- Determine the percentage error for each of the following to two decimal places.
(a)10.5+5.25
(b)10.5-5.25
(c)10.5×5.25
(d)10.5÷5.25(Solved)
Class-Form Three Mathematics
Topic-Errors and Approximation
Date posted: August 15, 2020.
- A piece of paper measures 10.3 cm by 17.2 cm. Find the percentage error to 4 decimal places when calculating it's area.(Solved)
Form Three mathematics on Errors and Approximation.
Date posted: August 15, 2020.
- (a)0.4545 was rounded off to three decimal places as 0.455. Determine the percentage error created.
(b)0.4545 was truncated to three decimal places to 0.454.Calculate the percentage...(Solved)
Form Three Mathematics. Topic- Errors and Approximation.
Date posted: August 15, 2020.
- 1/9 was approximated as 0.111. Calculate the percentage error arising from this approximation.(Solved)
Form Three Mathematics.
Topic-Errors and Approximation
Date posted: August 15, 2020.
- The first term of an arithmetic sequence is -7 and the common difference is 3.
a) List the first six terms of the sequence.
b) Determine...(Solved)
The first term of an arithmetic sequence is -7 and the common difference is 3.
a) List the first six terms of the sequence.
b) Determine the sum of the first 50 terms of the sequence
Date posted: November 27, 2019.
- The radius of a sphere is measured as 6.0cm to the nearest 0.1cm. Calculate the percentage error in the calculation of its volume.(Solved)
The radius of a sphere is measured as 6.0cm to the nearest 0.1cm. Calculate the percentage error in the calculation of its volume.
Date posted: November 27, 2019.
- A car was valued at ksh 500,000 in January 2013. Each year its value depreciates at 12% p.a find after how long would the value...(Solved)
A car was valued at ksh 500,000 in January 2013. Each year its value depreciates at 12% p.a find after how long would the value depreciate to ksh 250,000 (Give your answer correct to the nearest year).
Date posted: November 27, 2019.
- The table below shows how income tax was charged in a certain year.
During that year, Mwaniki earned a basic salary of Ksh. 25,200 and a...(Solved)
The table below shows how income tax was charged in a certain year.
During that year, Mwaniki earned a basic salary of Ksh. 25,200 and a house allowance of Ksh. 12600 per month. He was entitled to a personal tax relief of Ksh. 960 per month
a) Calculate;
i) Mwaniki’s taxable income in Kenya pounds per annum.
ii) The net tax he pays per month.
b) Apart from income tax, other deductions amounting to Ksh. 1075 are made from Mwaniki’s monthly income. Calculate his net mothly pay.
Date posted: November 27, 2019.
- A railway line and a road are parallel to each other on a flat and level section of land. A 5 meter long car moving...(Solved)
A railway line and a road are parallel to each other on a flat and level section of land. A 5 meter long car moving at a speed of 110𝑘𝑚ℎ−1 start overtaking a train which is 495 meters and moving at 80𝑘𝑚ℎ−1. How long will it take the car to completely overtake the train?
Date posted: November 27, 2019.
- The volumes of the two similar cylindrical containers is 27cm³ and 125cm³ respectively. Given that the height of the smaller container is 12cm, find the...(Solved)
The volumes of the two similar cylindrical containers is 27cm³ and 125cm³ respectively. Given that the height of the smaller container is 12cm, find the height of the larger container.
Date posted: November 27, 2019.
- Solve for x in (Solved)
Solve for x in 
Date posted: November 27, 2019.
- The figure below shows a simple tent. AF=FB=10cm, AB=12cm and BC=FE=AD=20cm. On the tent, a tight rope is tied as shown on the diagram from...(Solved)
The figure below shows a simple tent. AF=FB=10cm, AB=12cm and BC=FE=AD=20cm. On the tent, a tight rope is tied as shown on the diagram from BD,DE and EA. Draw the net of the tent and show the path of the rope on the net using the scale 1cm rep. 5cm.
Date posted: November 20, 2019.
- Momanyi spent one eighth of his February salary on farming, half on school fees and two thirds of the remainder on food. Calculate his February...(Solved)
Momanyi spent one eighth of his February salary on farming, half on school fees and two thirds of the remainder on food. Calculate his February salary and the amount he spent on school fees if he spent sh. 3200 on food.
Date posted: November 20, 2019.
- a) The first term of a geometric Progression is 4.If the common ration is 2, find the greatest number of Terms that will give a...(Solved)
a) The first term of a geometric Progression is 4.If the common ration is 2, find the greatest number of Terms that will give a sum less than 40.
b) the 2nd, 4th and 7th terms of an Arithmetic progression are the first 3 consecutive terms of a Geometric progression ,if the common difference of the Arithmetic progression is 2,find
i) the common ratio
ii) the sum of the first eight terms of the Geometric progression.
Date posted: November 20, 2019.
- a)A plane flew due East to a town Q from a town P(600N,160W). The plane covered a distance of 5400nm.
Find;
i) Find the position of Q
ii)...(Solved)
a)A plane flew due East to a town Q from a town P(600N,160W). The plane covered a distance of 5400nm.
Find;
i) Find the position of Q
ii) The time at P when the time at Q is 0140 hrs on a Wednesday.
b) Another plane flew P to Q through the North Pole at a speed of 667 1/3 km determine the time taken by the plane (take π = 22/7) , R=6370 km)
Date posted: November 20, 2019.
