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Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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1,853 questions

Question 1 of 20 1,853 total questions

Question 211

waec 2017

Given that cos 30\(^o\) = sin 60\(^o\) = \(\frac{3}{2}\) and sin 30\(^o\) = cos 60\(^o\) = \(\frac{1}{2}\), evaluate \(\frac{tan 60^o - 1}{1 - tan 30^o}\)

A\(\sqrt{3 - 2}\)

B2 - \(\sqrt{3}\)

C\(\sqrt{3}\)

D-2

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Question 212

waec 2017

A bearing of 320\(^o\) expressed as a compass bearing is

AN 50\(^o\) W

BN 40\(^o\) W

CN 50\(^o\) E

DN 40\(^o\) E

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Question 213

waec 2017

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

A6 units

B5 units

C4 units

D2 units

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Question 214

waec 2017

Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)

A-1

B\(\frac{-1}{2}\)

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

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Question 215

waec 2017

Which of the following is true about parallelogram?

Aopposite angles are supplementary

Bopposite angles are complementary

Copposite angles are equal

Dopposite angles are reflex angles

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Question 216

waec 2017

If the total surface area of a solid hemisphere is equal to its volume, find the radius

A3.0cm

B4.5cm

C5.0cm

D9.0cm

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Question 217

waec 2017

The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres

A4.55 litres

B7.50 litres

C8.10 litres

D9.55 litres

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Question 218

waec 2017

Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

A10 cm

B14 cm

C16 cm

D20 cm

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Question 219

waec 2017

An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take \(\pi = \frac{22}{7}\)]

A29\(^o\)

B57\(^o\)

C65\(^o\)

D115\(^o\)

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Question 220

waec 2017

Simplify; 3x - (p - x) - (r - p)

A2x - r

B2x + r

C4x - r

D2x - 2p - r

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Question 221

waec 2017

Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)

A-\(\frac{5}{9}\) < x

B-\(\frac{8}{9}\) < x

C-\(\frac{8}{9}\) < x

D-\(\frac{7}{9}\) < x

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Question 222

waec 2017

One factor of \(7x^2 + 33x - 10\) is

A7x + 5

Bx - 2

C7x - 2

Dx - 5

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Question 223

waec 2017

A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.

AN1,820.00

B2,000.00

CN2,020.00

DN2,040.00

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Question 224

waec 2017

Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3

A\(\frac{1}{5}\)

B\(\frac{2}{5}\)

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

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

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Question 225

waec 2017

If x = \(\frac{2}{3}\) and y = - 6, evaluate xy - \(\frac{y}{x}\)

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Question 226

waec 2017

Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.

Aa + b + 1

Bab - 1

Ca - b + 1

Db - a + 1

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Question 227

waec 2017

If M = {x : 3 \(\leq\) x < 8} and N = {x : 8

Aiii only

Bi and ii

Cii and iii only

Di, ii and iii

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Question 228

waec 2017

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

A1 : 4

B1 : 5

C2 : 5

D5 : 2

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Question 229

waec 2017

Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)

A\(\frac{14}{15}\)

B\(\frac{13}{15}\)

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

D\(\frac{11}{15}\)

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Question 230

waec 2017

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

Ax \(\alpha\) z

Bx \(\alpha\) \(\frac{1}{z}\)

Ca \(\alpha\) z\(^2\)

Dx \(\alpha\) \(\frac{1}{z^2}\)

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