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An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50o, find, correct to 2 decimal places, the height of the mast.
A8.60m
B7.83m
C7.51m
D7.15m
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Question 3
waec2016
In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140o, find, correct to the nearest cm, the length of the chord MN.
A19cm
B18cm
C17cm
D12cm
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Question 4
waec2016
Halima is n years old. Her brother's age is 5 years more than half of her age. How old is her brother?
A\(\frac{n}{2} + \frac{5}{2}\)
B\(\frac{n}{2}\) - 5
C5 - \(\frac{n}{2}\)
D\(\frac{n}{2}\) + 5
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Question 5
waec2016
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
A30
B24
C18
D12
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Question 6
waec2016
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
A17.5
B19.0
C27.5
D28.0
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Question 7
waec2016
Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
A13, 19, 23
B9, 11, 13
C11, 15, 19
D13, 21, 34
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Question 8
waec2016
The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k
A- 8
B- 4
C4
D8
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Question 9
waec2016
A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue
A\(\frac{2}{9}\)
B\(\frac{5}{18}\)
C\(\frac{20}{81}\)
D\(\frac{5}{9}\)
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Question 10
waec2016
In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR
A20o
B40o
C60o
D80o
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Question 11
waec2016
Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
A\(\frac{1}{2}\)
Bp - 2r
C\(\frac{1}{p - 2r}\)
D\(\frac{2p}{p - 2r}\)
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Question 12
waec2016
If 20(mod 9) is equivalent to y(mod 6), find y.
A1
B2
C3
D4
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Question 13
waec2016
Examine M' \(\cap\) N from the venn diagram
A{f, g}
B{e}
C{e, f, g}
D{e, f, g}
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Question 14
waec2016
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
A70o
B60o
C55o
D42o
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Question 15
waec2016
The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.
A96cm2
B90cm2
C81cm2
D27cm2
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Question 16
waec2016
Express 1975 correct to 2 significant figures
A20
B1,900
C1,980
D2,000
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Question 17
waec2016
A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
A\(\frac{2}{3}\)
B2
C3
D6
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Question 18
waec2016
If log2(3x - 1) = 5, find x.
A2.00
B3.67
C8.67
D11
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Question 19
waec2016
The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range
A16
B14
C13
D11
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Question 20
waec2016
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