- The table below shows data collected from an experiment involving two variables P and T
The variables are believed to satisfy an equation of the form...(Solved)
The table below shows data collected from an experiment involving two variables P and T
The variables are believed to satisfy an equation of the form p= k/T + m where k and m are constants.
a) For each of the value of T in the table above,write down the value of 1/T
b) (i) Using the scale 2cm to represent 1 unit on both axes draw a suitable straight line graph on the grid provided.
ii) Use the graph to estimate the value of k and m
iii) Write down the equation connecting P and T
Date posted: November 20, 2019.
- The table below shows marks obtained by 60 form four students in an English test.
(a) State the modal class
(b) Using an assumed mean of...(Solved)
The table below shows marks obtained by 60 form four students in an English test.
(a) State the modal class
(b) Using an assumed mean of 52,
Calculate:
(i) The actual mean
(ii) The standard deviation
(c) Estimate the median mark
Date posted: November 20, 2019.
- In a second year class of a certain college, 2/3 are boys and the rest are girls. 4/5 of the boys and 9/10 of the...(Solved)
In a second year class of a certain college, 2/3 are boys and the rest are girls. 4/5 of the boys and 9/10 of the girls are right handed ,the rest are left handed. The probability that a right handed students will answer a question correctly is 1/10 and the corresponding probability for a left handed students is 3/10 irrespective of the sex.
(a) Draw a tree diagram to represent the above information
(b) Determine:
i) The probability that a student chosen at random from the class is left hand
ii) The student is a girl and answers the questions incorrectly
iii) The probability that a question is answered correctly
Date posted: November 20, 2019.
- a) Complete the table below for y = x3 + 2x2 - 5x - 4
b) On the grid provided, draw the graph of y =...(Solved)
a) Complete the table below for y = x3 + 2x2 - 5x - 4
b) On the grid provided, draw the graph of y = x3 + 2x2 - 5x - 4 for -4 ≤ x ≤3. Use 2cm to represent 1 unit on the x axis and 1cm to represent 5 units on the y axis
c) i) Use the equation to solve the equation x3 + 2x2 - 5x - 4 = 0
ii) By drawing a suitable straight line on the graph, solve the equation x3 + 2x2 - 2x - 10 = 0
Date posted: November 20, 2019.
- The table below shows the income tax rates in a certain year.
Mrs.Masau earned a basic salary of ksh18600 per month and allowances amounting to ksh...(Solved)
The table below shows the income tax rates in a certain year.
Mrs.Masau earned a basic salary of ksh18600 per month and allowances amounting to ksh 7800 per month. She claimed a personal relief of ksh 1080 per month.
Calculate:
a) Total taxable income in k£ p.a
b) i) the tax payable in ksh per month without relief
ii)the tax payable in ksh per month after relief
c) Mrs. Musau’s net monthly income
Date posted: November 20, 2019.
- Find y given that is a singular matrix.(Solved)
Find y given that 
is a singular matrix.
Date posted: November 20, 2019.
- Evaluate(Solved)
Evaluate 
Date posted: November 20, 2019.
- a) Expand and simplify the expression (1+2x)6.
b) Use the first four terms of the expression in (a) above to find the approximate value of (1.02)6.(Solved)
a) Expand and simplify the expression (1+2x)6.
b) Use the first four terms of the expression in (a) above to find the approximate value of (1.02)6.
Date posted: November 20, 2019.
- A two digit number is such that the product of its tens and ones is 56.When the digits are reversed the number formed exceeds the...(Solved)
A two digit number is such that the product of its tens and ones is 56.When the digits are reversed the number formed exceeds the original number by 9. Find the number.
Date posted: November 20, 2019.
- Two taps P and Q can fill a cistern in 6 minutes and 4 minutes respectively. Another tap R can drain the same cistern in...(Solved)
Two taps P and Q can fill a cistern in 6 minutes and 4 minutes respectively. Another tap R can drain the same cistern in 8 minutes. Tap Q and R are opened for 2 minutes and then tap P is opened. Find the time taken to fill the cistern.
Date posted: November 20, 2019.
- The area of a sector of a circle of radius 15cm is 270cm2 .If the area of the sector subtends
an angle Ø at the centre...(Solved)
The area of a sector of a circle of radius 15cm is 270cm2 .If the area of the sector subtends
an angle Ø at the centre of the circle, calculate: Use π= 22/7
a) The size of angle Ø in radians
b) The length of the arc subtended by the angle Ø
Date posted: November 20, 2019.
- Without using tables or calculator evaluate(Solved)
Without using tables or calculator evaluate
Date posted: November 20, 2019.
- During the 1998 Safari rally, our local driver Patrick Njiru covered 550km in 2hours.Find the percentage error in his speed.(Solved)
During the 1998 Safari rally, our local driver Patrick Njiru covered 550km in 2hours.Find the percentage error in his speed.
Date posted: November 20, 2019.
- In the figure below PQ is parallel to RS. PS and QR intersect at A. Given that PQ=9cm, RS=3cm and AS=4cm, calculate the length of...(Solved)
In the figure below PQ is parallel to RS. PS and QR intersect at A. Given that PQ=9cm, RS=3cm and AS=4cm, calculate the length of PS.
Date posted: November 20, 2019.
- Make V the subject of the formula
Mgh - 1/2 mV2 = 1(Solved)
Make V the subject of the formula
Mgh - 1/2 mV2 = 1
Date posted: November 20, 2019.