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- In the figure below E is the mid point of BC. AD: DC 3:2 and F is the meeting point of BD and AE.If AB...(Solved)
In the figure below E is the mid point of BC. AD: DC 3:2 and F is the meeting point of BD and AE.
If AB = b and AC = c
i) BD
ii) AE
b) If BF = t BD and AF = n AE. Find the value of t and n.
c) State the ratio of BD to BF.
Date posted: August 14, 2019. Answers (1)
- A group of people planned to contribute equally towards a water project which needed kshs. 2,000,000 to complete. However, 40 members of the group withdrew...(Solved)
A group of people planned to contribute equally towards a water project which needed kshs. 2,000,000 to complete. However, 40 members of the group withdrew from the project. As a result, each of the remaining members were to contribute ksh 2500 more.
(a) Find the original number of members in the group.
(b) Forty five percent of the value of the project was funded by Constituency Development Fund (CDF). Calculate the amount that would be made by each of the remaining members of the group.
(c) Members contribution were in terms of labour provided and money contributed. The ratio of the value of labour to the money contributed was 6:19, calculate the total amount of money contributed by the members.
Date posted: August 14, 2019. Answers (1)
- B is 102km on the bearing of 112° from A. C is 94km on the bearing of 062° from B D is 073°from A and...(Solved)
B is 102km on the bearing of 112° from A. C is 94km on the bearing of 062° from B D is 073° from A and 336° from C.
(a) Using a scale of 1cm to represent 20km,draw a diagram to show the positions of A,B,C and D.
(b) Using your diagram, determine;
i) The bearing of B from D and A from C.
ii) The distance AC and BD
Date posted: August 14, 2019. Answers (1)
- The vertices of a triangle are A(2,5), B(4,3) and C(2,3). H represents a half turn rotation about the point (0,2).
a) Draw triangles ABC and A',B',C'...(Solved)
The vertices of a triangle are A(2,5), B(4,3) and C(2,3). H represents a half turn rotation about the point (0,2).
a) Draw triangles ABC and A',B',C' under H
b)T represents a reflection in the line x = 0 and K represents a translation 
.Find the coordinates of A” , B”,C” of A’, B’,C’ under TK. Hence draw triangle A”B”,C”.
c) Find the area of triangle A”,B”,C’
Date posted: August 14, 2019. Answers (1)
- An aircraft flying at 800 knots leaves airport A(600N,120E) at 9am local time for airport B (600N,880W) along the parallel of latitude. Find the local...(Solved)
An aircraft flying at 800 knots leaves airport A(600N,120E) at 9am local time for airport B (600N,880W) along the parallel of latitude. Find the local time at B when the plane lands.
Date posted: August 14, 2019. Answers (1)
- Solve for m in;
Log5 – 2 + (2m+10) = log (m-4)(Solved)
Solve for m in;
Log5 – 2 + (2m+10) = log (m-4)
Date posted: August 14, 2019. Answers (1)
- Two similar containers have base areas 25cm2 and 324cm2 respectively. Calculate the Capacity of the larger container correct to one decimal place if the capacity...(Solved)
Two similar containers have base areas 25cm2 and 324cm2 respectively. Calculate the Capacity of the larger container correct to one decimal place if the capacity of the smaller one is 8cm3
Date posted: August 14, 2019. Answers (1)
- In the figure below ED and EA are tangents to the circle at D and A. DC is parallel to AB and0. Calculate the...(Solved)
In the figure below ED and EA are tangents to the circle at D and A. DC is parallel to AB and 0. Calculate the value of x.
Date posted: August 14, 2019. Answers (1)
- Two trains T1 and T2, traveling in opposite directions on parallel tracks are just beginning passone another. Train T1 is 72metres long and is traveling...(Solved)
Two trains T1 and T2, traveling in opposite directions on parallel tracks are just beginning pass one another. Train T1 is 72metres long and is traveling at 108km/hr.T2 is 78 metres Long and traveling at 72km/hr. Find the time in seconds the two take to completely pass one another.
Date posted: August 14, 2019. Answers (1)
- Without using a calculate or mathematical table, evaluate.(Solved)
Without using a calculate or mathematical table, evaluate.
