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- Identify the stationery points of the curve y = x3 – 6x2 + 9x – 4 and state their nature.(Solved)
Identify the stationery points of the curve y = x3 – 6x2 + 9x – 4 and state their nature.
Date posted: October 30, 2019.
- Given the equation
Express t in terms of m(Solved)
Given the equation
Express t in terms of m
Date posted: October 30, 2019.
- Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely...(Solved)
Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely to win as Geoffrey. Find the probability that.
a)Geoffrey wins the race
b)James does not win the race.
Date posted: October 30, 2019.
- Solve for theta in the domain 00<=theta<= 36002cos2theta = -0.7071(Solved)
Solve for theta in the domain 00=theta= 3600
2cos2theta = -0.7071
Date posted: October 30, 2019.
- The velocity (V) of a roller-scatter on a straight road is given by V= 3t2 + 5t – 8 m/s where t is time in...(Solved)
The velocity (V) of a roller-scatter on a straight road is given by V= 3t2 + 5t – 8 m/s where t is time in seconds. Find his acceleration at time t=2 second.
Date posted: October 30, 2019.
- A triangle ABC whose area is 4cm2 is mapped onto triangle A1B1C1 whose area is 64cm2 under a transformation matrix
a)Calculate the possible values of...(Solved)
A triangle ABC whose area is 4cm2 is mapped onto triangle A1B1C1 whose area is 64cm2 under a transformation matrix
a)Calculate the possible values of n
b)Find the image of A(3,4) under the above matrix transformation where n<0
Date posted: October 30, 2019.
- A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money...(Solved)
A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.
Date posted: October 30, 2019.
- Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7(Solved)
Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7
Date posted: October 30, 2019.
- Use logarithm tables to evaluate the following to four significant figures. (Solved)
Use logarithm tables to evaluate the following to four significant figures.
Date posted: October 30, 2019.
- The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter...(Solved)
The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter and has a mass of 48.5kg.
Calculate:
a)The total surface area of the dome.
b)The cost of painting the dome.
c)The volume of the material making the dome.
d)The density of the material in kg/m3 to 2 significant figures.
Date posted: October 30, 2019.
- The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST...(Solved)
The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 350 and RT and QS are diameters. Giving reasons for your answer, find the size of:
a)Acute angle ROS.
b)Angle RQS.
c)Angle PQR.
d)Angle QPT.
e)Angle PQT.
Date posted: October 29, 2019.
- The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the...(Solved)
The table below shows a field book with measurements of a rice field. (AG = 250m)
a)Make a sketch drawing of the rice field.
b)Find the area of the rice field in hectares.
Date posted: October 29, 2019.
- a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve...(Solved)
a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x2 + 3x – 6 = 0
ii) 2x2 + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.
Date posted: October 29, 2019.
- Find the range of value of x which satisfy the inequality below:(Solved)
Find the range of value of x which satisfy the inequality below:
Date posted: October 29, 2019.
- (a) State three characteristics of cyclonic rainfall (3mks) (b) Identify two conditions that favours formation of a Dew (2mks)(Solved)
(a) State three characteristics of cyclonic rainfall (3mks)
(b) Identify two conditions that favours formation of a Dew (2mks)
Date posted: October 29, 2019.
- (a)Name two forces responsible for the spherical shape of the earth (2mks) (b) Give three reasons why interior part of the earth is very hot (3mks)(Solved)
1. (a) Name two forces responsible for the spherical shape of the earth (2mks)
(b) Give three reasons why interior part of the earth is very hot (3mks)
Date posted: October 29, 2019.
- A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much.(Solved)
A rectangle which measures 48cm by 27cm has the same area as a square. Find which figure has the greater perimeter and by how much.
Date posted: October 29, 2019.
- Read the narrative below and then answer the questions that follow. A greedy Old Man and the Sausage. Once upon a time, there lived an...(Solved)
3. ORAL SKILLS
(a) Read the narrative below and then answer the questions that follow.
A greedy Old Man and the Sausage
Once upon a time, there lived an old man. One day he paid a visit to his in-laws. On entering the house of his mother-in-law, he found that she had been roasting some meat, among which was delicious looking sausage and she was not in the house. He immediately took the sausage and quickly shoved it into his quiver. And it so happened that a piece of live coal had got stuck on the sausage but the old man didn’t know. He quickly shut the quiver.
No sooner had he sat down than the owner of the house came in. They sat down to talk about the children’s health. When they had finished, it was time for the old man to return to his home. Just then, the woman noticed smoke issuing from the quiver and asked the old man; “Paker, how come the quiver is smoking? The man answered, “Oh. It’s some naughty fire stick with a soft head that smokes whenever it comes into contact with soft wood and the arrows.” The woman kept quiet and got up to escort her guest.
When they had walked only a short distance, the fire made a hole in the quiver and the arrows fell out, tak! together with the stolen sausage. The lady, who was walking closely behind, exclaimed: ‘see, had I not known it! Then the old man fearing that his sausage might be eaten shouted, “Oh, my Paker, Please do not do it!”
