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Mathematics Past Questions

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47 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

47 questions

Question 1 of 20 47 total questions

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

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 16

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 17

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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Question 18

waec 2005

P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find P^I ∩ Q^I

A{3, 9}

B{5, 7, 9}

C{1}

D{1, 11}

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Question 19

waec 2005

which of the following statements describes the locus of a point R which moves in a plane such that its equidistant from two intersecting lines?

Athe bisector of the angle formed by the lines

Bthe point of intersection of the two lines

CA cone, with two intersecting lines as slant height

DA circle, with the point of intersection of the two lines as the center

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Question 20

waec 2005

An arc of a circle of radius 14cm subtends angle 300^o at the center. Find the perimeter of the sector formed by the arc

A14.67cm

B42.67cm

C101.33cm

D543.33cm

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