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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 2131

jamb 1980

If Sin \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90º, calculate \(\frac{tan(90 - \theta)}{cos^2\theta}\)

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

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

C\(\sqrt{3}\)

D4\(\sqrt{3}\)

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Question 2132

jamb 1980

In the figure, PS = SR, and Rx is a tangent to the circle at R. < QRX is equal to 72º. Find angle SPR

A20^o

B36^o

C72^o

D30^o

E15^o

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Question 2133

jamb 1980

The angles marked in the figure are measured in degrees. Find x.

A45^o

B90^o

C60^o

D15^o

E30^o

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Question 2134

jamb 1980

In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

A3\(\pi\)\(\sqrt{2 - 1}\)cm

B\(\frac{9}{2}\)\(\pi\)cm

C3 \(\pi\)(1 + \(\frac{2}{2}\))

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

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Question 2135

jamb 1980

fG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the

Aperpendicular bisector of the line

Bperpendicular bisector of th eline JK

Cperpendicular bisector of the line HI

Dperpendicular from H to the line FG

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Question 2136

jamb 1980

In the figure, PS bisects angle QPR. Find the ratio SR:QR.

A1:2

B1:3

C1:4

D1:5

E1:6

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Question 2137

jamb 1980

In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x

A35^o

B50^o

C55^o

D70^o

E80^o

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Question 2138

jamb 1980

In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.

A56.77

B56.105

C28:105

D28:49

E56:49

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Question 2139

jamb 1980

If PN is perpendicular to QR, find the value of tan x.

A\(\frac{5}{9}\)

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

C\(\frac{3}{4}\)

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

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

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Question 2140

jamb 1980

Write the decimal number 39 to base 2

A100111 base 2

B110111 base 2

C111001 base 2

D100101 base 2

E19.5 base 2

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Question 2141

jamb 1980

If x varies inversely as y, and y varies directly as the square root of z, and z varies directly \(\frac{1}{w^2}\) write down in words how x varies with w

Ax varies inversely as w²

Bx varies directly as w²

Cx varies directly as w

Dx varies inversely as w

Ex varies directly as square root of w

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Question 2142

jamb 1980

A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take \(\pi\) = \(\frac{22}{7}\)

A\(\frac{6600}{7}\)cm³

B270cm³

C660cm³

D\(\frac{4224}{7}\)cm³

E\(\frac{1980}{7}\)cm³

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Question 2143

jamb 1980

If a function is defined by f(x + 1) = 3x2 - x + 4, Find f(0).

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Question 2144

jamb 1980

The expression x\(^3\) - 4x\(^2\) + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.

Ac = 4 and d = -9

Bc = -4 and d = 9

Cc = -20 and d = -15

Dc = 20 and d = -15

Ec = -20 and d = 15

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Question 2145

jamb 1980

Find the missing numerator \(\frac{5}{x + 1}\) - \(\frac{3}{1 - x}\) - \(\frac{7x - 1}{x^2 - 1}\) = \(\frac{?}{x + 1}\).

A-1

Bx - 1

C\(\frac{3(1 - 5x)}{x + 1}\)

E3(1 - 5x)

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Question 2146

jamb 1980

Simplify 10² + log₁₀5

A500

B2 log₁₀ 5

C10

D25

Elog₁₀5 x 10¹⁰⁰

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Question 2147

jamb 1980

Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.

A1.03

B2.31

C3.69

D10.5

E25

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Question 2148

jamb 1980

Solve the equation for the positive values of \(\theta\) less than 360^o. 3 tan \(\theta\) + 2 = -1

A135^o or 315^o

B45^o or 135^o

C315^o or 180^o

D315v + 45^o

E360^o or 315^o

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Question 2149

jamb 1980

Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))

A188.57cm²

B1320cm²

C188cm²

D188.08cm²

E10cm²

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Question 2150

jamb 1980

Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)

A\(\frac{1 - cos x}{sin x}\)

B1 - cos x

Csin x

D1 + cos x

E\(\frac{1 + cos x}{sin x}\)

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