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- Machine A can complete a piece of work in 6 hours while machine B can complete the same
work in 10 hours. If both machines start...(Solved)
Machine A can complete a piece of work in 6 hours while machine B can complete the same
work in 10 hours. If both machines start working together and machine B breaks down after
two hours, how long will it take machine A to complete the rest of the work.
Date posted: May 22, 2019. Answers (1)
- The first term of an arithmetic sequence is (2x+1) and the common difference is (x+1) if the
product of the first and the second terms is...(Solved)
The first term of an arithmetic sequence is (2x+1) and the common difference is (x+1) if the
product of the first and the second terms is zero, find the first three terms of the two possible
sequences.
Date posted: May 22, 2019. Answers (1)
- Find the inverse of the matrix.(Solved)
Find the inverse of the matrix.
Date posted: May 22, 2019. Answers (1)
- Find the value of x in the expression below(Solved)
Find the value of x in the expression below
Date posted: May 22, 2019. Answers (1)
- Expand (1 + 2??)8 in ascending powers of ?? up to and including the term in ??3. Hence
evaluate (1.02)8(Solved)
Expand (1 + 2𝑥)8 in ascending powers of 𝑥 up to and including the term in 𝑥3. Hence
evaluate (1.02)8
Date posted: May 22, 2019. Answers (1)
- Mwangi truncated 7/9 to 3 decimal places. Calculate the percentage error resulting from the
truncating.(Solved)
Mwangi truncated 7/9 to 3 decimal places. Calculate the percentage error resulting from the
truncating.
Date posted: May 22, 2019. Answers (1)
- Given the surds below Where a and b are rational numbers, find the values of a and b.(Solved)
Date posted: May 22, 2019. Answers (1)
- Form the quadratic equation whose roots are give below (Solved)
Date posted: May 22, 2019. Answers (1)
- Form the three inequalities that satisfy the unshaded region in the diagram below.(Solved)
Form the three inequalities that satisfy the unshaded region in the diagram below.
Date posted: May 22, 2019. Answers (1)
- V is a point on the minor arc SR.(Solved)
V is a point on the minor arc SR.
(a) Calculate the size of the following angles giving reasons for your answer.
(i) Angle QPS
(ii) Reflex Angle QOS
(iii)Angle QVS
(iv)Angle QVR
(b) Given that SR = 5cm and RV = 4cm find UQ.
Date posted: May 10, 2019. Answers (1)
- The diagram below shows a right pyramid on square base ABCD and vertex V. O is the centre of the base AB = 14cm.
VA =...(Solved)
The diagram below shows a right pyramid on square base ABCD and vertex V. O is the centre of the base AB = 14cm.
VA = 20cm and N is the midpoint of BC
Find
(a) the height of the pyramid
(b) the length VN
(c) the angle between
(i) BV and the plane ABCD
(ii) VO and the plane BVC
(d) Calculate the volume of the pyramid.
Date posted: May 10, 2019. Answers (1)
- A number is selected from 2, 5, 7, 9, 11, 13 and pared with another number selected from 4, 6, 8, 10, 12, 14.(Solved)
A number is selected from 2, 5, 7, 9, 11, 13 and pared with another number selected from 4, 6, 8, 10, 12, 14.
(a) Construct a table sharing how the numbers are paired.
(b) Find the probability that the sum of the selected numbers is even.
(c) Find the probability that the sum is a prime number and also add.
(d) Find the probability that the sum is greater than 15.
Date posted: May 10, 2019. Answers (1)
- The table below shows income tax rates.(Solved)
The table below shows income tax rates.
A company employee earns a monthly salary Kshs 32,000 and is also given a taxable house allowance amounting to
Kshs 1784 per month.
(a) Calculating his total income tax in K£ per month.
(b) The employee is entitled to a personal relief of Kshs 1700 per month determine his tax.
(c) If the employee is entitled to a personal relief of Kshs 1700 per month determine his tax.
Date posted: May 10, 2019. Answers (1)
- The pth term of a sequence is given by 2p + 3(Solved)
The pth term of a sequence is given by 2p + 3
(a) Write down the first five terms of the sequence.
(b) Find S50 , the sum of the first fifty terms of the sequence.
(c) Show that sum of the first P terms of the sequence is given by Sp = p² + 4p.
Hence or otherwise find the largest integral value of P such that Sp < 725
Date posted: May 10, 2019. Answers (1)
- The position of the two towns P and Q on the earths surface are (60°N 139°E) and (60°N, 41°W) respectively.(Solved)
The position of the two towns P and Q on the earths surface are (60°N 139°E) and (60°N, 41°W) respectively.
a) Find the latitude difference between P and Q.
(b) i) Given that the radius of the earth is 6370km, calculate the distance between P and Q (i) via the North pole.
(ii) Along the parallel of latitude.
(c) Another town R is 420km east of town P and on the same latitude as P and Q. Find the longitude of town R.
Date posted: May 10, 2019. Answers (1)
- The table below shows the distribution of marks of 50 students in an opener examination.(Solved)
The table below shows the distribution of marks of 50 students in an opener examination.
(a) i) Find the value of y.
(ii) State the modal class.
(b) Using an assumed mean of 45.5 find the mean.
(c) Calculate
(i) Variance.
(ii) Standard deviation.
Date posted: May 10, 2019. Answers (1)
- Make P the subject of the formula.(Solved)
Make P the subject of the formula.
Date posted: May 10, 2019. Answers (1)
- In the figure below lines ABC and DC are tangents ot the circle at B and D respectively.(Solved)
In the figure below lines ABC and DC are tangents ot the circle at B and D respectively.
(a) Angle CBD
(b) Angle CDE
Date posted: May 10, 2019. Answers (1)
- A book and a ruler are sold at a discount of 8% and 3% respectively. Calculate the overall discount offered on the two
commodities if the...(Solved)
A book and a ruler are sold at a discount of 8% and 3% respectively. Calculate the overall discount offered on the two
commodities if the cost of the book is four times that of ruler.
Date posted: May 10, 2019. Answers (1)
- The graph below is part of the straight line graph obtained from the initial equation R = bZn.(Solved)
The graph below is part of the straight line graph obtained from the initial equation R = bZn.
(a) Write down the equation of the straight line in the form.
y = m x + c
(b) Use the graph to calculate the values of b and n
Date posted: May 10, 2019. Answers (1)