- Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.(Solved)
Three quantities R, S, T are such that R varies directly as S and inversely as the square of T.
(a) Given that R = 480 when S = 150 and T = 5, write an equation connecting R, S and T
(b) (i) Find the value of R when S = 360 and T = 1.5
(ii) Find the percentage change in R if S increases by 5% and T decreases by 20%
Date posted: April 29, 2019. Answers (1)
- The table below shows income tax rates for a certain year.(Solved)
The table below shows income tax rates for a certain year.
A tax relief of Kshs. 1162 per month was allowed. In a certain month of the year, an employee’s taxable income in the
fifth band was Kshs. 2108.
a) Calculate:
i) Employees total taxable income in that month
ii) The tax payable by the employee in that month
b) The employees income includes a house allowance of Kshs. 15,000 per month. The employees contributed 5% basic
salary to a cooperative society. Calculate the employees net pay for that month.
Date posted: April 29, 2019. Answers (1)
- Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the
circle.(Solved)
Line AB is the diameter such that the coordinates of A and B are (-1, 1) and (5,1) respectively. Find the equation of the
circle.
Date posted: April 29, 2019. Answers (1)
- If the local time of town A (520N, 00) is 12.00noon. Find the local time of town B(10S,370E)(Solved)
If the local time of town A (520N, 00) is 12.00noon. Find the local time of town B(10S,370E)
Date posted: April 29, 2019. Answers (1)
- Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½...(Solved)
Point T is the mid-point of a straight line AB. Given that the position vectors of A and T are i-j+k and 2i + 1½ k
respectively, find the position vector of B in terms of i , j and k.
Date posted: April 29, 2019. Answers (1)
- (a) Draw a regular pentagon of side 4cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon(Solved)
(a) Draw a regular pentagon of side 4cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon
Date posted: April 29, 2019. Answers (1)
- a)Expand (1-x)5 up to the term in x3.(Solved)
a)Expand (1-x)5 up to the term in x3.
(b) Use the expansion in (a) to approximate the value of (0.98)5 correct to 3 decimal places
Date posted: April 29, 2019. Answers (1)
- In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate...(Solved)
In the figure below, AT is a tangent to the circle at A. Angle ATB = 480, BC = 5cm and CT = 4cm. Calculate the length
AT.
Date posted: April 29, 2019. Answers (1)
- Find the relative error in the difference between 26.0cm and 14.2cm(Solved)
Find the relative error in the difference between 26.0cm and 14.2cm
Date posted: April 29, 2019. Answers (1)
- Simplify the expression below (Solved)
Simplify the expression given below
Date posted: April 29, 2019. Answers (1)
- The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.(Solved)
The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
Date posted: April 29, 2019. Answers (1)
- Two dice are tossed together.(Solved)
Two dice are tossed together.
a) Draw a probability space to show all the possible outcomes
b) Find the probability that the sum of the two upper faces will be 9
Date posted: April 29, 2019. Answers (1)
- In the figure below, 0 is the centre of the circle. Find (Solved)
In the figure below, 0 is the centre of the circle. Find 
Date posted: April 29, 2019. Answers (1)
- Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line(Solved)
Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
Date posted: April 29, 2019. Answers (1)
- Make P the subject of the formula(Solved)
Make P the subject of the formula
Date posted: April 29, 2019. Answers (1)
- Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the...(Solved)
Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the tank is 3 hours.
a) If tap R is closed, how long would it take taps P and Q to fill the tank?
b) Calculate how long it would take to fill the tank when the three taps P, Q and R are left running.
Date posted: April 29, 2019. Answers (1)
- Use logarithms to evaluate, correct to 4 decimal places.(Solved)
Use logarithms to evaluate, correct to 4 decimal places.
Date posted: April 29, 2019. Answers (1)
- The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day.(Solved)
The frequency table shows masses, to the nearest kilogramme of fish caught by a fisherman in a day.
(a) Draw a histogram to represent the above information
(b)(i) State the class in which the median mass lies
(ii) Draw a vertical line in the histogram, showing where the median mass lies
(iii) Calculate the median mass in kilogrammes of the fish caught
Date posted: April 29, 2019. Answers (1)
- In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b(Solved)
In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b
a) Express the following in terms of a and b
(i) AB
(ii) XY
(b) Given that AC = 6AB, express OC & XC interms of a and b
(c) Show the points X, Y and C are collinear
(d) State the ratio in which C divides XY
Date posted: April 29, 2019. Answers (1)
- The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:(Solved)
The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:
(a) The velocity of the particle when t= 3 seconds
(b) The value of t when the velocity of the particle is 4M/S
(c) The displacement when the particle velocity is 4M/S
(d) The acceleration of the particle when t = 3 seconds
Date posted: April 29, 2019. Answers (1)