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In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A,...
(Solved)
In the figure below O is the centre of the circle. A, B, C and D are points on the circumference of the circle. A, O, X,C and E are on a straight line. DE is a tangent to the circle at D. Angle BOC = 480 and angle CAD = 360
a) Find the value of;
(i) Angle CBA.
(ii) Angle BDE.
(iii) Angle CED.
b) If AX = 12cm, XC = 4cm, DB = 14cm and DE = 15cm. Calculate;
(i) DX.
(ii) AE.
Date posted:
August 27, 2019
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Answers (1)
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The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and...
(Solved)
The boats X, Y and Z are such that Y is 500km on a bearing of 0300 from X. Z is 750km from Y and on a bearing of 1400 from X. Calculate;
a) The distance of Z from X.
b) The bearing of X from Z.
c) The shortest distance from X to the direct route between Y and Z.
d) Boat S is sighted 900km due east of Y. Calculate the distance of S from Z.
Date posted:
August 27, 2019
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Answers (1)
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A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket...
(Solved)
A bucket is in the shape of a frustum with a base radius 14 cm and top radius 21 cm. The height of the bucket is 20 cm as shown below. The bucket contains water to a depth of 10 cm.
a) Calculate the volume of the water in the bucket.
b) All the water is poured into a cylindrical container of radius 14 cm. If the height of the cylinder is 30 cm, calculate the internal surface area of the cylinder which is not in contact with the water.
Date posted:
August 27, 2019
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Answers (1)
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In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and...
(Solved)
In the figure below, angle ACD = angle ABC. AD = 12cm, AC = 18cm and BC = 21cm. Find the length of BD and DC.
Date posted:
August 27, 2019
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Answers (1)
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If A = 2.3, B = 8.7 and C = 2.0 find the % error in
(Solved)
If A = 2.3, B = 8.7 and C = 2.0 find the % error in
Date posted:
August 26, 2019
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Answers (1)
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If (M + n) : (M – n) = 8: 3. Find the ratio M: n.
(Solved)
If (M + n) : (M – n) = 8: 3. Find the ratio M: n.
Date posted:
August 26, 2019
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Answers (1)
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Use reciprocal, squares and square root tables only to evaluate the expression.
(Solved)
Use reciprocal, squares and square root tables only to evaluate the expression.
Date posted:
August 26, 2019
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Answers (1)
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Using logarithm tables only, evaluate
(Solved)
Using logarithm tables only, evaluate
Date posted:
August 26, 2019
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Answers (1)
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Using a ruler a pair of compass only;(a) Draw line AB 6cm long. On one side of line AB, construct the locus of point P...
(Solved)
Using a ruler a pair of compass only;
(a) Draw line AB 6cm long. On one side of line AB, construct the locus of point P such that angle APB = 45°
(b) Locate two points P1 and P2 on the locus of point P such that angle AP1B = angle AP2B = 45° and the area of triangle AP1B = AP2B = 12cm2.
c) Locate point Q on the locus of P such that the area of triangle AQB is maximum, hence find the maximum area.
Date posted:
August 26, 2019
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Answers (1)
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A company receives 470kg of tea leaves in a day. This is packed in 100g, 250g and 500g packets such that the number of 100g...
(Solved)
A company receives 470kg of tea leaves in a day. This is packed in 100g, 250g and 500g packets such that the number of 100g packets is twice the number of 250g packets and three times the number of 500g packets.
How many packets of each type are packed in a day.
Date posted:
August 26, 2019
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Answers (1)
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Under an enlargement scale factor -2, the image of A( 2 ,4) is A’(-1 ,-2). Under the same enlargement, the image of D( x ,y)...
(Solved)
Under an enlargement scale factor -2, the image of A( 2 ,4) is A’(-1 ,-2). Under the same enlargement, the image of D( x ,y) is D’(3, -2). Find the coordinates of the object D.
Date posted:
August 26, 2019
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Answers (1)
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An aeroplane leaves town A (83°N, 155°W) to town B (40°N, 25°E) using the shortest route at a speed of 450 knots. (Take p =...
(Solved)
An aeroplane leaves town A (83°N, 155°W) to town B (40°N, 25°E) using the shortest route at a speed of 450 knots. (Take π = 3.142 and radius of the earth R = 6370km).
(a) (i) Calculate the distance between A and B in nautical miles.
(ii) Calculate the time taken to travel from town A to B
(b) From B, the plane flies westwards along the latitude to town C (40°N, 13°W). Calculate the distance BC in kilometers.
(c) From town C, the plane took off at 3:10 pm towards town D (10°N, 13°W), at the same speed. At what time did the plane land at D?
Date posted:
August 26, 2019
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Answers (1)
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Simplify without using tables or calculator.
(Solved)
Simplify without using tables or calculator.
Date posted:
August 26, 2019
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Answers (1)
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A two digit number is such that its value equals four times the sum of its digits. If 27 is added to the number the...
(Solved)
A two digit number is such that its value equals four times the sum of its digits. If 27 is added to the number the result is equal to the value of the number obtained when the digits are interchanged. What is the number?
Date posted:
August 26, 2019
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Answers (1)
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Form the three inequalities that satisfy the given region R. Given lines A, B and C.
(Solved)
Form the three inequalities that satisfy the given region R. Given lines A, B and C.
Date posted:
August 26, 2019
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Answers (1)
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Points P, Q and R are on the same horizontal ground such that point P is due south of R and point Q is due...
(Solved)
Points P, Q and R are on the same horizontal ground such that point P is due south of R and point Q is due west of point R. S is a point at the top of a tower, 20m vertically above R. The angles of elevation of S from P and Q are 27° and 35° respectfully. Calculate to the nearest degree, the bearing of Q from P.
Date posted:
August 26, 2019
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Answers (1)
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Solve for x and y in the simultaneous equation below.
xy + 6 = 0
x – 2y = 7
(Solved)
Solve for x and y in the simultaneous equation below.
xy + 6 = 0
x – 2y = 7
Date posted:
August 26, 2019
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Answers (1)
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The thickness of a mathematics text book is 0.8cm. Eight such books are piled together on a table. Find the limit within which the height...
(Solved)
The thickness of a mathematics text book is 0.8cm. Eight such books are piled together on a table. Find the limit within which the height of the pile lies.
Date posted:
August 26, 2019
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Answers (1)
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Water flows from a pipe at the rate of 250 litres per minute. If the pipe is used to drain a tank full of water measuring...
(Solved)
Water flows from a pipe at the rate of 250 litres per minute. If the pipe is used to drain a tank full of water measuring 3.2m by 2.5m by 2m, how many minutes would it take to drain the tank completely?
Date posted:
August 26, 2019
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Answers (1)
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A coffee blender mixes 6 parts of type A with 4 parts of type B. type A costs sh. 72 while type B costs sh....
(Solved)
A coffee blender mixes 6 parts of type A with 4 parts of type B. type A costs sh. 72 while type B costs sh. 66 per kg. At what price should he sell the mixture per kg in order to make 5% profit give your answer to the nearest ten cents.
Date posted:
August 26, 2019
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Answers (1)