So while the lady ran home in shame, the greedy old man continued with his journey in extreme embarrassment. They showed each other their backs and there ends the story.
Questions
i) State three things a narrator would do to draw the audience’s attention at the beginning of the story (3mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
ii) Describe how a narrator would perform line 4-6 of the second paragraph (2mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
iii) Explain four ways in which audience can indicate active listening in the performance of this narrative (4mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
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iv) Apart from using the ending formula, how else would a narrator signal to the audience the ending of his story? (1mk)
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
3b. For each of the following words, identify the silent letter (5mks)
(i) Satchet
(ii) Tomb
(iii) Married
(iv) Mortgage
(v) Champagne
3c. Pick the odd word out based on the pronunciation of the underlined vowel sounds
(4mks)
(i) Cup, bury, hut cut
(ii) Pail, paper, patron, patter
(iii) Cold, corn, cohort, convoke
(iv) Brook, broom, brood, boot
3d. You have been summoned to the Discipline Teacher’s Office. You are in possession of a bag that was reportedly missing. Complete the gaps in the following conversation.
Discipline Teacher (knock!) Yes, come in, Good morning
Me…………………………………………………………………… (1mk)
Discipline teacher: Are you innocent Kibaya?
Me…………………………………………………………………….. (1mk)
Discipline teacher: Tell me about this missing bag.
Me…………………………………………………………………….. (2mks)
Discipline teacher: Do you have any substantial proof?
Me……………………………………………………………………..
………………………………………………………………………
……………………………………………………………………… (2mks)
Discipline teacher: Okey Innocent, I find your explanation convincing.
I feel it was a case of mistaken identity.
Me…………………………………………………………………….. (1mk)
3e. You are giving verbal directions to a stranger in your estate. What are the main parts to consider? (4mks)
Date posted: October 29, 2019.
- Solve for x in the equation
(Solved)
Solve for x in the equation
Date posted: October 29, 2019.
- Fill in each of the following spaces in the passage below with the most appropriate word. The donkey has always been looked on...(Solved)
2. CLOZE TEST (10 MARKS)
Fill in each of the following spaces in the passage below with the most appropriate word.
The donkey has always been looked on (1)__________________ the less impressive cousin of the horse. It (2) __________________ rather silly with its big, floppy (3) _________________ and short, sturdy legs. It also makes an unbecoming loud braying (4) _________________________ probably (5) ____________________ of its appearance and bray. It is always (6)_______________________ in folk tales as a silly creature.
Yes, donkeys that live (7) ____________________ the wilderness are fine looking and well built creatures. They are sociable and (8) _______________________ an average life span longer than (9)______________________ of horses . Wild donkeys can (10) ________________ even faster than horses.
Date posted: October 29, 2019.
- You are a member of the Wild Life Club in your school, a sponsor has requested you to sent him an email...(Solved)
1. FUNCTIONAL SKILLS (20 MARKS)
You are a member of the Wild Life Club in your school, a sponsor has requested you to sent
him an email including minutes of a meeting in which you requested for assistance to plant
trees in the school compound.
Date posted: October 29, 2019.
- A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1...(Solved)
A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1 and 15. Find the number formed.
Write the number in words.
Date posted: October 29, 2019.
- A curve whose gradient function is 3x2 -3 has its two stationary points, one at point ( -1, 8) and the other at point (...(Solved)
A curve whose gradient function is 3x2 -3 has its two stationary points, one at point ( -1, 8) and the other at point ( 1, b). Find its equation and the value of b.
Date posted: October 29, 2019.
- Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65(Solved)
Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65
Date posted: October 29, 2019.
- Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the...(Solved)
Katuku is three years younger than Mueni. Mwikali is 5years younger than the sum of the ages of Katuku and Mueni. The sum of the ages of the 3 girls is 41. Find the age of each girl.
Date posted: October 29, 2019.
- Given that x, y and z are integers and that 8 = x = 10,5 = y = 7,4 = z = 6
Find...(Solved)
Given that x, y and z are integers and that 8 ≤ x ≤ 10,5 ≤ y ≤ 7,4 ≤ z ≤ 6
Find the percentage error in
Date posted: October 29, 2019.
- A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the...(Solved)
A solid metal sphere of radius 7.5cm is melted down and recast into a solid cylinder of height 15cm. In the process 4% of the metal is lost. Calculate:
a)In terms of π the volume of metal used to make the cylinder.
b)The radius of the cylinder
Date posted: October 29, 2019.
- Evaluate without using calculator:(Solved)
Evaluate without using calculator:
Date posted: October 29, 2019.
- Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A,...(Solved)
Given that point A(-2, 4) B(3, 1) and C (13, -5), express AB and AC as column vectors and hence show that the point A, B and C are collinear.
Date posted: October 29, 2019.
- A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of...(Solved)
A bus driver travelled the first 130km at an average speed at 65km/h. For the next three hours he travelled at an average speed of 50km/h. Find the average speed of 50km/h.
Find the average speed for the whole journey.
Date posted: October 29, 2019.