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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 971

jamb 1986

An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs N2.00 to paint one square meter

AN96.00

BN112.00

CN136.00

DN160.00

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Question 972

jamb 1986

If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?

AThe perpendicular bisector of UV

BA circle with UV as radius

CA line parallel to the line UV

DA circle with the line UV as the diameter

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Question 973

jamb 1986

Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)

A8\(\sqrt{3}\pi \)cm²

B24\(\pi \)cm²

C15\(\sqrt{3}\pi \)cm²

D36\(\pi \)cm²

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Question 974

jamb 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A5\(\frac{1}{3}\)cm²

B24cm²

C36cm²

D84cm²

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Question 975

jamb 1986

A girl walks 45 meters in the direction 050^o from a point Q to a point X. She then walks 24 meters in the direction 140^o from X to a point Y. How far is she then from Q?

A69m

B57m

C51m

D21m

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Question 976

jamb 1986

A regular polygon of n sides has 160^o as the size of each interior angle. Find n

A18

B16

C14

D12

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Question 977

jamb 1986

If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan²\(\theta\)

A\(\frac{b^2}{a^2}\)

B\(\frac{a^2}{b^2}\)

C\(\frac{a^2 + b^2}{b^2 - a^2}\)

D\(\frac{2a^2 + b^2}{a^2 + b^2}\)

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Question 978

jamb 1986

At what points does the straight line y = 2x + 1 intersect the curve y = \(2x^2\) + 5x - 1?

A(-2, -3) and(\(\frac{1}{2}\), 2)

B(1, 0), (1, 3)

C(4, 0) and (0,1)

D2, 0) and (0,1)

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Question 979

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 980

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 981

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 982

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 983

jamb 1986

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

D27

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Question 984

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 985

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 986

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 987

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 988

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 989

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 990

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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