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A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1)....
(Solved)
A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1). If the co – ordinates of A,B,C and D are (-1,1), (0,1), (3,4) and (2,4) respectively:-
(a)Draw ABCD and A1 B1C1 and D1 under the shear on the grid provided and state
Co-ordinates of B1 and C1.
(b)State the invariant line.
(c)A1 B1C1 and D1 undergoes a stretch parallel to y – axis with scale factor -2 and invariant line y =3. On the same grid, draw A//B//C//D// the image of A1 B1C1 D1 under the stretch
(d)Describe completely the transformation that maps A//B//C//D// onto ABCD.
Date posted:
September 16, 2019
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Answers (1)
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Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC...
(Solved)
Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC = 750.
(b)Measure
(i)the length of AC
(ii)the angle ACB
(c)(i)Construct the locus of p such that BP = PC
(ii)Construct the locus of Q such that Q is on the opposite side of BC as A and angle
BCQ = 300.
(d)(i)the locus of P and Q meet at X, mark X .
(ii)Construct the locus of R in which angle BRC = 1200.
Date posted:
September 16, 2019
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Answers (1)
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The table below shows taxation rates in Kenya.
A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month....
(Solved)
The table below shows taxation rates in Kenya.

A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month. In addition the government gives him a medical allowance of Kshs. 7,000 p.m, entertainment allowance of Kshs. 3,000 p.m. He is entitled to a personal relief of Ksh. 1700 p.m. If the civil servants net tax is Kshs. 6,900 p.m.
Determine his :-
(a)Gross tax p.m
(b)Taxable income p.m
(c)Basic salary p.m
Date posted:
September 16, 2019
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Answers (1)
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A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms....
(Solved)
A computer whose marked price is sh. 40,000 is sold at sh. 56,000 on hire purchase terms. Mary bought the computer on hire purchase terms. She paid a deposit of 25% of the hire purchase and cleared the balance by equal Monthly installments of sh. 2625. Calculate the rate of interest charged per Month.
Date posted:
September 16, 2019
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Answers (1)
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Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine...
(Solved)
Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine the coordinates of P.
Date posted:
September 16, 2019
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Answers (1)
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The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...
(Solved)
The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
ax2 + by2 + cx + dy + e = 0
Date posted:
September 16, 2019
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Answers (1)
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The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...
(Solved)
The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.
Date posted:
September 16, 2019
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Answers (1)
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A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
(Solved)
A triangle ABC is transformed by the matrix

to give a straight line. Find the acute angle x in the matrix.
Date posted:
September 16, 2019
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Answers (1)
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Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is...
(Solved)
Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is raised by 155.If he gets tax relief of sh.720 per month calculate his P.A.Y.E
Date posted:
September 16, 2019
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Answers (1)
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The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda...
(Solved)
The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda the probability that he is late to school is 2/5 and if he uses a matatu the probability of being late is 3/10 . If he use other means of transport the probability of being late is 3/20 .
(a) Draw a tree diagram to represent this information.
(b) Find the probability that he will be late for school.
(c) Find the probability that he will be late for school if he does not use a matatu.
(d) What is the probability that he will not be late to school
Date posted:
September 16, 2019
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Answers (1)
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A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum...
(Solved)
A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum of 6m.
(a)Find the volume of water that can be held by the full dip in litres
(b)If the dip is drained by a pipe of radius 15cm at the rate of 6m/l, how long will it take to drain a full dip?
Date posted:
September 16, 2019
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Answers (1)
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The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.Find the co-ordinates...
(Solved)
The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.
Find the co-ordinates of D.
Date posted:
September 16, 2019
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Answers (1)
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Find the percentage error in calculating the volume of a sphere radius 4.9cm.
(Solved)
Find the percentage error in calculating the volume of a sphere radius 4.9cm.
Date posted:
September 16, 2019
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Answers (1)
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Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x
(Solved)
Complete the table below for the functions y = 2 sin (x – 300) and y = Cos 2x.

(a) On the same set of axes, draw the graphs of y = 2 Sin (x - 30) and y = cos 2x in
The range 00 < 3600
(b) Use your graph to solve the equation 2 sin (x - 300) = cos 2x
(c) State the,
(i) phase angle for the wave y = 2 Sin (x -30°)
(ii) period for the wave y = cos 2x.
Date posted:
September 13, 2019
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Answers (1)
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The table below shows monthly income tax rates.
(Solved)
The table below shows monthly income tax rates.

A civil servant earns a salary of Sh.42000 and is provided with a house at a nominal rent of Sh. 1500 per month.
(a) Taxable pay is the employee’s salary plus 15% of salary less nominal rent. Calculate the civil servant’s taxable income in K£ p.m.
(b) If the employee is entitled to a personal relief of Sh.900 p.m., what is his PAYE?
(c,) The following deductions are made from his gross monthly pay; NHIF - Sh 630, WCPS - Sh 540, Union dues - Sh 330, SACCO loan recovery - Sh.7000 and Co - operative shares Sh.2500 Calculate his net monthly pay.
Date posted:
September 13, 2019
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Answers (1)
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A student misread the number 0.4 07 for 0.407 . Calculate the percentage error incurred in using the wrong number
(Solved)
A student misread the number 0.4 07 for 0.407 . Calculate the percentage error incurred in using the wrong number
Date posted:
September 13, 2019
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Answers (1)
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From a point P a boy notices that the angle of elevation of the top of a tall building is 45°.
(Solved)
From a point P a boy notices that the angle of elevation of the top of a tall building is 45°. He moves 270m from P to Q and realizes that the new angle of depression is 30°. Given that Q is on the same side of the building as P, find the height of the building.
Date posted:
September 13, 2019
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Answers (1)
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A farmer has three containers of capacity 12, 15 and 21 litres.
(Solved)
A farmer has three containers of capacity 12, 15 and 21 litres. Calculate the capacity of the largest. container which can fill each one of them an exact number of times.
Date posted:
September 13, 2019
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Answers (1)
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A small scale farmer wishes to buy some sheep and goats for rearing. A sheep costs sh.400 and a goat costs sh.300.
(Solved)
A small scale farmer wishes to buy some sheep and goats for rearing. A sheep costs sh.400 and a goat costs sh.300. The farmer has enough space for only 20 animals and may spend at most sh.6800. The number of goats should not exceed twice the number of sheep.
a) By letting x and y to represent the number of sheep and goats he can buy respectively, write down all inequalities from the above information.
b) Represent the inequalities on the grid provided.
c) From your graph; find the maximum number of animals he can buy at the lowest cost.
Date posted:
September 13, 2019
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Answers (1)
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The probability that it will rain on a certain morning is 1/3.
(Solved)
The probability that it will rain on a certain morning is 1/3. If it rains, the probability that Sagero misses the bus is 3/4. If it does not rain, the probability that he catches the bus is 5/6.
a) Represent the above information in a tree diagram.
b) Calculate the probability that on a given morning
i) it rains and he catches the bus.
ii) it rains and he misses the bus.
iii) he misses the bus.
iv) it does not rain and he misses the bus.
Date posted:
September 13, 2019
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Answers (1)