Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 651
waec 1999

Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)

A\(4.5\times 2^{n}\)
B\(4.5\times 2^{2n}\)
C\(9\times 2^{n-1}\)
D\(9\times 2^{2n}\)
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Question 652
waec 1999

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

A\(x = \frac{y^2-b}{a}\)
B\(x = \frac{y+b}{a}\)
C\(x = \frac{y-b}{a}\)
D\(x = \frac{y^2 + b}{a}\)
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Question 653
waec 1999

Simplify \(\frac{2-18m^2}{1+3m}\)

A\(2(1+3m)\)
B\(2(1+3m^2)\)
C\(2(1-3m)\)
D\(2(1-3m^2)\)
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Question 654
waec 1999

Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)

A-22
B-14
C14
D22
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Question 655
waec 1999

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

A20o
B25o
C30o
D50o
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Question 656
waec 1999

Calculate the value of Y in the diagram

A18o
B42o
C48o
D132o
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Question 657
waec 1999

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

A50o
B62o
C112o
D115o
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Question 658
waec 1999

Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite

AI and II only
BII and III only
CI and III only
DI, II, and III
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Question 659
waec 1999

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

A5
B6
C8
D9
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Question 660
waec 1999

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

A\(\frac{2}{11}\)
B\(\frac{4}{11}\)
C\(\frac{5}{11}\)
D\(\frac{11}{13}\)
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Question 661
waec 1999

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

A\(3\frac{1}{3}\) hours
B5 hours
C8 hours
D12 hours
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Question 662
waec 1999

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below
Find the value of K

A15o
B30o
C60o
D90o
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Question 663
waec 1999

From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number

A\(\frac{1}{5}\)
B\(\frac{2}{5}\)
C\(\frac{3}{5}\)
D\(\frac{4}{5}\)
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Question 664
waec 1999

If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

A-2
B-1
C1
D2
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Question 665
waec 1999

Simplify log\(_7\) 8 - log\(_7\) 2 + log\(_7\) 4.

A0
B\(2log_7 2\)
C\(3log_7 2\)
D\(4log_7 2\)
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Question 666
waec 1999

The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?

A39cm ≤ P ≤41cm
B38cm ≤ P < 42cm
C38.5 ≤ P ≤ 41.5cm
D38.5 ≤ P ≤ 40cm
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Question 667
waec 1998
Arrange in ascending order of magnitude \(26_8, 36_7, and 25_9\)
A\(25_9 26_8 36_7\)
B\(26_8 25_9 36_7\)
C\(36_7 26_8 25_9\)
D\(36_7 25_9 26_8\)
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Question 668
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 669
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 670
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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