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- Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine...(Solved)
Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine the coordinates of P.
Date posted: September 16, 2019.
- A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage...(Solved)
A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage tap empties the bath tub in 2 minutes. If initially the bath tub is full and the three taps are opened at the same time. Find how long it takes to empty the bath tub.
Date posted: September 16, 2019.
- A curve has the equation . y= 3cos(4x + 600)
State
(a)amplitude
(b)Period
(c)phase angle.
(Solved)
A curve has the equation . y= 3cos(4x + 600)
State
(a)amplitude
(b)Period
(c)phase angle.
Date posted: September 16, 2019.
- The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...(Solved)
The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
ax2 + by2 + cx + dy + e = 0
Date posted: September 16, 2019.
- The table below shows some values if the function y= x2 + x + 1
(a) Fill the blank spaces in the table.
(b) Use mid – ordinate...(Solved)
The table below shows some values if the function y= x2 + x + 1
(a) Fill the blank spaces in the table.
(b) Use mid – ordinate rule with 5 strips to estimate the area bounded by the curve y= x2 + x + 1, y – axis, x-axis and the line x =5
Date posted: September 16, 2019.
- The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...(Solved)
The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.
Date posted: September 16, 2019.
- Write down the inequalities that define the region IR.(Solved)
Write down the inequalities that define the region IR.
![fig4716920191306.png](/questions/uploads/fig4716920191306.png)
Date posted: September 16, 2019.
- Given that 2log2t + logt2 = 3 Calculate the value of t.(Solved)
Given that 2log2t + logt2 = 3 Calculate the value of t.
Date posted: September 16, 2019.
- A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
(Solved)
A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
Date posted: September 16, 2019.
- Use completing squares method to solve for X
3x2 +18x + 15 = 0(Solved)
Use completing squares method to solve for X
3x2 +18x + 15 = 0
Date posted: September 16, 2019.
- Use logarithm tables to evaluate.(Solved)
Use logarithm tables to evaluate.
![fig4116920191244.png](/questions/uploads/fig4116920191244.png)
Date posted: September 16, 2019.
- In order to determine the molar heat of neutralization of 1M potassium hydroxide, 200cm³ of 1M hydrochloric acid both at the same temperature were mixed...(Solved)
In order to determine the molar heat of neutralization of 1M potassium hydroxide, 200cm³ of 1M hydrochloric acid both at the same temperature were mixed and stirred continuously with a thermometer. The temperature of the resulting solution was recorded after every 30 seconds until the highest temperature of the solution was attained.
(a) (i) Why was it necessary to stir the mixture of the two solutions?
(ii) Write an ionic equation for the reaction.
(b) The initial temperature for both solution was 24.5°C and the highest temperature attained by the mixture was 30.9°C. Calculate the
(i) heat change for the reaction.
(Specific heat capacity of the solution is
Density of the solution is
The volume of KOH used was 200cm³.
(ii) molar heat of the neutralisation.
(c) If ammonium hydroxide was used instead of potassium hydroxide the heat of neutralization would be different from the one obtained in b(ii) above.
Explain the difference.
(d) Draw an energy level diagram for the reaction between potassium hydroxide and hydrochloric acid.
Date posted: September 16, 2019.
- Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is...(Solved)
Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is raised by 155.If he gets tax relief of sh.720 per month calculate his P.A.Y.E
Date posted: September 16, 2019.
- Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as...(Solved)
Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as shown below.
![fig3816920191229.png](/questions/uploads/fig3816920191229.png)
Date posted: September 16, 2019.
- Figure 1 represents a bat wing. Figure 2 a whale paddle and figure 3 an insect wing. Study the diagrams and answer the questions that...(Solved)
Figure 1 represents a bat wing. Figure 2 a whale paddle and figure 3 an insect wing. Study the diagrams and answer the questions that follow.
(i) In figure 1, identify bones: H and E
(ii) Name the type of joint formed by bones H and E.
(iii) Identify the type of structures shown above and the type of evolution.
Structures:
Type of evolution:
Date posted: September 16, 2019.
- The figure below shows feet of various birds. Study the diagram and answer the questions that follow.(Solved)
The figure below shows feet of various birds. Study the diagram and answer the questions that follow.
(a) Giving a reason, state the type of food eaten by Bird E.
Food eaten:
Reason:
(b) Name the habitat of bird D and give a reason for your answer.
Habitat:
Reason:
(c) Identify the type of structures shown by the feet above and give a reason for your answer.
Type of structure:
Reason:
(d) State the type of evolution shown by the structures.
Date posted: September 16, 2019.
- Without using a set square or a protractor
(a)Construct a horizontal line AB, 6cm long and triangle ABC such that 0 and line AB =10cm.
(b)Construct a...(Solved)
Without using a set square or a protractor
(a)Construct a horizontal line AB, 6cm long and triangle ABC such that 0 and line AB =10cm.
(b)Construct a perpendicular from a to meet BC produced at N.
Measure CN.
(c)Construct triangle AIBC such that the area of triangle A1BC is three quarters of triangle ABC and A1 is on the same side of BC as A and lies on AB.measure A1B.
Date posted: September 16, 2019.
- Explain why lead carbonate is not reacted with dil. H2SO4 in preparation of carbon (IV) oxide in the laboratory.(Solved)
Explain why lead carbonate is not reacted with dil. H2SO4 in preparation of carbon (IV) oxide in the laboratory.
Date posted: September 16, 2019.
- You are provided with plant specimens below.(Solved)
You are provided with plant specimens below.
A) Construct a dichotomous key using the features given below in order.
(i) Leaf type
(ii) Leaf venation
(iii) Leaf colour
(iv) Leaf margin
(v) Number of leaflets
(vi) Attachment of leaflets
1) (a) Leaf simple ……………………………………………. go to 2
(b) …………………………………………………………………………….
2) (a) ……………………………………………………………………………
(b) Leaf with network venation …………………………… go to 4
3) (a) ……………………………………………………………………………
(b)…………………………………………………………………………….
4) (a) ……………………………………………………………………………
(b)…………………………………………………………………………….
5) (a) ……………………………………………………………………………
(b)…………………………………………………………………………….
6) (a) ……………………………………………………………………………
(b)…………………………………………………………………………….
B) Using the steps followed, identify the plant specimens provided.
![pic16920191216.png](/questions/uploads/pic16920191216.png)
Date posted: September 16, 2019.
- The table below shows ammeter readings obtained where different electrolytes of the same concentration were tested.(Solved)
The table below shows ammeter readings obtained where different electrolytes of the same concentration were tested.
Explain why ethanoic acid gave a lower ammeter reading the copper (II) sulphate solution.
Date posted: September 16, 2019.
- An experiment was carried out to determine the growth rates of bamboo and a variety of maize plants in two adjacent plots.The average height and...(Solved)
An experiment was carried out to determine the growth rates of bamboo and a variety of maize plants in two adjacent plots.The average height and average dry weight of plants from the two populations were determined over a period of twenty weeks. The data is as shown in the table below.
(a) Between which two weeks did the greatest increase in weight occur in:
(i) Bamboo plants:
(ii) Maize plants:
(b) (i) Which of the two types of plants had a higher productivity by the end of the experiment?
(ii) Give a reason for your answer in (b) (i) above.
(c) Between weeks 14 and 18, the average height of the maize plants remained constant while average dry weight increased.Explain this observation.
(d) Suggest how the change in the average dry weight bamboo and maize plants would have been at week 22 if the experiment was continued.
(e) Why was it appropriate for this experiment to use:
(i) Dry weight instead of fresh weight.
(ii) Weight and height.
(f) Describe how the average height and weight of the plants were determined in this experiment.
(i) Average height.
(ii) Average dry weight.
(g) Give a reason why secondary thickening does not occur in bamboo and maize plants.
Date posted: September 16, 2019.
- A plane flies from airport x(600S,300E) due North to airport Y.(300N,300E) at 180knots.
After 20 minutes stop over for fueling at Y,the plane flew due wet...(Solved)
A plane flies from airport x(600S,300E) due North to airport Y.(300N,300E) at 180knots.
After 20 minutes stop over for fueling at Y,the plane flew due wet to an airport Z(300N,150E) at the same speed.
(a)(i) Calculate the total distance covered by the plane in nautical miles
(ii) Calculate the total time taken to complete the journey from X through Y to Z.
(b) From a certain latitude a plane is first visible over the north pole. The plane is flying at a height of 800km above the North Pole, calculate the latitude angle
(R=6370km)
Date posted: September 16, 2019.
- Study the scheme given below and answer the questions that follow.(Solved)
Study the scheme given below and answer the questions that follow.
(i) Write an equation for the reaction between propan-l-ol and potassium metal.
(ii) Name process I and II.
(iii) Identify the products A and B.
(iv) Name one catalyst used in Process II.
(v) Draw the structural formula of the repeating unit in the polymer C.
(vi) Write the structural formula of 2, 3-dichloropropene.
Date posted: September 16, 2019.
- During an ecology, students collected and marked 40 ants and then released them. After 2 days, the students captured another 100 ants, 40 of which...(Solved)
During an ecology, students collected and marked 40 ants and then released them. After 2 days, the students captured another 100 ants, 40 of which had been marked previously.
(i) How many ants were there in the compound? Show your working.
(ii) Give two assumptions of this method in sampling animal population.
Date posted: September 16, 2019.
- (a)Fill the table below and use it to draw the graph of
(b) State the amplitude and period of the graph
(c) Use your graph to solve the...(Solved)
(a)Fill the table below and use it to draw the graph of
(b) State the amplitude and period of the graph
(c) Use your graph to solve the equation cos (θ - 300) =0.25
Date posted: September 16, 2019.
- Study the food web below representing a certain ecosystem and use it to answer the questions that follow.(Solved)
Study the food web below representing a certain ecosystem and use it to answer the questions that follow.
(i) Write down a food chain in which the vulture is a tertiary consumer.
(ii) What would be the effect of introducing gazelles and termites into the ecosystem?
Date posted: September 16, 2019.
- The equation below represents a certain physiological process. Study it and answer the questions below.(Solved)
The equation below represents a certain physiological process. Study it and answer the questions below.
(i) Name the above process.
(ii) Give two reasons for question (i) above.
(iii) Calculate the respiratory quotient of the compound that was as the substrate.
(iv) Identify the substrate being respired in the above equation.
(v) State one importance of this process to living organisms.
(vi) Name the organelle where the above process takes place in animal cells.
Date posted: September 16, 2019.
- In which homologous series does CH3 CH2 COOH belong?
(Solved)
In which homologous series does CH3 CH2 COOH belong?
Date posted: September 16, 2019.
- The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda...(Solved)
The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda the probability that he is late to school is 2/5 and if he uses a matatu the probability of being late is 3/10 . If he use other means of transport the probability of being late is 3/20 .
(a) Draw a tree diagram to represent this information.
(b) Find the probability that he will be late for school.
(c) Find the probability that he will be late for school if he does not use a matatu.
(d) What is the probability that he will not be late to school
Date posted: September 16, 2019.
- A man with normal skin colour got married to a woman with normal skin colour. They gave birth to three children; one of them an...(Solved)
A man with normal skin colour got married to a woman with normal skin colour. They gave birth to three children; one of them an albino.
(a) Identify the probable genotype of the parents using letter (A) for normal gene and (a) for defective gene.
Man:
Woman:
(b) Using a genetic cross; show the genotypes of the offspring.
(c) Give the phenotypic ratio of the offsprings.
Date posted: September 16, 2019.