- In the expression (x + 2)x, the sum of the first two terms is 768. Find the value x(Solved)
In the expression (x + 2)x, the sum of the first two terms is 768. Find the value x
Date posted: March 7, 2017. Answers (1)
- A farmer has 1 200 m wire to fence three sides of a rectangular paddock. The fourth side is a wall. Find the dimensions that will give the maximum possible area.(Solved)
A farmer has 1 200 m wire to fence three sides of a rectangular paddock. The fourth side is a wall. Find the dimensions that will give the maximum possible area.
Date posted: March 7, 2017. Answers (1)
- A quantity T is partly constant and partly varies as the square root of S.
a) Using k and m as the constants, write down an equation connecting T and S(Solved)
A quantity T is partly constant and partly varies as the square root of S.
a) Using k and m as the constants, write down an equation connecting T and S
b) If S = 16 when T = 24 and S = 36 when T = 32, find the value of the constants
Date posted: March 7, 2017. Answers (1)
- Solve for x in
2(log2x)2 - 7log2x + log28 = 0(Solved)
Solve for x in
2(log2x)2 - 7log2x + log28 = 0
Give your answer in surd form
Date posted: March 7, 2017. Answers (1)
- $\frac{\sqrt5 -2\sqrt3}{\sqrt2 + \sqrt{12}}$ is expression in surd form(Solved)
$\frac{\sqrt5 -2\sqrt3}{\sqrt2 + \sqrt{12}}$ is expression in surd form
i) Write down the conjugate of the denominator in its simplest form
ii) Hence use the conjugate in (i) above to rationalize the denominator in the expression above
Date posted: March 7, 2017. Answers (1)
- The dimensions of a rectangle are given as 8 cm by 5 cm. If A is the area of the rectangle and P is perimeter, determine the maximum possible value of (Solved)
The dimensions of a rectangle are given as 8 cm by 5 cm. If A is the area of the rectangle and P is perimeter, determine the maximum possible value of
A $\div$ P.
Date posted: March 7, 2017. Answers (1)
- A bus P leaves Kisumu at 8 a.m travelling towards Nairobi at an average speed of 70 km/hr.(Solved)
A bus P leaves Kisumu at 8 a.m travelling towards Nairobi at an average speed of 70 km/hr. A matatu Q leaves Kisumu at 9 a.m travelling towards Nairobi at an average speed of 110 km/hr find the distance travelled by Q from Kisumu when it catches up with P.
Date posted: March 7, 2017. Answers (1)
- The cost of constructing a road is partly constant and partly varies as the distance. If it costs sh 30 000 to construct a 400 m road and sh 42 000 to construct a road one and half times longer. Find the costs of constructing a 800 m road (Solved)
The cost of constructing a road is partly constant and partly varies as the distance. If it costs sh 30 000 to construct a 400 m road and sh 42 000 to construct a road one and half times longer. Find the costs of constructing a 800 m road
Date posted: March 7, 2017. Answers (1)
- The first three terms of geometric progression are the first 4th and progression given that the first term of GP 6.(Solved)
The first three terms of geometric progression are the first 4th and progression given that the first term of GP 6. Find the common difference of the arithmetic progression.
Date posted: March 6, 2017. Answers (1)
- A trader mixes two types of sugar, type A and B in the ratio 3:2 to form a mixture which he sells at a price of sh 69.60 per kg in order to make a profit of 20%. (Solved)
A trader mixes two types of sugar, type A and B in the ratio 3:2 to form a mixture which he sells at a price of sh 69.60 per kg in order to make a profit of 20%. If his buying price of type B is sh 70 per kg find the buying price of type A per kg
Date posted: March 6, 2017. Answers (1)
- Solve for x in
log(x + 5) = log 4 - log(x + 2)(Solved)
Solve for x in
log(x + 5) = log 4 - log(x + 2)
Date posted: March 6, 2017. Answers (1)
- The number 7.25 is given to the nearest 0.01. Calculate(Solved)
The number 7.25 is given to the nearest 0.01. Calculate
i) The range within which the exact values lies
ii) The relative error as a simple fraction
Date posted: March 6, 2017. Answers (1)
- A Kenyan businessman imports wheat from the United States at an initial cost of 500 dollars per tonne.(Solved)
A Kenyan businessman imports wheat from the United States at an initial cost of 500 dollars per tonne. He then pays 20% of this amount as shipping costs and 10% of the same amount as customs duty. When the wheat reaches Mombasa the man has to pay 5% of the initial cost to transport it to Nairobi.
a) Given that one US dollar = sh 54.60 calculate the total cost of importing one tonne of wheat in shs
b) The businessman intends to make a profit of 20%. Giving your answer to the nearest ten cents, calculate the price at which he must sell the wheat per kg
Date posted: March 6, 2017. Answers (1)
- Find the estimate of the area enclosed by the curve y = 3x3 -5, the x axis and the line x = 4 and x = 6 using the mid-ordinate rule with 4 rectangles(Solved)
Find the estimate of the area enclosed by the curve y = 3x3 -5, the x axis and the line x = 4 and x = 6 using the mid-ordinate rule with 4 rectangles
Date posted: March 6, 2017. Answers (1)
- Solve for x = $\frac{\sqrt3}{2}$, where x is an acute angle, evaluate without using mathematical tables
tan x(Solved)
Solve for x = $\frac{\sqrt3}{2}$, where x is an acute angle, evaluate without using mathematical tables
i) tan x
ii) sin2 (90 - x)
Date posted: March 6, 2017. Answers (1)
- Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years.(Solved)
Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.
Date posted: March 6, 2017. Answers (1)
- If log k = 0.806 and y = 1.903, find the value of ky(Solved)
If log k = 0.806 and y = 1.903, find the value of ky
Date posted: March 6, 2017. Answers (1)
- A plan of a house is drawn on a scale 1:500, What is the length of a room on the plan for which the actual length is 8 meters(Solved)
A plan of a house is drawn on a scale 1:500
a) What is the length of a room on the plan for which the actual length is 8 meters
b) The area of the room on the plan is 1.28 cm2. What is the actual area of the room in m2
Date posted: March 6, 2017. Answers (1)
- Helen travels from P to Q at x km/hr and then from Q to R at (x + 6) km/hr. The distance from P to Q is 40 km while from Q to R is 100 km. If the to time taken between P and Q is the same as the one taken between Q and R, find(Solved)
Helen travels from P to Q at x km/hr and then from Q to R at (x + 6) km/hr. The distance from P to Q is 40 km while from Q to R is 100 km. If the to time taken between P and Q is the same as the one taken between Q and R, find
i) Her speed between Q and R
ii) The total time taken to complete the journey
Date posted: March 6, 2017. Answers (1)
- Under an enlargement centre (0,3), the point (2,5) is mapped onto (4,K). Determine the value of K(Solved)
Under an enlargement centre (0,3), the point (2,5) is mapped onto (4,K). Determine the value of K
Date posted: March 6, 2017. Answers (1)