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- (a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the...(Solved)
(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the room is X m long; show that the length of the other side is
b) By leaving a uniform width of ½ m uncovered all round, shs.700 could have been saved. Use this information to form an equation in x and show that it reduces to X2 – 11x + 28 = 0.
c) Solve the equation and hence find the dimensions of the room
Date posted: August 22, 2019.
- Solve the inequality below hence represent the solution in a number line.(Solved)
Solve the inequality below hence represent the solution in a number line.
![pic22820191149.png](/questions/uploads/pic22820191149.png)
Date posted: August 22, 2019.
- The figure below shows a toy car moving in a circular rail in a vertical plane. The mass of the toy car is 300g and...(Solved)
The figure below shows a toy car moving in a circular rail in a vertical plane. The mass of the toy car is 300g and the radius of the rail is 2m.
Determine:
i) Minimum velocity at which the toy passes point A
ii) If the toy was tied by a string at the centre of the rail path, following the same circular path, when whirled at which position (A or B) would the string experience maximum tension. Explain your answer.
iii) If the toy moves with a velocity of 5m/s as it passes point B, find the angular velocity at this point.
iv) State two applications of uniform circular motion
Date posted: August 22, 2019.
- Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.(Solved)
Find the mass of a wooden beam 4m long, 25cm wide and 18cm high if the density of the wood is 625kg/m3.
Date posted: August 22, 2019.
- Solve for the equation(Solved)
Solve for the equation
![pic22820191143.png](/questions/uploads/pic22820191143.png)
Date posted: August 22, 2019.
- King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.(Solved)
King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.If he spends Kshs.1800 on transport, find how much money he saves.
Date posted: August 22, 2019.
- A Line passes through A (1, 1) and B(x, y). The mid-point of AB is (3, 5). If line BC is perpendicular to AB, find...(Solved)
A Line passes through A (1, 1) and B(x, y). The mid-point of AB is (3, 5). If line BC is perpendicular to AB, find the equation of line BC.
Date posted: August 22, 2019.
- A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the...(Solved)
A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the number formed when the digits are interchanged. Find the number.
Date posted: August 22, 2019.
- A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all...(Solved)
A bus service number 4 leaves a terminus every 15 minutes. Services 8 and 3 leaves after every 20 and 30 minutes respectively. If all the three services leave together at 6.00 am, what is the earliest time the three buses will leave together again?
Date posted: August 22, 2019.
- The figure below shows a circle centre O. Chord AB subtends 300 at the centre.(Solved)
The figure below shows a circle centre O. Chord AB subtends 300 at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle.
![q1222820191135.png](/questions/uploads/q1222820191135.png)
Date posted: August 22, 2019.
- Solve for X in the equation.(Solved)
Solve for X in the equation.
![q1122820191132.png](/questions/uploads/q1122820191132.png)
Date posted: August 22, 2019.
- The diagram in the figure below represents a wheel and axle used as a machine, whose efficiency is 80% to raise 400N of building materials....(Solved)
The diagram in the figure below represents a wheel and axle used as a machine, whose efficiency is 80% to raise 400N of building materials. The wheel and axle have diameters of 75cm and 15cm respectively.
(i) Mark on the diagram the correct position and direction of the load to be lifted.
(ii) Name the principle on which this machine works.
(iii) Calculate the effort needed to raise the load.
(iv) The machine is operated manually and raises the load to a height of 5m in 20 seconds. Calculate the power developed by the operator
Date posted: August 22, 2019.
- The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the...(Solved)
The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the triangle.
Date posted: August 22, 2019.
- Mbom paid Kshs.160 for a blouse after getting a discount of 20%.(Solved)
Mbom paid Kshs.160 for a blouse after getting a discount of 20%.The vendor made a profit of 30% on the sale of this blouse. What percentage profit would the vendor have made if no discount was allowed?
Date posted: August 22, 2019.
- Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3...(Solved)
Find the equation of the perpendicular line that passes through the mid – point X of C( - 7 , 8) and
D ( 3 , - 8)
Date posted: August 22, 2019.
