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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 511

waec 2005

In the diagram, PR is a diameter, ∠PRQ = (3x-8)^o and ∠RPQ = (2y-7)^o. s x in terms of y

A\(x=\frac{75-2y}{3}\)

B\(x=\frac{105-3y}{2}\)

C\(x=\frac{105-2y}{3}\)

D\(x=\frac{75-3y}{2}\)

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Question 512

waec 2005

In the diagram, KL//MN, ∠LKP = 30^o and ∠NMP = 45^o. Find the size of the reflex ∠KPM.

A285^o

B255^o

C225^o

D210^o

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Question 513

waec 2005

A fair die is tossed once, what is the probability of obtaining neither 5 or 2

A\(\frac{5}{6}\)

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

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

D\(\frac{1}{6}\)

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Question 514

waec 2005

From a point P, R is 5km due west and 12km due south. Find the distance between P and R

A5km

B12km

C13km

D17km

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Question 515

waec 2005

A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x

D10

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Question 516

waec 2005

Find the equation whose roots are 2 and \(-3\frac{1}{2}\)

A2x² + 3x + 14 = 0

B2x² + 5x + 7 = 0

C2x² + 5x - 7 = 0

D2x² + 3x - 14 = 0

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Question 517

waec 2005

Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)

A31.12

B3.112

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Question 518

waec 2005

Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)

A33

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Question 519

waec 2005

Simplify \(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}\)

A\(\frac{1}{6}(5\sqrt{3}-3\sqrt{2}\)

B\(\frac{1}{6}(15\sqrt{3}-6\sqrt{2}\)

C\(\frac{1}{6}(3\sqrt{2}-\sqrt{3}\)

D\(\frac{1}{6}(10\sqrt{3}-9\sqrt{2}\)

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Question 520

waec 2005

Correct 0.04945 to two significant figures

A0.040

B0.049

C0.050

D0.49

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Question 521

waec 2004

A point on the ground is 5m away from the foot of a vertical wall 7 m high, Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

A36^o

B44^o

C46^o

D54^o

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Question 522

waec 2004

A bag contains 3 red and 2 white identical balls. lf 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours

A\(\frac{36}{625}\)

B\(\frac{16}{625}\)

C\(\frac{12}{25}\)

D\(\frac{13}{25}\)

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Question 523

waec 2004

A Cooperative Society charges an interest of 5\(\frac{1}{2}\)% per annum on any amount borrowed by its members. If a member borrows N125,000, how much does he pay back after one year?

AN136875

BN131,875

CN126750

DN126250

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Question 524

waec 2004

Given that p = 2, q = -5 and r = - 4, evaluate 3p² - q² - r³

A101

B77

C51

D-27

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Question 525

waec 2004

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

A4:5

B8: 15

C6:125

D8:125

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Question 526

waec 2004

Which of the following is/are true? In a plane, the locus of points I. Equidistant from a straight line is a circle radius d where d is the distance between the point and the straight line.
II Equidistant from two given points P and Q is a circle of radius |PQ|. III Equidistant from two points is the perpendicular bisector of the line joining the two points.

AI only

BII only

CIII only

DI, II and III

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Question 527

waec 2004

Given that \(P\propto \frac{1}{\sqrt{r}}\) and p = 3 when r = 16, find the value of r when p = \(\frac{3}{2}\)

A48

B64

C72

D324

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Question 528

waec 2004

The locus of a point which moves in a plane such that it is equidistant from two fixed points X and Y is

Athe perpendicular bisector of the line segment X Y

Ba line parallel to the line segment XY

Ca circle with XY as diameter

Dthe line perpendicular to the line segment XY

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Question 529

waec 2004

Which of the following quadratic equations has \(-\frac{1}{2}\) and \(\frac{3}{4}\) as its roots?

A8x² + 11x - 3 = 0

B8x² -11x – 3 = 0

C8x² + 2x -3 = 0

D8x² - 2x – 3 = 0

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Question 530

waec 2004

The values of x when y = 3 are approximately

A-4.7 and 1.4

B-4.6 and 1.5

C-3.6 and 0.4

D-3.6 and 1.5

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