- Income tax is charged on annual income at the rates shown below.
A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in...(Solved)
Income tax is charged on annual income at the rates shown below.
A certain headmaster earns a monthly salary of Ksh. 8570. He is housed in the school and as a result, his taxable income is 15% more than his salary. He is entitled to a family tax relief of Kshs. 150 per month.
(a) How much tax does he pay in a year.
(b) From the headmaster’s salary the following deductions are also made every month;
W.C.P.S 2% of gross salary
N.H.I.F Kshs. 20
House rent, water and furniture charges Kshs. 246
Calculate the headmaster’s net salary.
Date posted: August 28, 2019. Answers (1)
- Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should...(Solved)
Grade A tea costs Ksh 100 per kg while grade B costs ksh 150 per kg. Find the ratio in which the two grades should be mixed to get a mixture worth ksh.140 per kg.
Date posted: August 28, 2019. Answers (1)
- A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the...(Solved)
A quantity P is partly constant and partly varies as the cube of Q. When Q=1, P=23 and when Q =2, P= 44. Find the value of P when Q = 5.
Date posted: August 28, 2019. Answers (1)
- Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant...(Solved)
Find the sum to 20 terms of the series
Log2 + Log 4 + Log 8 + Log 16 + …….Give your answer to 3 significant figures.
Date posted: August 28, 2019. Answers (1)
- Find the value of y in the figure below.(Solved)
Find the value of y in the figure below.
Date posted: August 28, 2019. Answers (1)
- A particle moves in a straight line such that its velocity v m/s is given by v=32 + 4t – t2 after t seconds. Calculate...(Solved)
A particle moves in a straight line such that its velocity v m/s is given by v=32 + 4t – t2 after t seconds. Calculate the distance covered by the particle in the 7th second.
Date posted: August 28, 2019. Answers (1)
- A circle of radius 15cm is divided into ten equal sectors. In each sector, find:
a. The area of the triangle
b. The area of the...(Solved)
A circle of radius 15cm is divided into ten equal sectors. In each sector, find:
a. The area of the triangle
b. The area of the segment
Date posted: August 28, 2019. Answers (1)
- The points A and B are ( 2,10) and (-4,8) respectively. If AB is a diameter of the circle, find the equation of this circle.(Solved)
The points A and B are ( 2,10) and (-4,8) respectively. If AB is a diameter of the circle, find the equation of this circle.
Date posted: August 28, 2019. Answers (1)
- If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased,...(Solved)
If the length of a rectangle is increased in the ratio 7:3 and the width decreased in the 2:5, find whether the area is increased, and what ratio.
Date posted: August 28, 2019. Answers (1)
- Expand ( 1 + 3x)7 up to x3, hence use the expansion to estimate the value of (1.3)7 correct to three decimal places.(Solved)
Expand ( 1 + 3x)7 up to x3, hence use the expansion to estimate the value of (1.3)7 correct to three decimal places.
Date posted: August 28, 2019. Answers (1)
- Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens...(Solved)
Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens and 8 black pens. A bag is chosen at random and two pens drawn from it, one at a time without replacement. Find the probability of picking two pens of the same colour.
Date posted: August 28, 2019. Answers (1)
- Make ?? the subject of the formula(Solved)
Make 𝐻 the subject of the formula
Date posted: August 28, 2019. Answers (1)
- By rationalizing the denominator, evaluate the following surds(Solved)
By rationalizing the denominator, evaluate the following surds
Date posted: August 28, 2019. Answers (1)
- Use logarithms table to evaluate.(Solved)
Use logarithms table to evaluate.
Date posted: August 28, 2019. Answers (1)
- A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s (Solved)
A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s. The acceleration 9m/s2 of a particle t seconds after passing O is given by the equation a = 4 – 6t. Calculate:
(a) The velocity of particle 2 seconds after passing O.
(b) The time taken to reach the maximum distance from O in the direction of the initial motion.
(c) The value of the maximum distance.
Date posted: August 28, 2019. Answers (1)
- Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 0300 FROM SHIP x....(Solved)
Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 0300 FROM SHIP x. Ship Z is 750km from ship Y and on a bearing of 1400 from X. An enemy ship S is sighted 900km due East of ship Y. Calculate:
(a) The bearing of Z from Y.
(b) The distance of X from Z.
(c) The distance S from Z.
(d) The shortest distance from X to the direct route between Y and Z.
Date posted: August 28, 2019. Answers (1)
- The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form...(Solved)
The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form a quadratic equation that can be used to solve for x in the triangle.
Date posted: August 28, 2019. Answers (1)
- The table below shows the analysis of examination marks scored by 160 candidates.
(a) Draw a cumulative frequency curve for the data.
(b) State the modal...(Solved)
The table below shows the analysis of examination marks scored by 160 candidates.
(a) Draw a cumulative frequency curve for the data.
(b) State the modal class.
(c) Use the graph to estimate:
(i) The quartile deviation.
(ii) How many candidates passed if a mark of 35% and above was a pass?
Date posted: August 28, 2019. Answers (1)
- Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA...(Solved)
Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA < 5cm, IA > IC and the area of triangle DCI > 10cm2. Locate by construction the region I.
Date posted: August 28, 2019. Answers (1)
- How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol?(Solved)
How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol?
Date posted: August 28, 2019. Answers (1)