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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

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Question 491

waec 2006

Simplify \(\frac{25 ^\frac{2}{3} \div 25 ^\frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}\)

A25

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

D\(\frac{1}{25}\)

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Question 492

waec 2006

Simplify: 11011\(_2\) - 1101\(_2\)

A101000\(_2\)

B1100\(_2\)

C1110\(_2\)

D1011\(_2\)

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Question 493

waec 2006

Evaluate (0.13)\(^3\)correct to three significant figures

A0.00219

B0.00220

C0.00300

D0.00390

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Question 494

waec 2005

The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, Which of the following statements cannot be correct

A|PO|=|RO|

BPQR is an equilateral triangle

CPQRX is a parallelogram

DThere are two lines of symmetry

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Question 495

waec 2005

In the diagram, O is the center of the circle, ∠MON = 80^o, ∠LMO = 10^o and ∠LNO = 15^o. Calculate the value of x

A40^o

B50^o

C55^o

D75^o

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Question 496

waec 2005

The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase

A10%

B15%

C15.6%

D18.5%

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Question 497

waec 2005

Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car?

A80,500

B80,640

C87,360

D87,500

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Question 498

waec 2005

If y \(\alpha\) x\(^2\) and y = 1\(\frac{1}{4}\) when x = 4, find the value of y when x = \(\frac{1}{2}\)

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

C10

D80

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Question 499

waec 2005

A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of side 2cm can be neatly packed into the packet?

A90

B144

C150

D288

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Question 500

waec 2005

XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of \(\pi\), the area of the sector

A1.4\(\pi\)cm²

B2.8\(\pi\)cm²

C4.9\(\pi\)cm²

D9.8\(\pi\)cm²

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Question 501

waec 2005

The angle of elevation of the top of a cliff 15 meters high from a landmark is 60º. How far is the landmark from the foot of the cliff? Leave your answer in surd form

A\(15\sqrt{3}m\)

B\(15\sqrt{2}m\)

C\(10\sqrt{3}m\)

D\(5\sqrt{3}m\)

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Question 502

waec 2005

In the diagram PQRS is a circle, |PT| = |QT| and ∠QPT = 70^o what is the size of ∠PRS?

A40^o

B70^o

C80^o

D140^o

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Question 503

waec 2005

What is the equation of the curve?

A\(y=x^2+6x+4\)

B\(y=x^2-5x-4\)

C\(y=x^2-5x+4\)

D\(y=x^2+5x-4\)

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Question 504

waec 2005

What are the roots of the equation?

A-1 and 1

B4 and 1

C1 and 4

D4 and 4

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Question 505

waec 2005

For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\) not defined?

A\(\frac{1}{6}, \frac{1}{4}\)

B3, -2

C-3, 2

D0,1

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Question 506

waec 2005

The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x

A\(\frac{2}{3}\)

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Question 507

waec 2005

Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)

A\(\frac{2-x}{12xyz}\)

B\(\frac{2z-3x}{12xyz}\)

C\(\frac{4z-3x}{12xyz}\)

D\(\frac{8z-9x}{12xyz}\)

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Question 508

waec 2005

A regular polygon has 9 sides. What is the size of one of its exterior angles?

A20^o

B40^o

C90^o

D140^o

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Question 509

waec 2005

The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary

A85.1%

B58.5%

C17.5%

D14.9%

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Question 510

waec 2005

A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?

A35 mins

B40 mins

C45 mins

D90 mins

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