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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 901

jamb 1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A10(sin 35^o - sin 55^o)

B10 cos35^o - cos 55^o

C10(tan35^o - tan55^o)

D10(cot35^o - cot55^o)

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Question 902

jamb 1989

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A68cm

B84cm

C100cm

D120cm

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Question 903

jamb 1989

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

A\(\frac{\sqrt{3}}{2}\) cm

B3\(\frac{\sqrt{3}}{2}\) cm

C3\(\sqrt{3}\) cm

D2\(\sqrt{3}\) cm

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Question 904

jamb 1989

PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k.

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Question 905

jamb 1989

A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k

B4\(\frac{1}{2}\)

D8\(\frac{1}{2}\)

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Question 906

jamb 1989

If -8, m, n, 19 are in arithmetic progression, find (m, n)

A1, 10

B2, 10

C3, 13

D4, 16

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Question 907

jamb 1989

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

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

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

C(\(\frac{x}{y}\))^{\(\frac{1}{n - 2}\)}

D(\(\frac{y}{x}\))^{\(\frac{1}{n - 2}\)}

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Question 908

jamb 1989

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

A\(\frac{-1}{x + 1}\)

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

C\(\frac{1}{x}\)

D\(\frac{1}{x - 1}\)

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Question 909

jamb 1989

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

A\(\frac{-3}{(x + 1)(2 - x)}\)

B\(\frac{3}{(x + 1)(2 - x)}\)

C\(\frac{-1}{(x + 1)}\)

D\(\frac{1}{(x + 1)(x - 2)}\)

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Question 910

jamb 1989

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) > 1

Ar > \(\frac{abc}{bc + ac + ab}\)

Br < abc

Cr > \(\frac{1}{a}\) + \(\frac{1}{b}\) + \(\frac{1}{c}\)

D. \(\frac{1}{abc}\)

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Question 911

jamb 1989

What value of Q will make the expression 4x² + 5x + Q a complete square?

A\(\frac{25}{16}\)

B\(\frac{25}{64}\)

C\(\frac{5}{8}\)

D\(\frac{5}{4}\)

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Question 912

jamb 1989

Solve the pair of equation for x and y respectively \(2x^{-1} - 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1\)

A-1, 2

B1, 2

C2, 1

D2, -1

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Question 913

jamb 1989

What are K and L respectively if \(\frac{1}{2}\)(3y - 4x)² = (8x² + kxy + Ly²)

A-12, \(\frac{9}{2}\)

B-6, 9

C6, 9

D12, \(\frac{9}{2}\)

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Question 914

jamb 1989

Factorize 4a² - 12ab - C² + 9b²

A4a(a - 3b) + (3b - c)²

B(2a + 3b - c)(2a + 3b + c)

C(2a - 3b + c)(2a - 3b - c)

D4a(a - 3b) + (3b + c)

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Question 915

jamb 1989

Factorize completely \(y^3 -4xy + xy^3 - 4y\)

A(y + xy)(y + 2)(y - 2)

B(y - xy)(y - 2)

Cy(1 + x)(y + 2)(y -2)

Dy(1 - x)(y + 2)(y - 2)

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Question 916

jamb 1989

Simplify \(\frac{324 - 4x^2}{2x + 18}\)

A2(x - 9)

B2(9 + x)

C81 - x²

D-2(x - 9)

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Question 917

jamb 1989

Solve for a positive number x such that \(2^{(x^3 - x^2 - 2x)} = 1\)

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Question 918

jamb 1989

If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).

A2x² - x

B2x² - x + 10

C4x² + 3x + 2

D4x² + 3x + 12

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Question 919

jamb 1989

The cost of dinner for a group of students is partly constant and partly varies directly as the number of students. If the cost is N74.00 when the number of students is 20 and N96.00 when the number of students is 30, find the cost when there are 15 students

AN68.50

BN63.00

CN60.00

DN52.00

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Question 920

jamb 1989

Make R the subject of the formula S = \(\sqrt{\frac{2R + T}{2RT}}\)

AR = \(\frac{T}{(TS^2 + 1)}\)

BR = \(\frac{T}{2(TS^2 - 1)}\)

CR = \(\frac{T}{2(TS^2 + 1)}\)

DR = \(\frac{R}{2(TS^2 + 1)}\)

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