00

DN42 000.00

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Question 29

jamb 1990

Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)

A8.8 x 10^-1

B8.8 x 10^-2

C8.8 x 10^-3

D8.8 x 10³

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Question 30

jamb 1990

Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?

A\(\frac{3}{16}\)

B\(\frac{7}{16}\)

C\(\frac{9}{16}\)

D\(\frac{13}{16}\)

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