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- Solve the simultaneous equations:(Solved)
Solve the simultaneous equations:
![fig10123920191539.png](/questions/uploads/fig10123920191539.png)
Date posted: September 23, 2019. Answers (1)
- A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.(Solved)
A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
Date posted: September 23, 2019. Answers (1)
- Use Logarithm tables to evaluate(Solved)
Use Logarithm tables to evaluate
![fig9823920191533.png](/questions/uploads/fig9823920191533.png)
Date posted: September 23, 2019. Answers (1)
- Using logarithms, evaluate(Solved)
Using logarithms, evaluate
![fig9623920191506.png](/questions/uploads/fig9623920191506.png)
Date posted: September 23, 2019. Answers (1)
- Make x the subject of the formula:(Solved)
Make x the subject of the formula:
![fig9423920191502.png](/questions/uploads/fig9423920191502.png)
Date posted: September 23, 2019. Answers (1)
- Solve the equation(Solved)
Solve the equation ![fig9223920191447.png](/questions/uploads/fig9223920191447.png)
Date posted: September 23, 2019. Answers (1)
- Make P the subject of the formula(Solved)
Make P the subject of the formula ![fig9023920191433.png](/questions/uploads/fig9023920191433.png)
Date posted: September 23, 2019. Answers (1)
- The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52...(Solved)
The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52 passengers and 200kg of luggage.
Type B carries 32 passengers and 300kg of luggage. On a certain day, there were 500
passengers with 3500kg of luggage to be transported. The company could only use a
maximum of 15 buses altogether.
a)If the company uses x buses of type A and y buses of type B. Write down all the
inequalities satisfied by the above conditions.
b)Draw the inequalities representing the above information
c)If the cost of running one bus of type A is sh.7200 and that of type B is sh.6000,
find the minimum cost of running the buses.
Date posted: September 23, 2019. Answers (1)
- A particle moves in a straight line with acceleration (5 – 12t) m/s2, t seconds after the start.
Given that the particle started with a velocity...(Solved)
A particle moves in a straight line with acceleration (5 – 12t) m/s2, t seconds after the start.
Given that the particle started with a velocity of 3m/s.
a)Find the velocity in terms of t.
b)Determine the velocity after 2 seconds
c)Determine the maximum velocity attained by the particle
d)Calculate the distance covered after one second.
Date posted: September 23, 2019. Answers (1)
- In Kemera Secondary school, there are 110 candidates. They sat for a test and scored the following marks
a)i)Find the value of X
ii)Draw a cumulative frequency...(Solved)
In Kemera Secondary school, there are 110 candidates. They sat for a test and scored the following marks
![fig8423920191236.png](/questions/uploads/fig8423920191236.png)
a)i)Find the value of X
ii)Draw a cumulative frequency curve representing the information above.
b)Use the graph to estimate the;
i)Median
ii)70th percentile
c)If 20% of the candidates passed the test, use the graph to determine the passmark.
Date posted: September 23, 2019. Answers (1)
- a)Draw a rectangle PQRS, P(1, 1) Q(4,1), R(4, 3) and S(1, 3) and its image P1Q1R1S1
under a transformation represented by the matrix.
b)P1Q1R1S1 is mapped...(Solved)
a)Draw a rectangle PQRS, P(1, 1) Q(4,1), R(4, 3) and S(1, 3) and its image P1Q1R1S1
under a transformation represented by the matrix.![fig8023920191227.png](/questions/uploads/fig8023920191227.png)
b)P1Q1R1S1 is mapped onto P11Q11R11S11 by the matrix ![fig8123920191228.png](/questions/uploads/fig8123920191228.png)
Draw the image P11Q11R11S11, on the same axes.
c)Determine the single matrix which maps P11Q11R11S11 onto PQRS
d)Find the coordinates of P111Q111R111S111 the image of P11Q11R11S11 after a reflection in the line y = x.
Date posted: September 23, 2019. Answers (1)
- The income taxation table for the year 2010 was as shown;
Mr. Ochieng is an employee who earns a basic salary of Ksh.30,000 per month. Other...(Solved)
The income taxation table for the year 2010 was as shown;
![fig7823920191219.png](/questions/uploads/fig7823920191219.png)
Mr. Ochieng is an employee who earns a basic salary of Ksh.30,000 per month. Other
monthly benefits are a house allowance of Ksh.6,000 and commuter allowance of Ksh.3,400.
He claims a tax relief of sh.1156 per month.
Calculate
a)i)His monthly taxable income in K₤
ii)His monthly net tax
b)Other deductions per month are:-
NHIF Kshs.320
Coop Loan Ksh.5400
WCPS ksh.300
Calculate his monthly net salary
Date posted: September 23, 2019. Answers (1)
- The figure below shows a cuboid ABCDEFGH. AB = 6cm, BC = 4cm and CG = 8cm.
Given that N is the midpoint of EH.
Calculate...(Solved)
The figure below shows a cuboid ABCDEFGH. AB = 6cm, BC = 4cm and CG = 8cm.
Given that N is the midpoint of EH.
![fig7623920191215.png](/questions/uploads/fig7623920191215.png)
Calculate the angle between line BN and the base ABCD.
Date posted: September 23, 2019. Answers (1)
- Solve the trigonometric equation.
Cos 2x = sin x for 00 < x < 3600(Solved)
Solve the trigonometric equation.
Cos 2x = sin x for 00 < x < 3600
Date posted: September 23, 2019. Answers (1)
- Two points are A(-4, 3) and B(6, -7). A point P moves such that its locus is equidistant
from A and B. Find the equation...(Solved)
Two points are A(-4, 3) and B(6, -7). A point P moves such that its locus is equidistant
from A and B. Find the equation of the locus of P in the form ax + by = c.
Date posted: September 23, 2019. Answers (1)
- a)Expand (1 – 2x)10 up to the 4th term.
b)Hence use your expansion in (a) above to evaluate (0.98)10 correct to 4s.f(Solved)
a)Expand (1 – 2x)10 up to the 4th term.
b)Hence use your expansion in (a) above to evaluate (0.98)10 correct to 4s.f
Date posted: September 23, 2019. Answers (1)
- The cost C of operating a computer business is partly constant and partly varies as the square of labour input L. If C = 25,000...(Solved)
The cost C of operating a computer business is partly constant and partly varies as the square of labour input L. If C = 25,000 when L = 20 and C = 45,000 when L = 30. Find C when L = 8.
Date posted: September 23, 2019. Answers (1)
- Two lines, x + 2y = -1 and 2x + 3y = 3 intersect at a point P. Find the equation of the circle, Centre...(Solved)
Two lines, x + 2y = -1 and 2x + 3y = 3 intersect at a point P. Find the equation of the circle, Centre P, radius 4 units giving your answer in the form x2 + y2 + ax + by = c, where a, b and c are constants.
Date posted: September 23, 2019. Answers (1)
- The gradient function of a curve is given as 3x2 – 4x + 1. If the curve passes through the Point (1, -2). Find the...(Solved)
The gradient function of a curve is given as 3x2 – 4x + 1. If the curve passes through the Point (1, -2). Find the equation of the curve.
Date posted: September 23, 2019. Answers (1)
- Make S the subject of the formula (Solved)
Make S the subject of the formula
![fig7023920191150.png](/questions/uploads/fig7023920191150.png)
Date posted: September 23, 2019. Answers (1)