- From a reservoir, water flows through a cylindrical pipe of diameter 0.2m at a rate of 0.35m/s.(Solved)
From a reservoir, water flows through a cylindrical pipe of diameter 0.2m at a rate of 0.35m/s.
a) Determine the number of litres of water discharged from the reservoir in one hour.
b) The water flows from the reservoir for 18 hours per day for 25 days per month and serves a population of 2500
families. Determine the average consumption of water per family per month giving your answer to nearest 100 litres.
c) The water is charged at the rate of sh.450 per 100 litres. Calculate the average water bill per family per month.
Date posted: May 3, 2019. Answers (1)
- a)Given that y = 7 + 3x – x2, complete the table below(Solved)
a)Given that y = 7 + 3x – x2, complete the table below
b) On the grid provided and using a suitable scale draw the graph of y=7 + 3x – x2.
c) On the same grid draw a straight line using the graph to solve x2 – 4x -3 = 0
d) Determine the coordinates of the turning point of the curve.
Date posted: May 3, 2019. Answers (1)
- A bus left Makindu at 11.45 a.m and traveled towards Mombasa at an average speed of 80km/h. A Nissan Matatu left
Makindu at 1.15 p.m on...(Solved)
A bus left Makindu at 11.45 a.m and traveled towards Mombasa at an average speed of 80km/h. A Nissan Matatu left
Makindu at 1.15 p.m on the same day and traveled along the same road at an average speed of 120km/hr. The distance
between Makindu and Mombasa is 400km.
a) Determine the time of the day the Nissan overtook the bus.
b) Both vehicles continue towards Mombasa at their original speeds. Find how long the Matatu had to wait at Mombasa
before the bus arrived.
Date posted: May 3, 2019. Answers (1)
- A cylinder of diameter 28m was drilled right through it as shown below. Calculate its surface area.(Solved)
A cylinder of diameter 28m was drilled right through it as shown below. Calculate its surface area.
Date posted: May 3, 2019. Answers (1)
- Evaluate using square root, reciprocal and square tables only.(Solved)
Evaluate using square root, reciprocal and square tables only.
Date posted: May 3, 2019. Answers (1)
- Two sides of a triangular piece of land are 21km and 32km long. If its area is 240km2, find the obtuse angle between
the sides.(Solved)
Two sides of a triangular piece of land are 21km and 32km long. If its area is 240km2, find the obtuse angle between the sides.
Date posted: May 3, 2019. Answers (1)
- The figure below is a velocity time graph for a car.(Solved)
The figure below is a velocity time graph for a car.
a) Find the total distance traveled by the car. (2 marks)
b) Calculate the deceleration of the car.
Date posted: May 3, 2019. Answers (1)
- Given a:b = 6:7 and b:c = 14.17 find a:b:c.(Solved)
Given a:b = 6:7 and b:c = 14.17 find a:b:c.
Date posted: May 3, 2019. Answers (1)
- Ruto is 12 years old. In three years time he will be 1/3 of his father’s present age. How old was his father 12 years...(Solved)
Ruto is 12 years old. In three years time he will be 1/3 of his father’s present age. How old was his father 12 years ago.
Date posted: May 3, 2019. Answers (1)
- Vectors A and B are 2i + 5i and 8i – 7j respectively. Find the coordinates of M which divide AB in the ratio 1:2.(Solved)
Vectors A and B are 2i + 5i and 8i – 7j respectively. Find the coordinates of M which divide AB in the ratio 1:2.
Date posted: May 3, 2019. Answers (1)
- Solve the simultaneous equations.
(Solved)
Solve the simultaneous equations.
xy = 4
x + y = 5
Date posted: May 3, 2019. Answers (1)
- Find the equation of the perpendicular bisector of line AB where A is (3, 9) and B(7,5) giving your answer in the form
ax + by...(Solved)
Find the equation of the perpendicular bisector of line AB where A is (3, 9) and B(7,5) giving your answer in the form
ax + by + c = 0
Date posted: May 3, 2019. Answers (1)
- From a viewing tower 30 metres above the ground, the angle of depression of an object on the ground is 30o and the
angle of elevation...(Solved)
From a viewing tower 30 metres above the ground, the angle of depression of an object on the ground is 30o and the
angle of elevation of an aircraft vertically above the object is 42o. Calculate the height of the aircraft above the ground.
Date posted: May 3, 2019. Answers (1)
- If x = 2/3 is a root of 6x2 + kx – 2 = 0, find the value of k and the other root.(Solved)
If x = 2/3 is a root of 6x2 + kx – 2 = 0, find the value of k and the other root.
Date posted: May 3, 2019. Answers (1)
- Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity...(Solved)
Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity of 3000 litres find the volume of the tank after 2 minutes when both taps are open.
Date posted: May 3, 2019. Answers (1)
- Rose bought a golden necklace for ksh.6000 and sold it to Betty at a loss of 30%. Betty later sold it at a profit of...(Solved)
Rose bought a golden necklace for ksh.6000 and sold it to Betty at a loss of 30%. Betty later sold it at a profit of 20%.
What was Betty’s selling price.
Date posted: May 3, 2019. Answers (1)
- Solve the following inequality and show your solution on a number line.(Solved)
Solve the following inequality and show your solution on a number line.
4x – 3 ≤ ½ (x + 8) < x + 5
Date posted: May 3, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: May 3, 2019. Answers (1)
- Without using Logarithms tables or a calculator evaluate.(Solved)
Without using Logarithms tables or a calculator evaluate.
Date posted: May 3, 2019. Answers (1)
- The headteacher of a secondary school placed an order for x - lockers and y - chairs from a metal works with the
following conditions:(Solved)
The headteacher of a secondary school placed an order for x - lockers and y - chairs from a metal works with the
following conditions:
i) The number of chairs should be more than the number of lockers.
ii) The total number of lockers and chairs must not exceed 100.
iii) There should be at least 20 chairs and not less than 10 lockers.
iv) The cost of a locker is ksh. 2500 and that of a chair is ksh. 1000 and the headteacher has only ksh. 1500 to spend
on lockers and chairs during the term.
a) Write down all the inequalities describing the situation above.
b) On the grid provided, draw a graph representing the inequalities.
c) Determine the maximum number of lockers and chairs that can be bought.
Date posted: May 3, 2019. Answers (1)