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The table below shows marks scored by students in a maths test.
(Solved)
The table below shows marks scored by students in a maths test.
a) Prepare a frequency distribution table from the above table.
b) i) State the modal class.
ii) Calculate the mean and the median.
c) Find the mark if the percentage pass was 
Date posted:
August 7, 2019
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Answers (1)
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The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t...
(Solved)
The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t + 5 metres
(a) Acceleration after t seconds
(b) Velocity when acceleration is zero.
Date posted:
August 7, 2019
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Answers (1)
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A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4)....
(Solved)
A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4). The diagonal QS and PR meet at point M. Given that the equation of the line PR is y = x + 4.
a) Find the equation of the diagonal QS.
b) Find the co-ordinates of the midpoint M of QS.
c) Find the co-ordinates of the points R and S.
d) Plot on the grid provided the rhombus PQRS.
Date posted:
August 7, 2019
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Answers (1)
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Given that Sin ?= 2/3 and ? is an acute angle, find without using tables or calculators
(a) tan ?, giving your answer in surd form....
(Solved)
Given that Sin θ= 2/3 and θ is an acute angle, find without using tables or calculators
(a) tan θ, giving your answer in surd form.
(b) Cos (90 - θ)
Date posted:
August 7, 2019
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Answers (1)
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An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm...
(Solved)
An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm and internal dimensions 10cm by 12 cm. Calculate the length of the pipe in metres.
Date posted:
August 7, 2019
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Answers (1)
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Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business.
(Solved)
Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business. They agreed to share the profits as follows;
30% shared equally
30% shared in ratio of contributors
40% retained for running business.
Their profit for the year 2008 was Ksh. 86, 400
Calculate.
a) The amount shared equally.
b) The total amount received by each partner
c) The amount retained for running the business.
Date posted:
August 7, 2019
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Answers (1)
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A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill...
(Solved)
A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill the tank to the same depth. Pipe R can empty this amount of water in 6hrs.
(a) i) Starting with an empty tank, P runs alone for one hour. How many centimeters deep will the water in the tank be?
ii) Having run for an hour in (i) above, Pipe P continues to run for additional 20 minutes after which it’s turned off. The remaining two pipes are left open with pipe R left to run for 4 hours while pipe Q runs for 2 hours. What will the depth of water in the tank be?
b) If the tank was initially 6.5m full and the three pipes are open, how long will it take to fill the tank such that only a third of the initial height of the tank remains empty?
Date posted:
August 7, 2019
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Answers (1)
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Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0....
(Solved)
Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0. Drop a perpendicular from D to meet AB at N. Determine the length DN.
Date posted:
August 7, 2019
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Answers (1)
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The figure below shows a solid made by placing two equal regular tetrahedra.
(Solved)
The figure below shows a solid made by placing two equal regular tetrahedra.
a) Draw the net of the solid.
b) If each face is an equilateral triangle of side 5cm. Find the surface area of the solid to 4 s.f
Date posted:
August 7, 2019
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Answers (1)
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Find the integral values of x which satisfy the following inequalities
(Solved)
Find the integral values of x which satisfy the following inequalities
2 (2 - x) < 4x – 9 < x + 11
Date posted:
August 7, 2019
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Answers (1)
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Four towns P, R, T and S are such that R is 80km directly to the north of P and T is on a bearing...
(Solved)
Four towns P, R, T and S are such that R is 80km directly to the north of P and T is on a bearing of 290º from P at a distance of 65km. S is on a bearing of 330º from T and a distance of 30 km.
Using a scale of 1cm to represent 10km, make an accurate scale drawing to show the relative position of the towns.
Find:
(a) The distance and the bearing of R from T
(b) The distance and the bearing of S from R
(c) The bearing of P from S
Date posted:
August 7, 2019
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Answers (1)
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A two digit number is such that the sum of its digits is 13. The product of twice the tens digit and
the units digit minus...
(Solved)
A two digit number is such that the sum of its digits is 13. The product of twice the tens digit and
the units digit minus the original number is 22. Find the number.
Date posted:
August 7, 2019
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Answers (1)
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Use the square, cube root, and reciprocal table to evaluate to 4 d.p
(Solved)
Use the square, cube root, and reciprocal table to evaluate to 4 d.p
Date posted:
August 7, 2019
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Answers (1)
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Water and ethanol are mixed such that the ratio of the volume of water to that of ethanol is 3: 1. Taking the density of...
(Solved)
Water and ethanol are mixed such that the ratio of the volume of water to that of ethanol is 3: 1. Taking the density of water as 1 g/cm3 and that of ethanol as 1.2g/cm3, find the mass in grams of 2.5 litres of the mixture.
Date posted:
August 7, 2019
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Answers (1)
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Mwangi and Otieno live 60km apart. Mwangi leaves his home at 7.00am cycling towards Otieno’s house at 20km/h. Otieno leaves his home at 8.00am cycling...
(Solved)
Mwangi and Otieno live 60km apart. Mwangi leaves his home at 7.00am cycling towards Otieno’s house at 20km/h. Otieno leaves his home at 8.00am cycling towards Mwangi’s house at 8km/h
a) At what time did they meet?
b) How far is the meeting point from Mwangi’s house?
Date posted:
August 7, 2019
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Answers (1)
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Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y...
(Solved)
Two lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y = 2x – 2, find, by calculation, the coordinates of P.
Date posted:
August 7, 2019
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Answers (1)
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The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other...
(Solved)
The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other 2 numbers.
Date posted:
August 7, 2019
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Answers (1)
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Write the odd numbers in descending order between 1 and 10 inclusive
(Solved)
a) Write the odd numbers in descending order between 1 and 10 inclusive
b) Round off the number formed to 3 significant figures.
c) Find the total value of digit 7 in the new number in 1(b) above.
Date posted:
August 7, 2019
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Answers (1)
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An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the...
(Solved)
An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the progression
(ii) The arithmetic progression above is such that it is increasing and the third, ninth and twenty fifth terms form the first three consecutive terms e.g. a geometric progression. If the sum of the seventh term and twice the sixth term of the A.P is 78.Calculte the first term and the common difference of A.P.
Date posted:
August 7, 2019
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Answers (1)
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Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 6.4m. Calculate
(i) The length of 7th...
(Solved)
Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 6.4m. Calculate
(i) The length of 7th jump
(ii) The total distance covered after the 7th jump
Date posted:
August 7, 2019
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Answers (1)