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The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
A85o
B95o
C105o
D115o
E125o
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Question 702
waec1997
From the diagram above, which of the following is true?
Aa +b + x =180
Ba = b + x
Ca – b = 180 - x
Da + b = x + 180
Ea – b = x - 180.
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Question 703
waec1997
PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?
AΔ PGS = Δ QHR
BParallelogram PQRS = Δ QHR
CTrapezium PQXS = Δ QHR
DΔ PGS = Parallelogram GHRS
EParallelogram PQRS = Parallelogram GHRS
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Question 704
waec1997
Which of the following statements is/are true when two straight lines intersect?
I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary
AII only
BI and III only
CII and III only
DI, II and III
EI and II
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Question 705
waec1997
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
A2cm
B3cm
C4cm
D5cm
E6cm
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Question 706
waec1997
Which of the following is not necessarily sufficient for the construction of a triangle?
AThree sides
BTwo sides and an included angle
CTwo sides and a right angle
DTwo sides and an angle
ETwo angles and a side.
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Question 707
waec1997
The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
A34o
B35o
C36o
D37o
E40o
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Question 708
waec1997
Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]
A3.9cm
B12.6cm
C25.2cm
D38.4cm
E124.5cm
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Question 709
waec1997
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
A48cm3
B6Ocm3
C96cm3
D120cm3
E24Ocm3
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Question 710
waec1997
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
A64πcm2
B12Oπcm2
C184πcm2
D200πcm2
E32Oπcm2
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Question 711
waec1997
The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium
A21cm2
B4Ocm2
C8Ocm2
D150cm2
E300cm2
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Question 712
waec1997
Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).
A6400πkm
B6400km/π
C3200πkm
D3200km
E3200km/π
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Question 713
waec1997
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ
A9cm
B12cm
C14cm
D19.85cm
E23cm
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Question 714
waec1997
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
A-2 ≤ x < 3
B-2 < x ≤ 3
C-2 < x < 3
D-2 ≤ x ≤ 3
Ex ≥ 3
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Question 715
waec1997
P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9
A729/16
B6
C4
D16/9
E4/3
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Question 716
waec1997
Make q the subject of the relation t = √(pq/r - r\(^2\)q)
Aq = \(\frac{rt^2}{(p - r^3)}\)
Bq = \(\frac{t^2}{(p - r^2)}\)
Cq = \(\frac{rt}{(p - r^3)}\)
Dq = \(\frac{(p - r^3)}{rt^2}\)
Eq = rt\(^2\)(p - r\(^3\))
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Question 717
waec1997
Solve the equations: 4x -y = 11; 5x + 2y = 4.
Ax = 6, y = 13
Bx = -2, y = -3
Cx = -2, y = 3
Dx = 2, y = -3
Ex = 2, y = 3.
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Question 718
waec1997
Which of the following equations has its roots as 4 and -5?
