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- The 2nd, 4th and 7th terms of an AP are the first 3 consecutive terms of a GP. If the common difference of the AP is 2 , find the common ratio of the G.p
The 2nd, 4th and 7th terms of an AP are the first 3 consecutive terms of a GP. If the common difference of the AP is 2 , find the common ratio of the G.p
Form 3, Mathematics: Sequences and Series
Date posted: March 5, 2019.
- Oketch sells his car to Jane and makes a profit of 17%. Jane sells the same car to Issa at Sh.300,000, making a loss of 10%.Determine the price at which Oketch bought the car.
Oketch sells his car to Jane and makes a profit of 17%. Jane sells the same car to Issa at Sh.300,000, making a loss of 10%.Determine the price at which Oketch bought the car.
Form 1, Mathematics: Commercial Arithmetic 1
Date posted: March 5, 2019.
- A straight line passes through points A (-2, 6) and B (4, 2).M is the midpoint of line AB. Find the
co-ordinates of M.
A straight line passes through points A (-2, 6) and B (4, 2).M is the midpoint of line AB. Find the
co-ordinates of M.
Form 1, Mathematics: Co-ordinates and graphs
Date posted: March 5, 2019.
- A rectangle whose area is 96m2 is such that its length is 4m longer than its width.
A rectangle whose area is 96m2 is such that its length is 4m longer than its width. Find
a) Its dimensions.
b) Its perimeter.
Form 2, Mathematics: Quadratic Equations and Expressions
Date posted: March 5, 2019.
- Use the information in the table about group 1 elements to answer the questions that follow
Use the information in the table about group 1 elements to answer the questions that follow
When the group 1 elements react with water, hydrogen gas is given off. The...
Form 2, Chemistry: The structure of the atom and the Periodic table
Date posted: March 5, 2019.
- An organic compound J has the following percentage by mass, carbon, 64.86%, hydrogen, 13.51% and
the rest oxygen. The relative molecular mass of the compound is 74.
An organic compound J has the following percentage by mass, carbon, 64.86%, hydrogen, 13.51% and
the rest oxygen. The relative molecular mass of the compound is 74. Work out the molecular formula of
compound J. [C=12. H=1 O=16]
Form 3, Chemistry: Mole Concept
Date posted: March 5, 2019.
- Complete the table below to show the number of the sub-atomic particles of the given nuclides. X and Y are not actual chemical symbols.
Complete the table below to show the number of the sub-atomic particles of the given nuclides. X and Y are not actual chemical symbols.
Form 2, Chemistry: The structure of the atom and the Periodic table
Date posted: March 5, 2019.
- 100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
a).Calculate the number of moles of...
Form 3, Chemistry: Mole Concept
Date posted: March 5, 2019.
- 120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
Form 3, Chemistry: Gas Laws
Date posted: March 5, 2019.
- 10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C.
10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C. Calculate the molar enthalpy of combustion of ethanol.
(H = 1, C = 12, O = 16. Specific heat capacity...
Form 4, Chemistry: Energy changes in chemical and physical processes
Date posted: March 4, 2019.
- Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4)
Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4.Show by calculation which of these fertilizers contains the greater percentage of...
Form 3, Chemistry: Nitrogen and its Compounds
Date posted: March 4, 2019.
- In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
Mass of empty evaporating dish = 26.2g
Mass of evaporating dish + saturated solution = 42.4g
Mass of evaporating dish + dry solid = 30.4g
Use the...
Form 4, Chemistry: Acids,bases and salts
Date posted: March 4, 2019.
- The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
Calculate the relative atomic mass...
Form 2, Chemistry: The structure of the atom and the Periodic table
Date posted: March 4, 2019.
- A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
Form 3, Chemistry: Gas Laws
Date posted: March 4, 2019.
- The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
Form 1, Mathematics: Angles and Plane Figures
Date posted: March 1, 2019.
- The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
Form 2, Mathematics: Similarity and Enlargement
Date posted: March 1, 2019.
- Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: March 1, 2019.
- Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Form 1, Mathematics: Commercial Arithmetic 1
Date posted: March 1, 2019.
- Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Form 3, Mathematics: Sequences and Series
Date posted: March 1, 2019.
- Kamau withdrew some money from the bank.
Form 1, Mathematics: Fractions
Date posted: March 1, 2019.
- The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
Form 4, Mathematics: Calculus
Date posted: March 1, 2019.
- Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Form 2, Mathematics: Evaluation of Numerical Expressions
Date posted: March 1, 2019.
- The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
Form 3, Mathematics: Vectors 2
Date posted: March 1, 2019.
- A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
A quantity P varies directly as R and inversely as the square root of Q. Find the percentage change in P
if R is increased by 40% and Q decreases by 36%.
Form 3, Mathematics: Formula and Variation
Date posted: March 1, 2019.
- A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking pi = 22/7
and radius of the earth R = 6370 km,
A pilot starts flying from city M to city P. Given that M (30°N, 70°E) and P (30°N, 20°W) taking?? =3.14
and radius of the earth R = 6370 km, Calculate:
(a) the distance between city M and city P along the parallel of latitude.
(i) in km
(ii) in nm
b)The local time at city M if the...
Form 4, Mathematics: Longitude and Latitude
Date posted: March 1, 2019.
- The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
The line which joins A(3,k) and B(-2, 5) is parallel to the line whose equation is 5y + 2x = 7
Find the value of k
Form 2, Mathematics: Equations of Straight Lines
Date posted: March 1, 2019.
- Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.
Each member of a class take one and only one of the three foreign languages: French, Germany and Spanish. 15 pupils take French, 9 take Germany and 6 take Spanish.If two students are chosen at random.
i. Draw a tree diagram to represent the above information.
Hence, find:
ii. The probability that...
Form 3, Mathematics: Probability
Date posted: March 1, 2019.
- A rugby player of mass 75kg, running east at 8.0 m/s, tackles another player of mass 90kg and who is running directly towards him at 5.0m/s. If the two players cling together, determine their common velocity.
A rugby player of mass 75kg, running east at 8.0 m/s, tackles another player of mass 90kg and who is running directly towards him at 5.0m/s. If the two players cling together, determine their common velocity.
Form 3, Physics: Linear Motion
Date posted: February 27, 2019.
- Sea water of density 1.04g/cm3 is being pumped into a tank through a pipe of uniform Cross-sectional area of 3.142cm2. If the speed of water in the pipe is 5m/s, determine the Volume flux in S.I units.
Sea water of density 1.04g/cm3 is being pumped into a tank through a pipe of uniform Cross-sectional area of 3.142cm2. If the speed of water in the pipe is 5m/s, determine the Volume flux in S.I units.
Form 2, Physics: Fluid flow
Date posted: February 27, 2019.
- A bus of mass 2500kg initially moving at 20m/s is brought to rest over a distance of 20m. Determine the force required to achieve this.
A bus of mass 2500kg initially moving at 20m/s is brought to rest over a distance of 20m. Determine the force required to achieve this.
Form 3, Physics: Linear Motion
Date posted: February 27, 2019.