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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 451

waec 2017

Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the remaining exterior angles are 46\(^o\) each, name the polygon.

Adecagon

Bnonagon

Coctagon

Dhexagon

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Question 452

waec 2017

Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)

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

C4 \(\sqrt{2}\)

D4\(\sqrt{3} + 4\)

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Question 453

waec 2017

In what number base was the addition 1 + nn = 100, where n > 0, done?

An - 1

Bn + 1

Dn + 2

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Question 454

waec 2017

The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group

A10.1 years

B9.3 years

C8.7 years

D8 . 3 years

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Question 455

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 456

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 457

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 458

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 459

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 460

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 461

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 462

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 463

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 464

waec 2017

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

A2x - r

B2x + r

C4x - r

D2x - 2p - r

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Question 465

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 466

waec 2017

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

A7x + 5

Bx - 2

C7x - 2

Dx - 5

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Question 467

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 468

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 469

waec 2017

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

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Question 470

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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