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A varies directly as B and inversely as the square root of C. Find the percentage change in A if B isincreased by 12% and...
(Solved)
A varies directly as B and inversely as the square root of C. Find the percentage change in A if B is increased by 12% and C is reduced by 36%.
Date posted:
September 30, 2019
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Answers (1)
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Use reciprocal tables to find the reciprocal of 0.216 to 3 d.p hence evaluate.
(Solved)
Use reciprocal tables to find the reciprocal of 0.216 to 3 d.p hence evaluate.

Date posted:
September 30, 2019
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Answers (1)
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(a)Draw the graph of the function. y=6x + x2 -x3 for -3 = x = 4
(b)By drawing a suitable straight line(s) on the graph in...
(Solved)
(a)Draw the graph of the function. y=6x + x2 -x3 for -3 ≤ x ≤ 4
(b)By drawing a suitable straight line(s) on the graph in (a) above estimate the roots of the following equations.
(i) 6x + x2 - x3 = 0
(ii) 2x + x2 - x3 = 0
Date posted:
September 25, 2019
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Answers (1)
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The table below shows the marks scored by students in a Mathematics test.
(a)Calculate the median mark.
(b)Using an assumed mean of 52, calculate the mean mark.
(c)On...
(Solved)
The table below shows the marks scored by students in a Mathematics test.

(a)Calculate the median mark.
(b)Using an assumed mean of 52, calculate the mean mark.
(c)On the grid provided, draw a histogram to represent the information shown above.
Date posted:
September 25, 2019
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Answers (1)
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The table below shows tax rates in the year 2012.
(a)Mrs. Mwangi pays Ksh.5400 as PAYE. She is entitled to a house allowance of Ksh.9000p.m...
(Solved)
The table below shows tax rates in the year 2012.

(a)Mrs. Mwangi pays Ksh.5400 as PAYE. She is entitled to a house allowance of Ksh.9000p.m and claims a monthly tax relief of Ksh.1093. Calculate;
(i)Her gross tax per annum.
(ii)Her monthly basic salary in Ksh.
(b)She also has monthly contributions as follows:
(i)Cooperative society contribution of Ksh.2000.
(ii)Loan repayment of Ksh.2500.
Calculate her net monthly salary.
Date posted:
September 25, 2019
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Answers (1)
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(a)A die and a coin (both fair) are thrown on a horizontal floor.
(i)List all the possible outcomes.
(ii)Find the probability of getting even number on the...
(Solved)
(a)A die and a coin (both fair) are thrown on a horizontal floor.
(i)List all the possible outcomes.
(ii)Find the probability of getting even number on the die and a tail on
the coin or an odd number on the die and a head on the coin.
(iii)Find the probability of getting a number greater than or equal to 3 on
the die and a head on the coin.
(b)The probability that a student gets grade A in Mathematics is 9/10. If she gets grade A in Mathematics then the probability that she gets grade A in Physics is 4/5. If she does not get grade A in Mathematics then the probability that she gets grade A in Physics is 3/8. Calculate the probability that she gets grade A in Physics only.
Date posted:
September 25, 2019
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Answers (1)
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A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types...
(Solved)
A shopkeeper mixes sugar costing Sh.40 per kg with another type which costs Sh.60 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at Sh.55, a profit of 10% is realised.
Date posted:
September 25, 2019
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Answers (1)
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Find the inverse of the matrix hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
(Solved)
Find the inverse of the matrix
hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
Date posted:
September 25, 2019
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Answers (1)
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Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
(Solved)
Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
Date posted:
September 25, 2019
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Answers (1)
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y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10...
(Solved)
y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10 is 16. Find the law connecting x and y.
Date posted:
September 25, 2019
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Answers (1)
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A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
(Solved)
A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
Date posted:
September 25, 2019
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Answers (1)
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Evaluate using logarithms.
(Solved)
Evaluate using logarithms.

Date posted:
September 25, 2019
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Answers (1)
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In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ?, ¾ and ? respectively
(a)Draw a tree diagram to represent...
(Solved)
In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ⅔, ¾ and ⅚ respectively
(a)Draw a tree diagram to represent this information
(b)Use the tree diagram to find the probability that:
(i)All the three students will fail
(ii)At least two students will pass.
(iii)Only one student will pass
Date posted:
September 24, 2019
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Answers (1)
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The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 ...
(Solved)
The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 2
326 - 975 3
976 - 1300 5
1301 - 1625 6
Over 1625 7.5
(a)Mr. Sigei is a public servant who lives in a government house and pays a nominal rent of Ksh. 1220 per month. He earns a basic salary of Ksh. 24,800 and taxable allowances of Ksh. 13,380 per month. He is entitled to a monthly tax relief of Ksh. 1120. Calculate his monthly
i)Taxable income in K£.
ii)Gross tax.
iii)Tax due
(b)Apart from income tax, the following monthly deductions are made from his salary.
i) HELB loan repayment Ksh. 2400
ii) NHIF Ksh 320
iii) 2% basic salary as union dues.
Calculate Mr. Sigei’s monthly net salary.
Date posted:
September 24, 2019
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Answers (1)
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A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum...
(Solved)
A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum of its value in 3 years ago and 3 years’ time.
Date posted:
September 24, 2019
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Answers (1)
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Using a ruler and a pair of compass only;
a)Construct a triangle PQR such that PR=7.5cm, PQ=3.0cm and
(Solved)
Using a ruler and a pair of compass only;
a)Construct a triangle PQR such that PR=7.5cm, PQ=3.0cm and b)Construct the locus T of points which are equidistant from a point L and passes through the vertices P, Q and R.
c)Locate the locus S on T such that it is equidistant from sides PQ and QR of the triangle.
d)Locate the locus of points G enclosed by PQ and QS such that QG <2cm
e)Measure SL.
Date posted:
September 24, 2019
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Answers (1)
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OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is...
(Solved)
OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is another point on PQ such that PY: YQ = 1: 2. Lines OY and XQ intersect at T.
a) Express the following vectors in terms of p and q
(i)PQ
(ii)OY
(iii)QX
(b)If OT = k OY and QT = h QX express OT in two different ways. Hence or otherwise find the values of h and k.
(c) Determine the ratio OT: TY.
Date posted:
September 24, 2019
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Answers (1)
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The average of the first and fourth terms of a GP is 185. Given that the first term is 27, find the common ratio.
(Solved)
The average of the first and fourth terms of a GP is 185. Given that the first term is 27, find the common ratio.
Date posted:
September 24, 2019
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Answers (1)
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Solve for x in log(2x + 4) - log(x-1) = 3log 2.
(Solved)
Solve for x in log(2x + 4) - log(x-1) = 3log 2.
Date posted:
September 24, 2019
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Answers (1)
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The cost of maize flour and millet flour is Kshs 44 and Kshs 56 respectively. Calculate the ratio in which they were mixed if a...
(Solved)
The cost of maize flour and millet flour is Kshs 44 and Kshs 56 respectively. Calculate the ratio in which they were mixed if a profit of 20% was made by selling the mixture at Kshs. 54.
Date posted:
September 24, 2019
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Answers (1)