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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

Question 1 of 20 4,407 total questions

Question 1131

neco 2004

The angle subtended by a diameter of a circle at the circumference is a/an

Aacute angle

Bobtuse angle

Creflex angle

Dright angle

Esupplementary angle

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Question 1132

neco 2004

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

E10

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Question 1133

neco 2004

Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

A5\(\sqrt{15}\)cm²

B7\(\sqrt{15}\)cm²

C21\(\sqrt{3}\)cm²

D21\(\sqrt{5}\)cm²

E21\(\sqrt{15}\)cm²

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Question 1134

neco 2004

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

A10001\(_{two}\)

B11001\(_{two}\)

C110001\(_{two}\)

D11010\(_{two}\)

E10001\(_{two}\)

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Question 1135

neco 2004

If y varies inversely as x², how does x vary with y?

Ax varies inversely as y²

Bx varies inversely as \(\sqrt{y}\)

Cx varies directly as y²

Dx varies directly as \(\sqrt{y}\)

Ex varies directly as y

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Question 1136

neco 2004

The nth term of a sequence is given as \(4 \times 3^{(3 - n)}\). Calculate the third term.

A12

B32

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Question 1137

neco 2004

Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides

A12cm

B9\(\sqrt{2}\)cm

C6\(\sqrt{2}\)cm

D6cm

E3\(\sqrt{2}\)cm

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Question 1138

neco 2004

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{7}\))

A12.8cm²

B25.7cm²

C77.0cm²

D154.0cm²

E179.7cm²

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Question 1139

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 1140

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 1141

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 1142

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 1143

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 1144

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 1145

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 1146

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 1147

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 1148

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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Question 1149

waec 2004

Use the graph to answer the Question below
What are the roots of the equation x² + 3x - 4 = 0?

A1, 4

B-1, -4

C-1, 4

D-4, 1

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Question 1150

waec 2004

The diagram is a circle centre O. Find the value of x

A30^o

B50^o

C61^o

D78^o

E65.5\(^{\circ}\)

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