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In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|
A3cm
B4cm
C5cm
D6cm
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Question 2
waec2006
In the diagram what is x + y in terms of z?
A180o - z
B180o + z
Cz - 180o
Dz
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Question 3
waec2006
The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]
A6.28cm
B12.6cm
C22.6cm
D62.8cm
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Question 4
waec2006
If the pass mark was 4. What percentage of the pupils failed the test?
A20.0%
B37%
C62.5%
D80.0%
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Question 5
waec2006
How many pupils took the test?
A36
B38
C39
D40
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Question 6
waec2006
In the diagram, PQR is a straight line, QRST is a parallelogram, < TPQ = 72o and < RST = 126o. What type of triangle is \(\bigtriangleup\) PQT?
AAn equilateral triangle
BA right-angled triangle
CAn isosceles triangle
DA scalene triangle
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Question 7
waec2006
In the diagram, the two circles have a common centre O. If the area of the larger circle is 100\(\pi\) and that of the smaller circle is 49\(\pi\), find x
A2
B3
C4
D6
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Question 8
waec2006
In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110o and the bearing of Q from P is 050o. Find angle PQR.
A60o
B70o
C120o
D160o
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Question 9
waec2006
In the diagram P, Q, R, S are points on the circle RQS = 30o. PRS = 50o and PSQ = 20o. What is the value of xo + yo?
A260o
B130o
C100o
D80o
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Question 10
waec2006
In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58o. Find < QRS
A112o
B116o
C122o
D148o
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Question 11
waec2006
In the diagram, \(\frac{PQ}{RS}\), find xo + yo
A360o
B300o
C270o
D180o
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Question 12
waec2006
In the diagram, |QR| = 5cm, PQR = 60o and PSR = 45o. Find |PS|, leaving your answe in surd form.
A4\(\sqrt{5}\)cm
B3\(\sqrt{7}\)cm
C4\(\sqrt{6}\)cm
D5\(\sqrt{6}\)cm
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Question 13
waec2006
In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. |UV| = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV
A96cm2
B72cm2
C60cm2
D24cm2
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Question 14
waec2006
A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65o with the ground, how far up the electric pole does its top reach
A6.8m
B14.5m
C17.7m
D34.3m
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Question 15
waec2006
Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)
A\(\frac{5\sqrt{7}}{7}\)
B\(\frac{5\sqrt{5}}{7}\)
C\(\frac{7\sqrt{5}}{7}\)
D\(\frac{7\sqrt{7}}{5}\)
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Question 16
waec2006
The temperature in a chemical plant was -5oC at 2.00 am. The temperature fell by 6oC and then rose again by 7oC. What was the final temperature?
A-6oC
B-4oC
C4oC
D8oC
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Question 17
waec2006
Which of the following is not a measure of centre tendency?
Amean
Bmode
Crange
Dmedian
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Question 18
waec2006
A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangular floor. Calculate the area of the floor
A30m2
B57m2
C120m2
D225m2
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Question 19
waec2006
The values of three angles at a point are 3y - 45o, y + 25o and yo . Find the value of y.
A40o
B58o
C68o
D76o
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Question 20
waec2006
If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of P1 \(\cap\) Q1?
