Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 1461
waec 1998

The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area

A2.5%
B9.3%
C10.0%
D10.25%
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Question 1462
waec 1998
A trader makes a loss of 15% when selling an article. Find the ratio, selling price : cost price
A3:20
B3:17
C17:20
D20:23
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Question 1463
waec 1998

Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form

A\(2\times 10^{-1}\)
B\(2\times 10^{2}\)
C\(2.972 \times 10^{1}\)
D\(2.972 \times 10^{2}\)
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Question 1464
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

A6
B7
C8
D9
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Question 1465
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 1466
waec 1998

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

A10
B20
C25
D50
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Question 1467
waec 1998
Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X
A30o
B40o
C60o
D80o
E120o
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Question 1468
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?

A4
B9
C15
D16
E144
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Question 1469
waec 1998

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

A70o
B50o
C45o
D40o
E35o
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Question 1470
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 1471
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 1472
waec 1998

Find the angle x in the diagram above

A310o
B230o
C190o
D130o
E100o
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Question 1473
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 1474
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 1475
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 1476
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 1477
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 1478
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 1479
waec 1998

Calculate the perimeter of the trapezium PQRS

A24cm
B36cm
C48cm
D72cm
E520cm
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Question 1480
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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