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- In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900(Solved)
In the triangle, AB = 8.5cm, AC = 10cm and ABC = BDC = 900.
Calculate:
(i) The length of BC.
(ii) The length of BD.
Date posted: August 20, 2019.
- Differentiate between working storage and auxiliary storage .(Solved)
Differentiate between working storage and auxiliary storage .
Date posted: August 20, 2019.
- Give the plurals of the following words.(Solved)
Give the plurals of the following words.
i) folio
ii) hero
iii) postman
Date posted: August 20, 2019.
- Evaluate:(Solved)
Evaluate:
Date posted: August 20, 2019.
- The following computer components were displayed to inform computer students during a practical lesson.(Solved)
The following computer component were displayed to inform computer students during a practical lesson.
a) Identify the components in Figure 1 and Figure 2 above.
Figure 1-
Figure 2-
b) Explain how each of the components identified influences on the capability of a computer.
Date posted: August 20, 2019.
- The figure below shows a frustrum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU =...(Solved)
The figure below shows a frustum PQRSTUVW of a right pyramid. PQ = 20cm, QR = 15cm,UV = 10cm, UT = 7.5cm and PU = QV = RW = ST = 12cm.
Leave all your answer to 4 s.f.
(a) Find the altitude of the pyramid from which the frustum was cut.
(b) Find the angle between
(i) PW and base PQRS
(ii) PQVU and the base PQRS
Date posted: August 20, 2019.
- Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2(Solved)
Solve the pair of simultaneous equations using elimination method.
4x+9y=5
3x+3y=2
Date posted: August 20, 2019.
- Differentiate between merging cells and splitting cell in a table when using word processors.(Solved)
Differentiate between merging cells and splitting cell in a table when using word processors.
Date posted: August 20, 2019.
- Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression leaving your answer in prime factor form.(Solved)
Express the number 935 and 19845 as a product of their prime factors hence evaluate the following expression
leaving your answer in prime factor form.
Date posted: August 20, 2019.
- Given 2.421=2a/b. determine the values of a and b.(Solved)
Given 2.421=2a/b. determine the values of a and b.
Date posted: August 20, 2019.
- Find the length of AC in the figure below.(Solved)
Find the length of AC in the figure below.
Date posted: August 20, 2019.
- Explain five benefits that may accrue to Kenya as a result of joining the East Africa community.(Solved)
Explain five benefits that may accrue to Kenya as a result of joining the East Africa community.
Date posted: August 20, 2019.
- A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.(Solved)
A circle of radius 4.9cm fits exactly inside a square. Find the area of the space between the circle and the square.
Date posted: August 20, 2019.
- Mulwa started a hardware business on 1st Jan 2018. The following is a summary of his transactions during the month.(Solved)
Mulwa started a hardware business on 1st Jan 2018. The following is a summary of his transactions during the month.
Required
Record the above transactions in the appropriate journals.
Date posted: August 20, 2019.
- Read the following narrative and answer the questions that follow.(Solved)
Read the following narrative and answer the questions that follow.
Once upon a time, Warthog and Hare were best friends and they lived together. They shared duties according to each one’s abilities. Hare had speed, therefore, duties involving fetching or delivering items fast were left to him, while Warthog, who was gifted in cooking, handled kitchen duties. However, Warthog had his shortcomings. He lost his temper easily and was ready to fight at the slightest provocation. Hare tolerated him all the same.
Things were not always good in the kitchen. The two always quarrelled over missing food. Warthog was always on the defence, denying any wrong doing. One day, Hare bought five tilapia fish but warthog only served two. When he was asked what happened to the other three fish, as usual, Warthog insisted that he knew nothing about the missing fish. Hare was aware that arguing or fighting would not bring back the lost fish. He also knew that he was smaller and could never win a physical fight against warthog.
Not long after the missing fish incident, Hare and Warthog went hunting. They chanced upon a young gazelle too weak to run. They took the gazelle home and slaughtered it. Warthog as usual was the chef. Hare left him and went for a stroll as he waited for the meat to cook. When he returned, warthog, was sleeping under a shady tree, pretending to be very tired, after cooking. Hare opened the lid and Lo! There were only few pieces of meat left.
Hare was really angry and he threatened to beat Warthog up if he failed to account for the missing pieces. Under faked annoyance, Warthog pounced on hare mid-sentence and beat him up thoroughly. Hare promised to get even. That evening, hare went to see Mr. Squirrel who was the best known magician in the whole region. Squirrel gave him a pot of honey to take to Warthog. When he went back home, Hare feigned forgiveness and invited warthog to taste the honey.
Warthog approached him cautiously, he knew that Hare was quite tricky at times. He thought the pot might contain a snake.
So he started apologizing to Hare from a distance for beating him but Hare laughed it off, reminding him that the differences between them were history and they should both start anew. Warthog, who loved honey, approached hare and scooped some which he ate greedily. However, what he did not know was that it had passed through the hands of Squirrel who had laced it with poisonous herbs that would affect Warthog and his descendants.
After eating half the pot’s contents, Warthog felt dizzy and sleepy. When he woke up, he could not remember anything, his brain had been affected by the poisonous herbs. He forgot about his friendship and quarrel with Hare. He did not even remember eating the honey. He was so confused that he ran off into the bush. Warthog’s brain has never recovered. Till now he is always confused and forgetful.
a) Classify the above narrative
b) Identify and illustrate three features of style in the narrative.
c) What makes Warthog and Hare best friends?
d) What are the economic activities in the community where the story is taken from?
e) How has Hare been portrayed in the story?
f) What moral lesson do we learn from the above story?
