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
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1997
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x.
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1997
Which of the following is not necessarily sufficient for the construction of a Q triangle?
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1997
The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
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1997
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]
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1997
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
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1997
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
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1997
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
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1997
Two points P and Q are on longitude 67oW. Their latitudes differ by 90o. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).
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1997
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ.
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1997
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
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1997
P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9
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1997
Make q the subject of the relation t = √pq/r - r2
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1997
Solve the equations: 4x -y = 11 5x + 2y = 4
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1997
Which of the following equations has its roots as 4and 5?
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1997
Solve me equation: 2/3 (x + 5) = 1/4(5x - 3)
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1997
Simplify log39 + log315 - log35
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1997
A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.
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1997
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
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1997
If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals