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- The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is adisplacement from...(Solved)
The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is a displacement from the origin in meters and t is time of motion.
a) Find when the particle is instantaneously at rest.
b) Given that S = 2 when t = o find a in terms of t
c) Find acceleration of the particle
d) At what instant shall displacement of the particle be O?
Date posted: September 18, 2019.
- Below are diagram of simple succulent fruits. Study them carefully and use them to answer the questions that follow.(Solved)
Below are diagram of simple succulent fruits. Study them carefully and use them to answer the questions that follow.
a) What type of simple succulent fruit is :
i) Fruit A
ii) Fruit B .
b) Give reasons for your answers in 1(a) above.
i) Reasons for fruit A
ii) Reasons for fruit B
c) State the type of placentation found in :
i) Fruit A
ii) Fruit B.
d) With a reason state the mode of dispersal for fruit A
i) Mode of dispersal.
ii) Reason
Date posted: September 18, 2019.
- Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided...(Solved)
Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided PQ in the ratio 5:2 OS and RQ meet at T.
a) Express OS and QR in term of p an q.
b) Given that OT = KOS. Express OT in terms of K, p and q
c) (i) Given also that RT = h RQ, express OT interms of h , p and q
(ii) find the value of h and k
d) State the ratio in which Q divided RT.
Date posted: September 18, 2019.
- The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm
a) Find the height VO...(Solved)
The figure below shows a right pyramid on a square base ABCD of sides 4cm VA =VB = VC=VD = 8cm
a) Find the height VO of the pyramid.
b) The angle between slant edge and the base ABCD
c) The angle between the planes VBC and ABCD
d) Find volume of the pyramid in litres.
Date posted: September 18, 2019.
- A curve passes through the origin and its gradient function is 3x2 + 6x – 2
Find its equation (Solved)
A curve passes through the origin and its gradient function is 3x2 + 6x – 2
Find its equation
Date posted: September 18, 2019.
- The diagram below shows a cross-section through a pistil.(Solved)
The diagram below shows a cross-section through a pistil.
a) Name the structures labelled K, L and M
b) What do the following parts develop into after fertilization.
i) Part M
ii) Part L
iii) Part N
Date posted: September 18, 2019.
- The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the...(Solved)
The nth term of an AP is given by 2n+ 3. Find the first three terms hence show that the sum of the first n terms is given by Sn = n2 + 4n
Date posted: September 18, 2019.
- Wafula was asked to round off to 2/3 decimal places but he truncated it to 3 decimal places.Determine the percentage error as a result...(Solved)
Wafula was asked to round off 2/3 to 2 decimal places but he truncated it to 3 decimal places.
Determine the percentage error as a result of misunderstanding of the question
Date posted: September 18, 2019.
- An experiment was set up as shown below.(Solved)
An experiment was set up as shown below.
a) A student blew air in and out through point X. Using arrows, indicate on the diagram how air gets in and out of the setup.
b) i) In which of the test tube would lime water forms white precipitate first.
ii) Give a reason
Date posted: September 18, 2019.
- ABCD is a trapezium in which angle B = angle C=90oCalculate the length DC hence the area of the trapezium. (Solved)
ABCD is a trapezium in which angle B = angle C=90o
Calculate the length DC hence the area of the trapezium.
Date posted: September 18, 2019.
- In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm
and PQ=10cm. Calculate PX
(Solved)
In the circle below chords PQ and RS intersect internally at X. Given that RX = 8cm,XS = 3cm
and PQ=10cm. Calculate PX
![fig7918920191614.png](/questions/uploads/fig7918920191614.png)
Date posted: September 18, 2019.
- An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years
and realized Ksh. 50,499. Find the rate...(Solved)
An investor deposited 40,000 in a bank compounded at the rate of R p.a semi-annually for 2 years
and realized Ksh. 50,499. Find the rate of compound interest. Give your answer correctly to 4
significant figures
Date posted: September 18, 2019.
- Find the radius and centre of a circle whose equation is:
4x2 + 4y2 + 56x – 104y – 152 = 0 (Solved)
Find the radius and centre of a circle whose equation is:
4x2 + 4y2 + 56x – 104y – 152 = 0
Date posted: September 18, 2019.
- a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60o
b) Locate locus of a point...(Solved)
a) Construct a parallelogram PQRS such that PQ = 8cm PS = 4.5cm and angle QPS = 60o
b) Locate locus of a point x such that x is equidistant from P and R.
Date posted: September 18, 2019.
- Given that matrix A = find matrix B such that A2 = A + B (Solved)
Given that matrix A =
find matrix B such that A2 = A + B
Date posted: September 18, 2019.
- Expand (2+ x)6 upto the fourth term
Using the expansion solve ( 1.98)6 correct to 4 d.p(Solved)
Expand (2+ x)6 upto the fourth term
Using the expansion solve ( 1.98)6 correct to 4 d.p
Date posted: September 18, 2019.
- Find without using mathematical tables or calculator, the value of x which satisfy the equation.
Log2 (x2 – 9) = 3 log2 2 +1
(Solved)
Find without using mathematical tables or calculator, the value of x which satisfy the equation.