Date posted: August 20, 2019.
- Express y in terms of x given that:-
10x2 - 9xy + 2y2 = 0(Solved)
Express y in terms of x given that:-
10x2 - 9xy + 2y2 = 0
Date posted: August 20, 2019.
- The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of...(Solved)
The distance from town A to town B is 360km. A bus left town A and traveled towards town B at an average speed of 60km/h. After 1½ hours, a car left town A and traveled along the same road at an average speed of 100km/h.
(a) Determine:
(i) The distance of the bus from town A when the car took off.
(ii) The distance the car traveled to catch up with the bus.
(b) The distance from P to Q is 160km. If an express train was 16km/h slower it would take 20 minutes longer on the journey. Find the average speed of the express train.
Date posted: August 20, 2019.
- Use mathematical tables to evaluate(Solved)
Use mathematical tables to evaluate
Date posted: August 20, 2019.
- A transformation represented by the matrix(Solved)
A transformation represented by the matrix 
maps the points A(0, 0), B(2, 0), C(2, 3) and D(0, 3) of the quad ABCD onto A¹B¹C¹D¹ respectively.
(a) Draw the quadrilateral ABCD and its image A¹B¹C¹D¹.
(b) Hence or otherwise determine the area of A¹B¹C¹D¹.
(c) Another transformation 
maps A¹B¹C¹D¹ onto A¹¹B¹¹C¹¹D¹¹. Draw the image A¹¹B¹¹C¹¹D¹¹.
(d) Determine the single matrix which maps A¹¹B¹¹C¹¹D¹¹ back to ABCD.
Date posted: August 20, 2019.
- In the given figure, 0, 0 and 0.(Solved)
In the given figure, 0, 0 and 0. BAF is a straight line.
Giving reasons where necessary, calculate the size of:-
(i)
Date posted: August 20, 2019.
- A tetrahedron has equilateral triangular base ABC of side 10cm.(Solved)
A tetrahedron has equilateral triangular base ABC of side 10cm. The vertex V is such that VA = VB = VC = 8cm. Calculate:
(a) The angle between the planes ABC and BCV
(b) The vertical height of the vertex V above the base ABC.
(c) Volume of the tetrahedron.
Date posted: August 20, 2019.
- On the grid provided below, draw the graph of y = (x + 4)(1 - 2x) for the range(Solved)
(a) On the grid provided below, draw the graph of y = (x + 4)(1 - 2x) for the range 
(b) On the same grid draw the line y + 3x = 2.
(c) Use your graph to solve the equations:
(i) (x + 4)(1 - 2x) = -5
(ii) -2 - 4x - 2x² = 0
Date posted: August 20, 2019.
- There is a tendency of firms being located where other firms exist. Highlight five disadvantages of this move.(Solved)
There is a tendency of firms being located where other firms exist. Highlight five disadvantages of this move.
Date posted: August 20, 2019.
- On 1st January 2019 Caleb traders had shs.110,000 in hand and shs 50,000 (cr) at bank. During the month, the following transactions took place:
Jan 2nd...(Solved)
On 1st January 2019 Caleb traders had shs.110,000 in hand and shs 50,000 (cr) at bank. During the month, the following transactions took place:
Jan 2nd Cash sales 40,000
3rd Paid postage expenses 4,100 in cash
5th received the following cheques from debtors after they had deducted 2% in each case, Kamau shs.2450, Loni Shs.9,604 and Tena shs.2940.
9th paid the following creditors in cash and in each case deducted 2% cash discount, willy shs 2,000 and Yaola shs.6,000.
13th Cash sales directly banked shs.10,000
16th sold goods worth shs.18,000 on credit to Kiyonga.
24th Receive shs. 18,000 cash from Oman in settlement of his account of shs.20,000
26th Took office cash to the bank leaving shs.40,000 only.
Prepare a duly balanced three column cash book.
Date posted: August 20, 2019.
- Two aeroplanes, T and S leave an airport A at the same time.(Solved)
Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 0600 at 750km/h while T flies on a bearing of 2100 at 900 km/h.
(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.
(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.
(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.
Date posted: August 20, 2019.
- Given below are some of the balances extracted from the books of Kings Traders on 31st May 2018.(Solved)
Given below are some of the balances extracted from the books of Kings Traders on 31st May 2018.
Prepare Kings Traders Trading Account for the year ended 31st August 2017.
Date posted: August 20, 2019.
- The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges...(Solved)
The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
measuring 6 cm by 8cm. The slant edges are each 26cm long.
Determine:
a) Height of the original pyramid.
b) Volume of the frustum.
c) Density in g/cm3 if the solid has a mass of 7.488kg
Date posted: August 20, 2019.
- Sketch and label the net of the prism shown below.(Solved)
Sketch and label the net of the prism shown below.
Date posted: August 20, 2019.
- Ouma runs a retail business. In 2018 he made sales of shs.40,000. His mark-up was 25%. Calculate his gross profit in 2018.(Solved)
Ouma runs a retail business. In 2018 he made sales of shs.40,000. His mark-up was 25%. Calculate his gross profit in 2018.
Date posted: August 20, 2019.
- The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1).(Solved)
The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1). Find its equation.
Date posted: August 20, 2019.