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A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area,...
(Solved)
A map has a scale of 1:25000 on this map; a square piece of land is represented by an area of 2cm². Calculate the
actual area, in hectares of the plot.
Date posted:
April 25, 2019
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Answers (1)
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Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q...
(Solved)
Find the equation of a perpendicular bisector of line PQ, in the form y = mx + C. If the coordinates of P and Q are
(-2, 6) and (4, -2) respectively.
Date posted:
April 25, 2019
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Answers (1)
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Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find...
(Solved)
Point B is 30m away from point A at a bearing of 1500. Point C is 25m from A at a bearing of 1200. Find how far C is from B.
Date posted:
April 25, 2019
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Answers (1)
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A point P has the coordinates (1, 2, 3).
(Solved)
A point P has the coordinates (1, 2, 3).
(a) the coordinates of point Q.
(b) the modulus of vector PQ.
Date posted:
April 25, 2019
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Answers (1)
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Reduce the following expression into a single fraction
(Solved)
Reduce the following expression into a single fraction.
Date posted:
April 25, 2019
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Answers (1)
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Evaluate without using Mathematical tables or the calculator.
(Solved)
Evaluate without using Mathematical tables or the calculator.
Date posted:
April 25, 2019
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Answers (1)
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The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and...
(Solved)
The cost C, of producing n items varies partly as n and partly as the inverse of n.
To produce two items it cost 50Sh and to produce six items it costs 70Sh.
Find;
(a) the constants of proportionality and hence write the equation connecting C and n.
(b) the cost of producing 12 items.
(c) the number of items produced at a cost of 106Sh.
Date posted:
April 25, 2019
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Answers (1)
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The diagram below shows a histogram marks obtained in a certain test.
(Solved)
The diagram below shows a histogram marks obtained in a certain test.
(a) Develop a frequency distribution table for the data if the first class 5-9 has a frequency of 8.
(b) Estimate the mean.
(c) Calculate interquatile range.
Date posted:
April 25, 2019
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Answers (1)
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The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height...
(Solved)
The diagram below shows a right pyramid VPQRS with V as the vertex and a rectangular base PQRS. PQ = 3cm, QR =4cm. The height of the pyramid is 6cm.PM = MQ and OQ = NR.
(a) Calculate.
(i) the length PV.
(ii) the angle between face VPQ and the base.
(b) (i) the slant height VM and VN.
(ii) What is the surface area of the pyramid?
Date posted:
April 25, 2019
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Answers (1)
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In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent...
(Solved)
In the figure below AOC is a diameter of the circle centre O. AB = BC and Angle ACD = 350, EBF is a tangent to the circle at B. G is a point on minor arc CD.
Calculate the size of the following angles giving reasons in each case.
(a) Angle BCD.
(b) Obtuse angle BOD.
(c) Angle BAD.
(d) Angle CGD.
(e) Angle AEB.
Date posted:
April 25, 2019
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Answers (1)
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Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.
(Solved)
Two towns A and B lie on the same parallel of latitudes 600N. If the longitudes of A and B are 420W and 290E respectively.
(a) Find the distance between A and B in nautical miles along the parallel of latitude.
(b) Find the local time at A if at B is 1.00pm.
(c) Find the distance between A and B in km.
(d) If C is another town due South of A and 10010km away from A, Find the co-ordinate of C.
Date posted:
April 25, 2019
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Answers (1)
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A two digit number is formed from the first four prime numbers.
(Solved)
A two digit number is formed from the first four prime numbers.
(a) Draw the table to show the possible outcomes.
(b) Calculate the probability that a number chosen from the two digits is even number.
Date posted:
April 25, 2019
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Answers (1)
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Find C that divide AB externally in the ratio 5: 2, given that
(Solved)
Find C that divide AB externally in the ratio 5: 2, given that
A (3, -6, 9) and B (-15, 3, 12).
Date posted:
April 25, 2019
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Answers (1)
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Points P, Q and R are points on the circumference of a circle. If PQ = PR = 13cm and QR = 10cm, what is...
(Solved)
Points P, Q and R are points on the circumference of a circle. If PQ = PR = 13cm and QR = 10cm, what is the radius of
the circle.
Date posted:
April 25, 2019
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Answers (1)
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Make P the subject of the formula.
(Solved)
Make P the subject of the formula.
Date posted:
April 25, 2019
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Answers (1)
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The mass of a mixture A of beans and maize is 72kg. The ratio of beans to maize is 3: 5 respectively. Find the mass...
(Solved)
The mass of a mixture A of beans and maize is 72kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of
maize in the mixture.
Date posted:
April 25, 2019
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Answers (1)
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An Arc of a circle of radius 40cm subtends an angle of 1260 at the centre of the circle.
(Solved)
An Arc of a circle of radius 40cm subtends an angle of 1260 at the centre of the circle.
(a) Calculate:
(i) the length of the arc.
(ii) the area of the sector.
(b) The sector is folded to form a cone.
Calculate:
(i) the radius of the base of the cone.
(ii) the height of the cone.
(iii) the capacity of the cone in litres.
Date posted:
April 25, 2019
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Answers (1)
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The displacement S metres of a moving particle after t seconds is given by
S = 2t³ - 5t² + 4t + 2
(Solved)
The displacement S metres of a moving particle after t seconds is given by
S = 2t³ - 5t² + 4t + 2
Determine
(a) the velocity of the particle when t = 2.
(b) the value(s) of t when the particle is momentarily at rest.
(c) the displacement when the particle is momentarily at rest.
(d) the acceleration of the particle when t = 5.
Date posted:
April 25, 2019
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Answers (1)
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A truck left town X at 11.45am and travelled towards town Y at an average speed of 60km/hr. A car left town X at
2.15pm on...
(Solved)
A truck left town X at 11.45am and travelled towards town Y at an average speed of 60km/hr. A car left town X at
2.15pm on the same day and travelled along the same road at an average speed of 100km/hr. The distance between
the two towns is 500km.
(a) Calculate the time of the day when the car overtook the truck.
(b) The distance from Y when the car overtook the truck.
(c) After overtaking the bus, both vehicles continued towards Y at their original speeds. Find how long the car had to
wait at town Y before the truck arrived.
Date posted:
April 25, 2019
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Answers (1)
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A trader bought 8 cows and 12 goats for a total of Ksh.294,000. If he had bought 1 more cows and 3 more goats he...
(Solved)
A trader bought 8 cows and 12 goats for a total of Ksh.294,000. If he had bought 1 more cows and 3 more goats he would have spend Ksh.337,500.
(a) Form two equations to represent the above information.
(b) Use matrix method to determine the cost of a cow and that of a goat.
(c) The trader sold the animals he had bought making a profit of 40% per low and 45% per goat.
(i) Calculate the total amount of money he received.
(ii) Determine his profit in Kenya shillings.
Date posted:
April 25, 2019
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Answers (1)