Log2 (x2 – 9) = 3 log2 2 +1
Date posted: September 18, 2019.
- Make A the subject of the formula (Solved)
Make A the subject of the formula
![fig6918920191547.png](/questions/uploads/fig6918920191547.png)
Date posted: September 18, 2019.
- Identify the type of muscle in human being where formation and effect of lactic acid is not felt.(Solved)
Identify the type of muscle in human being where formation and effect of lactic acid is not felt.
Date posted: September 18, 2019.
- Evaluate the following leaving your answer in surd form.(Solved)
Evaluate the following leaving your answer in surd form.
![fig6718920191543.png](/questions/uploads/fig6718920191543.png)
Date posted: September 18, 2019.
- Use logarithms table to evaluate(Solved)
Use logarithms table to evaluate
![fig6518920191536.png](/questions/uploads/fig6518920191536.png)
Date posted: September 18, 2019.
- In an experiment to investigate a product of photosynthesis, the set up was as shown in the diagram below. The apparatus was placed in the...(Solved)
In an experiment to investigate a product of photosynthesis, the set up was as shown in the diagram below. The apparatus was placed in the sun.
a) State the confirmation test for gas Y
b) Explain why Elodea is the most suitable plant for this experiment.
c) State the functions of the sodium hydrogen carbonate in the experiment.
Date posted: September 18, 2019.
- A student added equal amounts of blood to equal volumes of salt of different concentrations. She observed and counted the red blood cells at the...(Solved)
A student added equal amounts of blood to equal volumes of salt of different concentrations. She observed and counted the red blood cells at the beginning of the experiment and at end of the experiment. The results were as shown :
Account for the results in :
a) Set up A
b) Set up B
Date posted: September 18, 2019.
- The photograph below is two varieties of peppered moth Biston betularia resting on the bark of a tree.(Solved)
The photograph below is two varieties of peppered moth Biston betularia resting on the bark of a tree.
Explain using the photograph how natural selection will determine the survival of each variety.
Date posted: September 18, 2019.
- Study the flow diagram showing the role of the pancreas in controlling blood glucose concentration;(Solved)
Study the flow diagram showing the role of the pancreas in controlling blood glucose concentration;
i) Name the endocrine tissue labelled A.
ii) Name the hormone B produced by a cells.
iii) Name the hormone C produced by the B cells.
iv) Name the process represented by the dotted lines.
v) Briefly describe how hormone B brings about a rise in blood glucose concentration when it reaches
the liner.
Date posted: September 18, 2019.
- A manager wishes to hire two types of machine. He considers the following facts:
...(Solved)
A manager wishes to hire two types of machine. He considers the following facts:
Machine A Machine B
Floor space 2m3 3 m3
No. of men required to operate 4 3
He has a maximum of 24m2 of floor space and a maximum of 36 men available. In addition he is not allowed to hire more machines of type B than of type A.
(a)If he hires x machines of type A and y machines of type B, write down all the inequalities
that satisfy the above conditions.
(b)Represent the inequalities on the grid and shade the unwanted region.
(c)If the profit from machine A is sh. 4 per hour and that from using B is shs.8 per hour. What
number of machine of each type should the manager choose to give the maximum profit
Date posted: September 18, 2019.
- Taja baadhi ya maudhui yanayojitokeza katika hadithi ya tumbo lisiloshiba? (Solved)
Taja baadhi ya maudhui yanayojitokeza katika hadithi ya tumbo lisiloshiba?
Date posted: September 18, 2019.
- The table below shows marks scored by 100 form four students in a mathematics examination.
a) Draw an ogive to represent the above information.
(b) Using your...(Solved)
The table below shows marks scored by 100 form four students in a mathematics examination.
a) Draw an ogive to represent the above information.
(b) Using your graph, estimate:
(i) the median
(ii) the quartile deviation
(c) If the pass mark is 45%, how many students passed?
Date posted: September 18, 2019.
- Taja mifano ya taswira katika hadithi ya tumbo lisiloshiba? (Solved)
Taja mifano ya taswira katika hadithi ya tumbo lisiloshiba?
Date posted: September 18, 2019.
- Rates of tax in operation in 2010 are given in the table below:-K£ p.a Rate of tax %1-5208 105209-9744 259745-14292 2014293-18840 15Over 18840 30(a)Mr. Lukandu pays sh. 5,400 as P.A.Y.E...(Solved)
Rates of tax in operation in 2010 are given in the table below:-
K£ p.a..............Rate of tax %
1-5208.................10
5209-9744..............25
9745-14292.............20
14293-18840............15
Over 18840.............30
(a)Mr. Lukandu pays sh. 5,400 as P.A.Y.E monthly. He was entitled to house allowances of Ksh. 9,000 p.m and getting a monthly tax relief of sh. 1093. Calculate his monthly basic salary.
(b)Mr. Lukandu other deductions per month were;
Co-operative society contribution sh. 2,000
Loan payment sh. 2,500
Calculate his net salary per month.
Date posted: September 18, 2019.