Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 331
waec 2012

Which of these statements about y = \(\sqrt{8m}\) is correct?

Alog y = log 8 x log \(\sqrt{m}\)
Blog y = 3 log 2 x \(\frac{1}{2}\) log m
Clog y = 3 log 2 - \(\frac{1}{2}\) log m
Dlog y = \(\frac{3}{2}\) log 2 + \(\frac{1}{2}\) log m
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Question 332
waec 2012
A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours
A\(\frac{8}{15}\)
B\(\frac{13}{25}\)
C\(\frac{11}{15}\)
D\(\frac{13}{15}\)
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Question 333
waec 2012
Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores
A\(\sqrt{10}\)
B4
C5
D\(\sqrt{30}\)
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Question 334
waec 2012

A kite flies on a taut string of length 50m inclined at tan angle 54o to the horizontal ground. The height of the kite above the ground is

A50 tan 30o
B50 sin 54o
C50 tan 54o
D50 sin 36o
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Question 335
waec 2012
If cos(x + 40)o = 0.0872, what is the value of x?
A85o
B75o
C65o
D45o
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Question 336
waec 2012

In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?

A/XY/ + /YZ/ = /XZ/
B/XY/ - /YZ/ = /XZ/
C/XY/2 = /Y/2 - /XY/2
D/YZ/2 = /XZ/2 + /XY/2
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Question 337
waec 2012
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
A360o
B252o
C246o
D234o
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Question 338
waec 2012
The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
A14cm
B9cm
C8cm
D7cm
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Question 339
waec 2012
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
Am \(\leq \frac{5}{4}\)
Bm \(\geq \frac{5}{4}\)
Cm \(\leq - \frac{1}{11}\)
Dm \(\geq - \frac{1}{11}\)
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Question 340
waec 2012
The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation
A12n - 6 = 0
B3n - 12 = 0
C2n - 35 = 0
D5n - 33 = 0
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Question 341
waec 2012
If x + y = 2y - x + 1 = 5, find the value of x
A3
B2
C1
D-1
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Question 342
waec 2012
Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
Ap = \(\frac{2q - rs}{6}\)
Bp = 2qr - sr - 3
Cp = \(\frac{2qr - s}{6}\)
Dp = \(\frac{2qr - rs}{6}\)
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Question 343
waec 2012
Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
A6(1 - 3k2)
B6(3k2 - 1)
C6(3k - 1)
D6(1 - 3k)
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Question 344
waec 2012
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
A5
B4
C3
D1
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Question 345
waec 2012
If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged
A5%
B7\(\frac{1}{2}\)%
C8%
D10%
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Question 346
waec 2012
Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
A25m/s
B150m/s
C250m/s
D500m/s
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Question 347
waec 2012
The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
A30
B16
C-16
D-30
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Question 348
waec 2012
Convert 3510 to number in base 2
A1011
B10011
C100011
D11001
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Question 349
waec 2012
In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
A50:11
B15:17
C13:55
D12:11
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Question 350
waec 2012

Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)

A\(\sqrt{2}\)
B\(\sqrt{5}\)
C2\(\sqrt{2}\)
D2\(\sqrt{5}\)
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