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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 1421

waec 1999

Water flows from a tap into cylindrical container at the rate 5πcm\(^3\) per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

A2cm

B5cm

C8cm

D15cm

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Question 1422

waec 1999

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm\(^2\), find the length of the base.

A24cm

B36cm

C72cm

D144cm

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Question 1423

waec 1999

A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed

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

B\(\frac{x + y}{3}kmh^{-1}\)

C\(\frac{x + 2y}{3}kmh^{-1}\)

D\(\frac{2x + y}{3}kmh^{-1}\)

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Question 1424

waec 1999

Two numbers 24\(_{x}\) and 31\(_y\) are equal in value when converted to base ten. Find the equation connecting x and y

A2x = 3(y - 1)

B4x - y = 1

C3y + 2x = 3

D3y = 2 (x + 3)

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Question 1425

waec 1999

Simplify 3.72 x 0.025 and express your answer in the standard form

A\(9.3\times 10^3\)

B\(9.3\times 10^2\)

C\(9.3\times 10^{-2}\)

D\(9.3\times 10^{-3}\)

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Question 1426

waec 1999

The height of a pyramid on square base is 15cm. If the volume is 80cm\(^3\), find the length of the side of the base

A3.3cm

B5.3cm

C4.0cm

D8.0cm

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Question 1427

waec 1999

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

A60cm²

B50cm²

C40cm²

D30cm²

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Question 1428

waec 1999

A pole of length L leans against a vertical wall so that it makes an angle of 60^o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.

A\(16\sqrt{3}m\)

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

C\(\frac{\sqrt{3}}{16}\)

D\(\frac{16\sqrt{3}}{3}\)

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Question 1429

waec 1999

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C

A040^o

B070^o

C110^o

D290^o

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Question 1430

waec 1999

From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40º and |AB| = x cm. Calculate the radius of the circle.

A\(\frac{x}{sin 40^o}\)

B\(\frac{x}{cos 40^o}\)

C\(\frac{x}{2 sin 40^o}\)

D\(\frac{x}{2 cos 40^o}\)

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Question 1431

waec 1999

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

A14.9 ^o

B15.5 ^o

C74.5 ^o

D75.1 ^o

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Question 1432

waec 1999

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

A\(\frac{\sqrt{3}+1}{2}\)

B\(\frac{2}{\sqrt{3}+1}\)

C\(\frac{\sqrt{3}-1}{2}\)

D\(\frac{2}{\sqrt{3}-1}\)

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Question 1433

waec 1999

If y varies inversely as x\(^2\), how does x vary with y?

Ax varies inversely as y²

Bx varies inversely as √y

Cx varies directly as y²

Dx varies directly as y

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Question 1434

waec 1999

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

A\(\frac{x+7}{x^2 - 1}\)

B\(\frac{x-7}{x^2 + 1}\)

C\(\frac{x-7}{x^2 - 1}\)

D\(\frac{x-11}{x^2 - 1}\)

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Question 1435

waec 1999

Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)

A\(4.5\times 2^{n}\)

B\(4.5\times 2^{2n}\)

C\(9\times 2^{n-1}\)

D\(9\times 2^{2n}\)

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Question 1436

waec 1999

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

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

B\(x = \frac{y+b}{a}\)

C\(x = \frac{y-b}{a}\)

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

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Question 1437

waec 1999

Simplify \(\frac{2-18m^2}{1+3m}\)

A\(2(1+3m)\)

B\(2(1+3m^2)\)

C\(2(1-3m)\)

D\(2(1-3m^2)\)

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Question 1438

waec 1999

Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)

A-22

B-14

C14

D22

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Question 1439

waec 1999

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

A20^o

B25^o

C30^o

D50^o

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Question 1440

waec 1999

Calculate the value of Y in the diagram

A18^o

B42^o

C48^o

D132^o

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