Get premium membership and access questions with answers, video lessons as well as revision papers.
- A girl ties a stone of mass 250g with a piece of thread. Holding the other end of the thread at 45cm in length, she makes the stone revolve in a circle in a vertical plane at a constant speed.
A girl ties a stone of mass 250g with a piece of thread. Holding the other end of the thread at 45cm in length, she makes the stone revolve in a circle in a vertical plane at a constant speed. If the stone is making 3 revolutions, per second calculate;
a) The angular velocity.
b) Tension in the string when the stone is vertically above the girl’s hand.
Date posted: March 5, 2019
- An oil drop forms a circular patch of an area 5.0 x 10-13cm2. If the drop has a volume of 9.0 x 10-14 cm3, estimate the diameter of the oil molecule.
An oil drop forms a circular patch of an area 5.0 x 10-13cm2. If the drop has a volume of 9.0 x 10-14 cm3, estimate the diameter of the oil molecule.
Date posted: March 5, 2019
- The figure below shows a 1 meter long uniform metal bar in equilibrium.
The figure below shows a 1 meter long uniform metal bar in equilibrium.
Determine the weight of the metal bar.
Date posted: March 5, 2019
- A Girl in a school in the Coast region plans to make a barometer, using sea water of density 1030kgm-3. If the atmospheric pressure is 103000Nm-2. Determine the minimum length of the tube she will use.
Take g =10N/kg.
A Girl in a school in the Coast region plans to make a barometer, using sea water of density 1030kgm-3. If the atmospheric pressure is 103000Nm-2. Determine the minimum length of the tube she will use.
Take g =10N/kg.
Date posted: March 5, 2019
- The figure below shows a micrometer screw gauge being used to measure the diameter of a metal rod.
The figure below shows a micrometer screw gauge being used to measure the diameter of a metal rod.
What is the reading shown?
Date posted: March 5, 2019
- A pipe of diameter 12m is connected to another of diameter 18m. If water flows in the wider at the speed of 2m/s, determine his speed of water in the narrower pipe?
A pipe of diameter 12m is connected to another of diameter 18m. If water flows in the wider at the speed of 2m/s, determine his speed of water in the narrower pipe?
Date posted: March 5, 2019
- A man lifts a weight of 300N through a vertical height of 2m, in 6 seconds. Determine the power developed.
A man lifts a weight of 300N through a vertical height of 2m, in 6 seconds. Determine the power developed.
Date posted: March 5, 2019
- Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
Date posted: March 7, 2019
- Solve the equation below
Solve the equation below
Date posted: March 7, 2019
- The gradient of the tangent to the curve y = ax3 + bx at the point (1,1) is —5. Calculate the values of a and b
The gradient of the tangent to the curve y = ax3 + bx at the point (1,1) is —5. Calculate the values of a and b
Date posted: March 7, 2019
- The angle of elevation of the top of a cliff from point p is 450. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 480.Calculate the height of the cliff.
The angle of elevation of the top of a cliff from point p is 450. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 480.Calculate the height of the cliff.
Date posted: March 7, 2019
- Water flows from a tap at the rate of 27cm3/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.
Water flows from a tap at the rate of 27cm3/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.
Date posted: March 7, 2019
- The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.
The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.
Date posted: March 7, 2019
- Three bells ring at intervals of 9 minutes,15 minutes and 21 minutes.The bells will ring together at 11:00p.m. Find the time the bells last rang together.
Three bells ring at intervals of 9 minutes,15 minutes and 21 minutes.The bells will ring together at 11:00p.m. Find the time the bells last rang together.
Date posted: March 7, 2019
- A salesman gets a commission of 2.4% on sales up-to sh.100,000.He gets an additional commission of 1.5% on sales above this.Calculate the commission he gets on sales worth sh.280,000.
A salesman gets a commission of 2.4% on sales up-to sh.100,000.He gets an additional commission of 1.5% on sales above this.Calculate the commission he gets on sales worth sh.280,000.
Date posted: March 7, 2019
- Factorize
2x2 -5xy -12y2
Factorize
2x2 -5xy -12y2
Date posted: March 7, 2019
- Solve the following:
4= 3x-2<9 +x hence list the integral values that satisfies the inequality.
Solve the following:
4= 3x-2<9 +x hence list the integral values that satisfies the inequality.
Date posted: March 7, 2019
- Calculate the price of the flour mill in the question below
Date posted: March 11, 2019
- An aircraft took off from a point P(650s,760w) and flew due north to a point Q. The distance between P and Q is 5400nm. Determine the position of Q.
An aircraft took off from a point P(650s,760w) and flew due north to a point Q. The distance between P and Q is 5400nm. Determine the position of Q.
Date posted: March 11, 2019
- Given that cos 2xo = 0.8070, find x when 00 = x = 1800
Given that cos 2xo = 0.8070, find x when 00 = x = 1800
Date posted: March 11, 2019