Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.
The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]
A140m
B220m
C280m
D440m
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Question 12
waec2006
A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price
A1:4
B1:5
C3:4
D4:5
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Question 13
waec2006
If p = [\(\frac{Q(R - T)}{15}\)]\(^ \frac{1}{3}\), make T the subject of the relation
AT = R + \(\frac{P^3}{15Q}\)
BT = R - \(\frac{15P^3}{Q}\)
CT = R + \(\frac{P^3}{15Q}\)
DT = 15R - \(\frac{Q}{P^3}\)
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Question 14
waec2006
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 15
waec2006
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
A3
B4
C5
D6
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Question 16
waec2006
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 17
waec2006
If x + y = 12 and 3x - y = 20, find the value of 2x - y
A8
B10
C12
D15
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Question 18
waec2006
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 19
waec2006
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 20
waec2006
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 21
waec2006
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 22
waec2006
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 23
waec2006
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 24
waec2006
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). 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 25
waec2006
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). 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 26
waec2006
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 27
waec2006
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 28
waec2006
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 29
waec2006
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 30
waec2006
A fair coin is tossed three times. Find the probability of getting two heads and one tail.
