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- The position of towns M and N are M(0 °, 5 l °W) and N(0 °, 37 °E). Find the distance between the two
The position of towns M and N are M(0 °, 5 l °W) and N(0 °, 37 °E). Find the distance between the two towns in kilometres, correct to one decimal place. (Take the radius of the earth as 6370km and p = 22/7)
Date posted: February 18, 2019
- Kitonga deposited Ksh 50000 in a bank which paid compound interest at the rate of 10% per annum. Find the compound interest accrued by the end of the fourth year.
Kitonga deposited Ksh50000 in a bank which paid compound interest at the rate of 10% per annum. Find the compound interest accrued by the end of the fourth year.
Date posted: February 18, 2019
- A line with gradient of -3 passes through the points (3, k) and (k, 8). Find the value of k
A line with gradient of -3 passes through the points (3, k) and (k, 8). Find the value of k and hence express the equation of the line in the form ax + by = c, where a, b and c are constants.
Date posted: February 18, 2019
- Given that OA = 2i + 3j and OB = 3i - 2j, find the magnitude of AB to one decimal place
Given that OA = 2i + 3j and OB = 3i - 2j, find the magnitude of AB to one decimal place
Date posted: February 18, 2019
- Solve the equation 2log x - log (x-2)=2 log 3
Solve the equation 2log x - log (x-2)=2 log 3
Date posted: February 18, 2019
- A wholesaler sold a radio to a retailer making a profit of 20%. The retailer later sold the radio for Ksh 1560 making a profit of 30%
A wholesaler sold a radio to a retailer making a profit of 20%. The retailer later sold the radio for Ksh 1560 making a profit of 30%. Calculate the amount of money the wholesaler had paid for the radio.
Date posted: February 19, 2019
- The interior angles of an octagon are 2x,1/2x,(x + 40)°,110°,135°,160°,(2x + 10)° and 185°. Find the value of x
The interior angles of an octagon are 2x,1/2x,(x + 40)°,110°,135°,160°,(2x + 10)° and 185°. Find the value of x
Date posted: February 19, 2019
- Solve the following inequalities and represent the solution on a number line and hence state the integral values of x
Solve the following inequalities and represent the solution on a number line and hence state the integral values of x
7x – 4= 9x + 2‹3x + 14
Date posted: February 19, 2019
- A motorist cycles a certain distance from X to Y at 10km/hr, he returns at 12km/hr. The total time taken is 1hr 50min. Find the distance XY.
A motorist cycles a certain distance from X to Y at 10km/hr, he returns at 12km/hr. The total time taken is 1hr 50min. Find the distance XY.
Date posted: February 19, 2019
- The interior angle of a regular polygon is 108 degrees larger than the exterior angle. How many sides have the polygon?
The interior angle of a regular polygon is 108 degrees larger than the exterior angle. How many sides have the polygon?
Date posted: February 19, 2019
- A mother is now two and half times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother
A mother is now two and half times as old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother
Date posted: February 19, 2019
- The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of maize in the mixture
The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3: 5 respectively. Find the mass of maize in the mixture.
Date posted: February 19, 2019
- 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