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Mathematics Past Questions

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

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93 questions

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Question 31

jamb 1989

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A30^o

B45^o

C60^o

D9^o

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Question 32

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 33

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 34

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 35

jamb 1989

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

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Question 36

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 37

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 38

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 39

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 40

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 41

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 42

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 43

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 44

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 45

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 46

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 47

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 48

jamb 1989

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

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Question 49

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 50

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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