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Find the equation of a tangent to the curve y=x3 – 2x2 +3x -1 at x=2.
Date posted:
November 7, 2019
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A (-1, 3) and B (3, 5) are points on the Cartesian plane. Determine the equation of the perpendicular bisector of AB in the form ax + by +c=0.
Date posted:
November 7, 2019
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The figure below (Not drawn to scale) shows the cross-section of a metal bar of length 3metres. The ends are equal semi-circles. (use Π=3.142)
Determine the mass of the metal bar in kg if the density of the metal is 2.35g/cm3. (Give your answer to two 2dp).
Date posted:
November 7, 2019
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Results of the interaction between the Bantus and the Cushites in the pre-colonial period.
Date posted:
November 7, 2019
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State one House Committee of Parliament that deals with government financial matters
Date posted:
November 7, 2019
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The figure shows part of a cuboid ABCDEFGH complete the diagram showing the hidden edges with broken lines.
Date posted:
November 7, 2019
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The figure below is a velocity –time graph of a certain car.
a) Find the total distance traveled by the car.
b) Calculate the deceleration of the car.
Date posted:
November 7, 2019
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Evaluate. 
Date posted:
November 7, 2019
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student obtained ice at 0 degrees Cfrom a refrigerator and placed it in a beaker on a bench. After 4 minutes, the temperature rose to 4 degrees C. State the changes that would be observed in the water in terms of;
(i) density
(ii) mass
(ii) volume
Date posted:
November 7, 2019
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A coin is biased such that it shows a tail with the probability of 1/3 . The same coin is tossed three times find the probability of obtaining.
i) Two coins on the first two tosses.
ii) A head, a tail and a tail in that order.
iii) Two heads and one tail
Date posted:
November 7, 2019
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The probability that Peter will be selected for his school hockey team is 1/3. If he is selected for the hockey team, then the probability of being selected for basketball is 4/7 .
i) Draw a tree diagram to represent the above information.
ii) Using the tree diagram or otherwise, calculate the probability that Peter is selected for at least one of the terms.
Date posted:
November 7, 2019
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The figure below shows frustrum ABCDEFH of a right pyramid. AB = 24cm, BC = 10cm, FG = 18cm, GH=7.5cm and AF = BG = CH = DE = 15cm.
Determine.
a) The altitude of the pyramid.
b) The angle between:
i) AF and the base ABCD
ii) FE and GB
c) The distance AG
Date posted:
November 7, 2019
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The figure below shows a sketch of a curve y = 3x² - 5x + 8 from x = -4 to x = +2
a) Use the mid ordinate rule with 6 strips to estimate the area between the curve, the x-axis and line x=-4 and x = +2
b) Use integration to find the exact are in (a) above.
c) Calculate the 4s.f the percentage error in area estimated by the mid ordinate rule.
Date posted:
November 7, 2019
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Students in a form three class sat for a Chemistry exam which was marked out of 100 marks. The students were 100 in total. The table below shows the distribution of students and marks scored.
Determine:
a) The quartile deviation.
b) The passmark if 35% of the students failed.
c) The minimum mark required if only five students got grade A.
Date posted:
November 7, 2019
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What is soil conservation?
Date posted:
November 7, 2019
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A number 0.7 is truncated to 3.sf. Calculate the percentage error due to the truncation.
Date posted:
November 7, 2019
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Give the forms of business units
Date posted:
November 7, 2019
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You are to carry out a field study of a river within the vicinity of your school.
(i) State two reasons why you need a working schedule.
(ii) State two characteristics of a river you are likely to observe in its lower course.
(iii) State two follow up activities you are likely to carry out after the study.
Date posted:
November 7, 2019
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Find the terms of the series 2 + 6 + 10 + 14 + . . . . . . that will give a sum of 800.
Date posted:
November 7, 2019
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The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over 15 equal monthly installments, find the amount payable every month.
Date posted:
November 7, 2019
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Describe three processes by which a river transports its load.
Date posted:
November 7, 2019
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A variable N varies as the square of r and inversely as the square roots of P. What is in the percentage change in N if r is increased by 15% and P id deceased by 36%.
Date posted:
November 7, 2019
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A form four Geography class is planning to carry out a field study in Kakamega forest.
(i) State how they would use the following tools during the study.
- A tape recorder
- A sketch map
- A camera
(ii) Give three methods they would use to collect the data during the study
Date posted:
November 7, 2019
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The diagram below represents a kidney nephron.
(a) Name the parts labeled G, and H.
(b) Name the process that takes place in the glomerulus.
(c) Name the substances that are reabsorbed into the blood at the part labeled J.
(d) A patient was found to pass out large volumes of dilute urine.
(i) State the disease from which the patient was suffering from.
(ii) What is the cause of the disease stated in (d) (i) above?
(e) Name substance K.
Date posted:
November 7, 2019
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The diagram below shows a types of fold.
Name the features marked x, y and z
With the aid of a labelled diagram, describe how an over thrust fold is formed.
Explain four effects of fold mountains on climate.
Form four students in your school are planning to study land forms through field work.Give four reasons why it is important to study the folded land forms through fieldwork.
Date posted:
November 7, 2019
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Solve for the value of x if
Date posted:
November 7, 2019
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Work out the chance that a son of a normal man and a woman who is a carrier for haemophilia will be a haemophiliac. Let the gene for normal blood clotting be H.
Date posted:
November 7, 2019
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The diagram below represents a germinating seedling.
(i) State the type of germination shown in the diagram.
(ii) Name the part labeled E.
(iii) What is the function of the endosperm labeled F?
Date posted:
November 7, 2019
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Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1 : 2 : x respectively. After selling the mixture at sh 19.20 he made a profit of 20%. Find the value of x.
Date posted:
November 7, 2019
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Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.
Date posted:
November 7, 2019