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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 541

waec 2003

Which of the following is not a measure of dispersion?

ARange

BMean deviation

CMean

DStandard deviation

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Question 542

waec 2003

The bearing of P from Q is x, where 270o < x < 360o. Find the bearing of Q from P

A(x - 90)^o

B(x-270)^o

C(x - 135)^o

D(x - 180)^o

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Question 543

waec 2003

A man made a loss of 15% by selling an article for N595. Find the cost price of the article

AN600.00

BN684.25

CN700.00

DN892.50

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Question 544

waec 2003

A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h

A\(\frac{2}{3}\pi h^2\)

B\(\frac{1}{12}\pi h^3\)

C\(\frac{4}{3}\pi h^2\)

D\(\frac{4}{3}\pi h^3\)

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Question 545

waec 2003

In the diagram /PS/ = 9 cm, /OR/ = 5cm, \(P\hat{S}R = 63^o\) and \(S\hat{P}Q = P\hat{Q}R = 90^o\). Find, correct to the nearest whole number, the area of the trapezium,

A55cm²

B25cm²

C22cm²

D13cm²

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Question 546

waec 2003

In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?

A90^o

B75^o

C60^o

D45^o

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Question 547

waec 2003

Evaluate Cos 45o Cos 30o - Sin 45o Sin 30o leaving the answer in surd form

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

B\(\frac{\sqrt{3}-\sqrt{2}}{4}\)

C\(\frac{\sqrt{6}-\sqrt{2}}{2}\)

D\(\frac{\sqrt{6}-\sqrt{2}}{4}\)

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Question 548

waec 2003

Find the equation whose roots are \(-\frac{2}{3}\) and 3

A3x²+11x-6=0

B3x²+7x+6=0

C3x²-11x-6=0

D3x²-7x-6=0

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Question 549

waec 2003

The locus of points equidistant from two intersecting straight lines PQ and PR is

Aa circle centre P radius Q.

Ba circle centre P radius PR

Cthe point of intersection of the perpendicular bisectors of PQ and PR

Dthe bisector of angle QPR

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Question 550

waec 2003

The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests

A1-(x-y)+xy

B1-(x+y)-xy

C1-(x+y)+xy

D1 - (x - y) + x

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Question 551

waec 2003

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

Ap varies as the square of r

Bp varies as the square root of r

Cp varies inversely as the square of r

Dp varies inversely as r

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Question 552

waec 2003

The square root of a number is 2k. What is half of the number

A\(\sqrt{\frac{k}{2}}\)

B\(\sqrt{k}\)

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

D2k²

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Question 553

waec 2003

From the Venn Diagram below, find Q' ∩ R.

A(e)

B(c, h)

C(c, g, h)

D(c, e, g, h)

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Question 554

waec 2003

From the Venn diagram below, how many elements are in P∩Q?

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Question 555

waec 2003

If \(P = \sqrt{QR\left(1+\frac{3t}{R}\right)}\), make R the subject of the formula.

A\(R = \frac{3Qt}{P^2 - Q}\)

B\(R = \frac{P^2 – 3t}{Q+1}\)

C\(R = \frac{P^2 + 3t}{Q - 1}\)

D\(R = \frac{P^2-3Qt}{Q}\)

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Question 556

waec 2003

In a ∆ XYZ, /YZ/ = 6cm YXZ = 60o and XYZ is a right angle. Calculate /XZ/in cm, leaving your answer in surd form

A2√3

B4√3

C6√3

D12√3

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Question 557

waec 2003

Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°

AI only

BII only

CIII only

DI and III only

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Question 558

waec 2003

If \(\frac{3^{(1-n)}}{9^{-2n}}\) = \(\frac{1}{9}\) find n

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

B\(\frac{1}{3}\)

C-1

D-3

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Question 559

waec 2003

Given that x ≅ 0.0102 correct to 3 significant figures, which of the following cannot be the actual value of x?

A0.01014

B0.01021

C0.01015

D0.01016

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Question 560

waec 2003

Evaluate \((111_{two})^2 - (101_{two})^2\)

A10_two

B100_two

C1100_two

D11000_two

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