Date posted: August 14, 2019. Answers (1)
- Pipe A empties a full tank in 8 hours, pipe B empties in 6 hours and pipe C empties in 3 hours. If all the three...(Solved)
Pipe A empties a full tank in 8 hours, pipe B empties in 6 hours and pipe C empties in 3 hours. If all the three pipes are open for 30 minutes and then pipe A closed , How long will it take to empty a full tank.
Date posted: August 14, 2019. Answers (1)
- Find the integral values of x for which:
-6 < 3x + 3
14 – 3x >2(Solved)
Find the integral values of x for which:
-6 < 3x + 3
14 – 3x >2
Date posted: August 14, 2019. Answers (1)
- Find the equation of a perpendicular bisector of a line AB if the coordinates of A and B are(-4,-2) and (6,2) respectively.(Solved)
Find the equation of a perpendicular bisector of a line AB if the coordinates of A and B are (-4,-2) and (6,2) respectively.
Date posted: August 14, 2019. Answers (1)
- Without using a calculator, evaluate,(Solved)
Without using a calculator, evaluate,
Date posted: August 14, 2019. Answers (1)
- In the figure below DA is a diameter of the circle ABCD centre o, radius 10cm. TCS is a tangent to the circle at c,...(Solved)
In the figure below DA is a diameter of the circle ABCD centre o, radius 10cm. TCS is a tangent to the circle at c, AB = BC and angle DAC = 38º
a) Find the size of the angle
i) ACS
ii) BCA
b) Calculate the length of;
i) AC
ii) AB
Date posted: August 14, 2019. Answers (1)
- A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks , frequencies...(Solved)
A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks , frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.
a) i) Complete the table.
ii) On the grid provided,draw the histogram.
b) i) State the group in which the median mark lies.
ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts. Using this information or otherwise, estimate the median mark.
Date posted: August 14, 2019. Answers (1)
- If x2 + y2 = 29 and x + y = 3
a) Without solving for x and y determine the values of
i) x2 + 2xy...(Solved)
If x2 + y2 = 29 and x + y = 3
a) Without solving for x and y determine the values of
i) x2 + 2xy + y2
ii) 2 x y
iii) x2 – 2xy + y2
iv) x – y
b) Find the values of x and y.
Date posted: August 14, 2019. Answers (1)
- In the figure below, O is the centre of the circle of radius 3cm and AB is a chord such that its shortest distance from...(Solved)
In the figure below, O is the centre of the circle of radius 3cm and AB is a chord such that its shortest distance from O is 1cm.
Calculate :
a) The length of the chord AB.
b) Angle AOB
c) The area of the minor sector OAB.
d) The area of the shaded segment.
Date posted: August 14, 2019. Answers (1)
- Mr. Barmuriat a farmer in Ainamoi division , Kericho District has a triangular field, ABC. The ratio of the length AB: AC = 6:7. If...(Solved)
Mr. Barmuriat a farmer in Ainamoi division , Kericho District has a triangular field, ABC. The ratio of the length AB: AC = 6:7. If BC = 40m and the perimeter of the field is 118m,.
a) Calculate the length AB and the area of the field.
b) A water tap is installed inside the field such that the tap is equidistant from each of the vertices of the plot. Calculate the distance of the tap from vertex A.
c) Find the size of the acute angles between the edges AB and BC.
Date posted: August 14, 2019. Answers (1)
- Two types of tea in Kericho grade A and grade B are mixed. Grade A costs sh. 85 per kg, and grade B costs sh....(Solved)
Two types of tea in Kericho grade A and grade B are mixed. Grade A costs sh. 85 per kg, and grade B costs sh. 70 per kg.
a) If the tea are mixed in the ratio 2:1, find the cost 2kg of the mixture.
b) The tea is to be sold in 2kg boxes at a 30% profit. Find the selling price of the tea.
c) At the end of the week the price of a 2kg box is reduced to sh. 125. Find the percentage reduction in the price .
d) Origianally 200kg of grade A and 100kg of grade B were bought 240kg of the mixture was sold at the price of part b, and the rest was sold at the reduced price of part C. Find the overall percentage profit.
Date posted: August 14, 2019. Answers (1)