- Translation Q is represented by the column vector(Solved)
Translation Q is represented by the column vector
and another translation R by
the column vector
A point S is mapped onto a point T by Q and a point T is mapped into a point U by R.If point U is (8 , - 4) ,determine the co-ordinates of point S.
Date posted: August 22, 2019.
- A simple hydrometer is set up with a test –tube of mass 10g and length 12cm with a flat base and partially filled with lead...(Solved)
A simple hydrometer is set up with a test –tube of mass 10g and length 12cm with a flat base and partially filled with lead shots. The test – tube has a uniform cross – sectional area of 2.0cm2 and 10cm of its length is under water as shown in the figure below.
(i) Determine the mass of lead shots in the test – tube (Take density of water = 1000kgm-3)
(ii) Calculate the mass of the lead shots to be added if the test – tube has to displace an equal volume of a liquid of density 1.25gcm-3.
(iii) What is the function of the lead shots?
Date posted: August 22, 2019.
- Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3(Solved)
Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
Date posted: August 22, 2019.
- Solve the following inequalities and represent the solution on a single number line.(Solved)
Solve the following inequalities and represent the solution on a single number line.
![q322820191109.png](/questions/uploads/q322820191109.png)
Date posted: August 22, 2019.
- Without using a calculator or tables, find the value of y given that y = (a+b) (x – c)2 and a = 5 , b...(Solved)
Without using a calculator or tables, find the value of y given that y = (a+b) (x – c)2 and a = 5 , b =6 ,x = -3 and c = 2.
Date posted: August 22, 2019.
- Without using tables or calculators, evaluate.(Solved)
Without using tables or calculators, evaluate.
![q122820191050.png](/questions/uploads/q122820191050.png)
Date posted: August 22, 2019.
- Hooke’s law is written mathematically as F=Ke. Give three factors that letter K depend on.(Solved)
Hooke’s law is written mathematically as F=Ke. Give three factors that letter K depend on.
Date posted: August 22, 2019.
- A light spring that obeys Hooke’s law was attached to a fixed support. When a load of 10N was hung on it, the length of the...(Solved)
A light spring that obeys Hooke’s law was attached to a fixed support. When a load of 10N was hung on it, the length of the spring was 320mm and when a 20N load was hung on it, the length became 400mm. Determine:
(i) The length of the spring when it has no load on it
(ii) The length of the spring when it has a load of 16N.
Date posted: August 22, 2019.
- The figure below shows two graphs for two different springs A and B(Solved)
The figure below shows two graphs for two different springs A and B
F1 and F2 are points at which the springs break.
Determine and explain which of the two springs:
(i) Obeys Hooke’s law
(ii) Is stronger
Date posted: August 22, 2019.
- The diagram below shows a pendulum bob swinging freely to and from.(Solved)
The diagram below shows a pendulum bob swinging freely to and from.
Determine the maximum velocity of the ball at B if the maximum horizontal displacement of the ball is 10cm.
Date posted: August 22, 2019.
- A ball rolls off a platform of height 1.8 m at a horizontal speed of 15m/s. How far off the edge of the platform does...(Solved)
A ball rolls off a platform of height 1.8 m at a horizontal speed of 15m/s. How far off the edge of the platform does it land? (Take g = 10msˉ²)
Date posted: August 22, 2019.
- Explain the difference between the motion of dust particles in Brownian motion and the motion of dust particles due to convectional currents.(Solved)
Explain the difference between the motion of dust particles in Brownian motion and the motion of dust particles due to convectional currents.
Date posted: August 22, 2019.
- The figure I below shows the reading of a vernier calipers used to get the diameter of a cylindrical tin.(Solved)
The figure I below shows the reading of a vernier calipers used to get the diameter of a cylindrical tin.
If the vernier caliper had a negative error of 0.02 cm, what is the actual diameter of the tin?
Date posted: August 22, 2019.
- The word equation below shows a biological process.(Solved)
The word equation below shows a biological process.
Water-------->Hydrogen atom + oxygen
(i) Name the process.
(ii) Where does the process named in (i) above take place?
(iii) State two conditions necessary for the process to occur.
Date posted: August 22, 2019.
- Giving a reason, state the organisms that are MOST closely related.(Solved)
Giving a reason, state the organisms that are MOST closely related.
Date posted: August 22, 2019.