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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 661

waec 1998

It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2\).

If 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P\(^2\) find P

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Question 662

waec 1998

If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct

A\((P\cap Q)^l={2, 3, 4, 13}\)

B\(n(P\cup Q)=4\)

C\(P\cup Q = \emptyset\)

D\(P\cap Q = \emptyset\)

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Question 663

waec 1998

Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)

A10

B20

C25

D50

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Question 664

waec 1998

Three of the angles of a hexagon are each X^o. The others are each 3X^o. Find X

A30^o

B40^o

C60^o

D80^o

E120^o

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Question 665

waec 1998

P varies inversely as Q. The table above shows the value of Q for some selected values of P
What is the missing value of Q in the table?

C15

D16

E144

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Question 666

waec 1998

In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35°. Find ∠QPR

A70^o

B50^o

C45^o

D40^o

E35^o

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Question 667

waec 1998

Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\)

A\(22cm^2\)

B\(44cm^2\)

C\(66cm^2\)

D\(132cm^2\)

E\(198cm^2\)

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Question 668

waec 1998

The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x

A\(y=\frac{x}{2}\)

B\(y\frac{x}{\sqrt{2}}\)

C\(y=\sqrt{x}\)

D\(y=\sqrt{\frac{x}{2}}\)

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Question 669

waec 1998

Find the angle x in the diagram above

A310^o

B230^o

C190^o

D130^o

E100^o

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Question 670

waec 1998

Find the value of x in the diagram above

A8.0cm

B6.8cm

C6.6cm

D6.5cm

E5.6cm

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Question 671

waec 1998

In \(\triangle PQR\). T is a point on QR such that \(\angle QPT = 39^o and \angle PTR = 83^o. Calculate \angle PQT\)

A\(34^o\)

B\(44^o\)

C\(45^o\)

D\(97^o\)

E\(107^o\)

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Question 672

waec 1998

The diagram above is a rectangle. If the perimeter is 36m, find the area of the rectangle

A\(64m^2\)

B\(65m^2\)

C\(84m^2\)

D\(124m^2\)

E\(275m^2\)

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Question 673

waec 1998

The pie chart above shows the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of the students travelled to school on foot?

A24%

B23%

C20%

D15%

E14%

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Question 674

waec 1998

The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
If a hundred students travelled by bus, find the total number of students in the school

A300

B400

C500

D600

E750

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Question 675

waec 1998

The length of an arc of a circle of radius 5cm is 4cm. Find the area of the sector

A\(1\frac{3}{5}cm^2\)

B2cm²

C8cm²

D10cm²

E20cm²

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Question 676

waec 1998

Calculate the perimeter of the trapezium PQRS

A24cm

B36cm

C48cm

D72cm

E520cm

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Question 677

waec 1998

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

A3.403cm²

B5.350cm²

C10.99cm²

D157.1cm²

E175.0cm²

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Question 678

waec 1998

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50^o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.

A175.0cm

B157.1cm

C37.7cm

D11.0cm

E3.1cm

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Question 679

waec 1998

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ

A58.5^o

B44^o

C35^o

D31.5^o

E27^o

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Question 680

waec 1998

If the exterior angles of quadrilateral are y^o, (y + 5)^o, (y + 10)^o and (y + 25)^o, find y

A10^o

B20^o

C40^o

D60^o

E80^o

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