Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 481
waec 2006
a conical water-jug is 7cm in diameter and 6cm deep. find the volume of water it can hold. [Take \(\pi = \frac{22}{7}\)]
A22cm2
B44cm3
C77cm3
D3082
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Question 482
waec 2006
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
A3
B4
C5
D6
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Question 483
waec 2006
Which of these equations best describes the points of intersection of the curve and the line?
A\(x^2 + 5x - 6 = 0\)
Bx2 - 5x - 6 = 0
Cx2 + x - 6 = 0
Dx2 - x - 6 = 0
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Question 484
waec 2006
If x + y = 12 and 3x - y = 20, find the value of 2x - y
A8
B10
C12
D15
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Question 485
waec 2006
If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?
A4
B5
C8
D10
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Question 486
waec 2006
A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?
AN16,200
BN1,4,200
C12,000
D8000.
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Question 487
waec 2006
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) years is N123, find the principal.
AN676.50
BN820
CN1,640
DN4,920
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Question 488
waec 2006
What is the place value of 9 in the number 3.0492?
A\(\frac{9}{10000}\)
B\(\frac{9}{1000}\)
C\(\frac{9}{100}\)
D\(\frac{9}{10}\)
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Question 489
waec 2006
Given that (2x - 1)(x + 5) = 2x2 - mx - 5, what is the value of m
A11
B5
C-9
D-10
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Question 490
waec 2006
What must be added to x2 - 3x to make it a perfect square?
A\(\frac{9}{4}\)
B\(\frac{9}{2}\)
C6
D9
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Question 491
waec 2006

\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table below satisfies the relation y = k\(\sqrt{x}\), where k is a positive constant. Find the value of P,

A2
B4
C10
D25
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Question 492
waec 2006
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table above satisfies the relation y = k\(\sqrt{x}\), where k is a positive constant. Find the value of K.
A0.5
B1
C1.5
D2
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Question 493
waec 2006
The ratio of boys to girls in a class is 5:3. Find the probability of selecting at random, a girl from the class
A\(\frac{1}{8}\)
B\(\frac{1}{3}\)
C\(\frac{3}{8}\)
D\(\frac{3}{5}\)
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Question 494
waec 2006
If tan y = 0.404, where y is acute, find cos 2y
A0.035
B0.719
C0.808
D0.927
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Question 495
waec 2006
A baker used 40% of a 50kg bag of flour. If \(\frac{1}{8}\) of the amount used was for the cake, how many kilogram of flour was used for the cake?
A2\(\frac{1}{2}\)
B6\(\frac{1}{2}\)
C15\(\frac{3}{8}\)
D17\(\frac{1}{2}\)
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Question 496
waec 2006
If 30% of y is equal to x, what in terms of x, is 30% of 3y?
A\(\frac{x}{9}\)
B\(\frac{x}{3}\)
Cx
D3x
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Question 497
waec 2006
A fair coin is tossed three times. Find the probability of getting two heads and one tail.
A\(\frac{1}{2}\)
B\(\frac{3}{8}\)
C\(\frac{1}{4}\)
D\(\frac{1}{8}\)
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Question 498
waec 2006
P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is
Aa straight line joining A and P
Bthe perpendicular bisector of AP
Ca circle with centre A
Dthe triangle with centre P
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Question 499
waec 2006
Given that y = 1 - \(\frac{2x}{4x - 3}\), find the value of x for which y is undefined
A3
B\(\frac{3}{4}\)
C\(\frac{-3}{4}\)
D-3
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Question 500
waec 2006
Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)
A\(\frac{x - 18}{12}\)
B\(\frac{x - 6}{12}\)
C\(\frac{x - 18}{24}\)
D\(\frac{x - 6}{24}\)
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