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- A solid metal cylinder with radius 7 cm and height 5 cm is melted down and recast into a spherical ball. Calculate to 1 decimal place the surface area of this ball.
A solid metal cylinder with radius 7 cm and height 5 cm is melted down and recast into a spherical ball. Calculate to 1 decimal place the surface area of this ball.
Date posted: February 19, 2019
- The volume of two similar solid spheres are 4752cm³ and 1408cm³. If the surface area of the small sphere is 352cm²
The volume of two similar solid spheres are 4752cm³ and 1408cm³. If the surface area of the small sphere is 352cm², find the surface area of the larger sphere.
Date posted: February 19, 2019
- Solve the equation 9x + 3 = 243
Solve the equation 9x + 3 = 243
Date posted: February 19, 2019
- The mean mass of 18 form 4 boys is 64 kg. When their class teacher is added the mean becomes 65 kgs.
The mean mass of 18 form 4 boys is 64 kg. When their class teacher is added the mean becomes 65 kgs. What is the mass of the class teacher in kilograms.
Date posted: February 19, 2019
- The sum of four consecutive odd numbers is 88. Find the numbers
The sum of four consecutive odd numbers is 88. Find the numbers
Date posted: February 19, 2019
- A trader bought maize for ksh 20 per kilogram and beans for ksh 60 per kilogram. She mixed them and sold the mixture at ksh 48 per kilogram
A trader bought maize for ksh 20 per kilogram and beans for ksh 60 per kilogram. She mixed them and sold the mixture at ksh 48 per kilogram.If she made a 60% profit,determine the ratio of maize:beans in the mixture.
Date posted: February 19, 2019
- A variable P varies directly as t3 and inversely as the square root of s.When t=2 and s=9,P=16
A variable P varies directly as t3 and inversely as the square root of s.When t=2 and s=9,P=16.Determine the equation connecting p,t and s
Date posted: February 19, 2019
- The curve y=ax3 - 3x2 - 2x+1 has the gradient 7 when x=1,Find the value of a.
The curve y=ax3 - 3x2 - 2x+1 has the gradient 7 when x=1,Find the value of a.
Date posted: February 20, 2019
- Use the expansion (1-x)5 upto the term with x3 to approximate the value of (0.98)5
Use the expansion (1-x)5 upto the term with x3 to approximate the value of (0.98)5
Date posted: February 20, 2019
- The equation of a circle is given by x2 + 4x + y2 - 2y - 4=0.Determine the centre and the radius of the circle.
The equation of a circle is given by x2 + 4x + y2 - 2y - 4=0.Determine the centre and the radius of the circle.
Date posted: February 20, 2019
- Two numbers p and q are such that p3 x q =189, Find p and q.
Two numbers p and q are such that p3 x q =189, Find p and q.
Date posted: February 20, 2019
- Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.
In a fundraising committee of 45 people,the ratio of men:women is 7:2.Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.
Date posted: February 20, 2019
- A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled.
A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled. Give your answer in kilometers.
Date posted: February 20, 2019
- The production of milk in litres of 14 cows on a certain day was recorded as follows
The production of milk in litres of 14 cows on a certain day was recorded as follows 22,26,15,19,20,16,27,15,19,22,21,
20,22 and 28.Determine:
a)the mode
b)the median
Date posted: February 20, 2019
- Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Date posted: February 20, 2019
- Solve for x in 2x2 + x - 36 = 0
Solve for x in 2x2 + x - 36 = 0
Date posted: February 20, 2019
- Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Date posted: February 20, 2019
- Without using logarithm tables,find the value of x;
Without using logarithm tables,find the value of x;
Log x3 + log 5x = 5log 2 – log $\frac{2}{5}$
Date posted: February 20, 2019
- The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments.
The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments. If was charged simple interest at the rate of 40% p.a,how much was each installment?
Date posted: February 20, 2019
- Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Date posted: February 21, 2019