- A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where...(Solved)
A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where s = t3 – 6t2 + 8t – 4
Find
a)The velocity of the particle when t = 5
b)The acceleration when t = 5 seconds
c)The time when the velocity of the particle is constant
Date posted: September 19, 2019. Answers (1)
- Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town...(Solved)
Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town B and C are 100km apart. If the time she takes from B to C is the same time from A to B, find the value of x
Date posted: September 19, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: September 19, 2019. Answers (1)
- A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
...(Solved)
A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
b)Find the probability that the number formed is prime
Date posted: September 19, 2019. Answers (1)
- Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a...(Solved)
Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a blend that cost sh53 per kilogram
Date posted: September 19, 2019. Answers (1)
- A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T(Solved)
A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T
Date posted: September 19, 2019. Answers (1)
- In mr Mukala’s shop, a radio has marked price of ksh10000. Mr mukala can allow a reduction of 15% on the marked price and still...(Solved)
In mr Mukala’s shop, a radio has marked price of ksh10000. Mr mukala can allow a reduction of 15% on the marked price and still make a profit of 25% on the cost price of the radio. What was the cost price of the radio?
Date posted: September 19, 2019. Answers (1)
- An arc of a circle radius 3.5cm is 9.1cm long. Find the angle it substends at the centre of the circle(Solved)
An arc of a circle radius 3.5cm is 9.1cm long. Find the angle it substends at the centre of the circle
Date posted: September 19, 2019. Answers (1)
- Solve for x(Solved)
Solve for x
Date posted: September 19, 2019. Answers (1)
- Use binomial expansion to expand up to the 4th term (Solved)
Use binomial expansion to expand 
up to the 4th term
Date posted: September 19, 2019. Answers (1)
- Use matrix method to determine the co-ordinates of the point of intersection of the two lines.
3x – 2y = 13, 2y + x + 1...(Solved)
Use matrix method to determine the co-ordinates of the point of intersection of the two lines.
3x – 2y = 13, 2y + x + 1 = 0
Date posted: September 19, 2019. Answers (1)
- Evaluate;(Solved)
Evaluate;
Date posted: September 19, 2019. Answers (1)
- Make t the subject of formula.(Solved)
Make t the subject of formula.
Date posted: September 19, 2019. Answers (1)
- Using logarithms evaluate;(Solved)
Using logarithms evaluate;
Date posted: September 19, 2019. Answers (1)
- (a) Calculate the turning point of the function y = x3 -3x and state their nature.
Hence sketch the curve.
(b)Find the area of each of...(Solved)
(a) Calculate the turning point of the function y = x3 -3x and state their nature.
Hence sketch the curve.
(b)Find the area of each of the two segments of the curve y = x3 -3x cut off by the x-axis
Date posted: September 19, 2019. Answers (1)
- (a) Without using a protractor or a set square, construct a parallelogram PQRS such thatPQ = 7.5cm , PS = 5cm and QPS = 67½...(Solved)
(a) Without using a protractor or a set square, construct a parallelogram PQRS such that PQ = 7.5cm , PS = 5cm and QPS = 67½ °.
On the same diagram locate:
(b) A point X such that it is equidistant from P and Q.
(c) A point M such that QMS 90°. M is on the same side of QS as R.
(d) A region inside the parallelogram in which a variable Y lies such that PY RY and QYS >90°. Shade the region represented by Y.
Date posted: September 19, 2019. Answers (1)
- The figure below is a cuboid ABCDFFGH such that AB 8cm, BC = 6cm and CF 4cm.
Determine:
a) the length
(i) AC
(ii) AF
b) The angle AF makes...(Solved)
The figure below is a cuboid ABCDFFGH such that AB 8cm, BC = 6cm and CF 4cm.
Determine:
a) the length
(i) AC
(ii) AF
b) The angle AF makes with plane ABCD.
c) The angle plane AEFB makes with the plane ABCD
d) Find the angle between line EG and line DC
Date posted: September 19, 2019. Answers (1)
- The table below shows the income tax rates for the year 2006.
In the year 2006, Ali’s monthly earnings were as follows:
Basic Salary KShs 22,600;House Allowance...(Solved)
The table below shows the income tax rates for the year 2006.
In the year 2006, Ali’s monthly earnings were as follows:
Basic Salary KShs 22,600;House Allowance Kshs 12,000;
Medical Allowance Kshs 2,880;Transport Allowance KShs 340
Ali was entitled to a monthly personal relief of Sh 1162 and an insurance relief of Sh 450.
Every month the following deductions were made:
NHIF KShs 320; Insurance Premium Shs 3000;Sacco Loan repayment Shs 6000
Sacco Share contribution Shs 1500; Workers Union dues Shs 200
Calculate:
a) Ali’s taxable income in K£ p.a.
b) Ali’s monthly tax paid in Kshs
c) Ali’s monthly net income from his employment in KShs
d) If Ali received a 10% increase in his basic salary, calculate the corresponding percentage
increase on the income tax.
Date posted: September 19, 2019. Answers (1)
- In the figure below, PAQ is a tangent to the circle at point A.
Find angle DAB and angle BAQ. giving reasons for your answer.(Solved)
In the figure below, PAQ is a tangent to the circle at point A.
Find angle DAB and angle BAQ. giving reasons for your answer.
Date posted: September 18, 2019. Answers (1)
- A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of...(Solved)
A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of cement sh 50,000 and 8 tonnes of ballast Sh 4000, find the cost of 7tonnes of the mixture.
Date posted: September 18, 2019. Answers (1)