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An item that costs sh 24000 cash can be bought on hire purchase. A customer pays sh 6000
as deposit and then makes 6 monthly instalments...
(Solved)
An item that costs sh 24000 cash can be bought on hire purchase. A customer pays sh 6000
as deposit and then makes 6 monthly instalments of sh 3500 each. Calculate the monthly rate
of compound interest, giving your answer to 1 d.p.
Date posted:
May 22, 2019
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Make P the subject of the formula.
(Solved)
Make P the subject of the formula.
Date posted:
May 10, 2019
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Answers (1)
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Point A(3, 4) is mapped onto A1 (7, 8) by an enlargement scale factor 3, determine the centre of enlargement.
(Solved)
Point A(3, 4) is mapped onto A1 (7, 8) by an enlargement scale factor 3, determine the centre of enlargement.
Date posted:
May 10, 2019
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Answers (1)
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Solve for m in the given equation
(Solved)
Solve for m in the given equation
Date posted:
May 10, 2019
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Answers (1)
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A quantity y is partly constant and partly varies as x. If x = 7, y = 4 and x = 16, y = 40....
(Solved)
A quantity y is partly constant and partly varies as x. If x = 7, y = 4 and x = 16, y = 40. Find the equation connecting x
and y . Find the value of x when y = 30.
Date posted:
May 10, 2019
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Answers (1)
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A sales man is paid a commission of 2% on goods worth over kshs 100,000. He is also paid a monthly salary of Kshs
12000. In...
(Solved)
A sales man is paid a commission of 2% on goods worth over kshs 100,000. He is also paid a monthly salary of Kshs
12000. In certain month, he sold 360 handbags at Kshs 500 each.
(a) Calculate the salesman's earnings that month.
(b) The following month, the salesman's monthly salary was increased by 10%. His total earnings that month was shs
17600 Calculate:
(i) the total amount of money received from the sales of handbags that month.
(ii) the total number of handbags sold that month.
Date posted:
May 10, 2019
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Answers (1)
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A bus left Mombasa and travelled towards Nairobi at an average speed of 60km/h. After 2½hours, a car left Mombasa
and travelled along the same road...
(Solved)
A bus left Mombasa and travelled towards Nairobi at an average speed of 60km/h. After 2½hours, a car left Mombasa
and travelled along the same road at an average speed of 100km/h. If the distance between Mombasa and Nairobi is
500km, determine:
(a) (i) the distance of the bus from Nairobi when the car took off.
(ii) the distance the car travelled to catch up with the bus.
(b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average sped at which
the car travelled in order to reach Nairobi at the same time as the bus.
Date posted:
May 10, 2019
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Answers (1)
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The boundaries PQ, QR, RS and SP of a ranch are straight lines such that Q is 16km on a bearing of 040° from P....
(Solved)
The boundaries PQ, QR, RS and SP of a ranch are straight lines such that Q is 16km on a bearing of 040° from P. R is
directly south of Q and East of P and S is 12km on a bearing of 120° from R.
(a) Using a scale of 1cm to represent 2km, show the above information in a scale drawing.
(b) From the scale drawing determine:
(i) the distance in kilometres between P and S.
(ii) the bearing of P from S.
Date posted:
May 10, 2019
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Answers (1)
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(a) On the grid provided, draw the graph of the function y = ½ x² - x + 3 for 0 = x = 6
(Solved)
(a) On the grid provided, draw the graph of the function y = ½ x² - x + 3 for 0 ≤ x ≤ 6
(b) Calculate the mid-ordinates for 5 strips between x = 1 and x = 6 and hence use the mid-ordinate rule to
approximate the area under the curve between x = 1, x = 6, and x-axis.
(c) Assuming that the area determined by integration to be the actual area, calculate the percentage error in using the
mid-ordinate rule.
Date posted:
May 10, 2019
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Answers (1)
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A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42m.
(Solved)
A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42m.
( a) Calculate the :-
(i) Area of the plot in hectares.
(ii) The acute angle between the sides AB and BC.
(b) A water tap is to be installed inside the plot such that the tap is at the centre of the circumcircle passing through
the vertices A, B and C. Calculate the distance of the tap from the vertex A.
(c) Find the area outside the plot that would be watered by the sprinkler connected directly to the tap.
Date posted:
May 10, 2019
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Answers (1)
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In the diagram below OA = a, OB = b the points P and Q are such that AP = 2/3 AB, OQ = 1/3...
(Solved)
In the diagram below OA = a, OB = b the points P and Q are such that AP = 2/3 AB, OQ = 1/3 OA
(a) Express OP and BQ in terms of a and b
(b) If OC = hOP and BC = kBQ, Express OC in two different way and hence
(i) Deduce the value of h and k.
(ii) Express vector OC in terms of a and b only.
(iii) State the ratio in which C divides BQ
Date posted:
May 10, 2019
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Answers (1)
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The diagram below represents the cross section of a solid prism of length 8cm
(Solved)
The diagram below represents the cross section of a solid prism of length 8cm
(a) Calculate the volume of the prism.
(b) Given that the density of the prism is 5.75gcm-³, calculate its mass in grams.
(c) A second prism is similar to the first one but it made of a different materials. The volume of the second prism is
246.24cm³.
Calculate the area of the cross-section of the second prism.
(d) Given that the ratio of the mass of the first prism to that of the second is 2.5, find the density of the second prism.
Date posted:
May 10, 2019
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Answers (1)
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Last year, Nafula was four times as old as her son, Kamau. In four years time, the sum of their ages will be 53.
Determine their...
(Solved)
Last year, Nafula was four times as old as her son, Kamau. In four years time, the sum of their ages will be 53.
Determine their present ages
Date posted:
May 10, 2019
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Answers (1)