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- (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)
- Solve the equation(Solved)
Solve the equation 
Date posted: September 18, 2019. Answers (1)
- The price of a new car is Shs. 800,000. If it depreciates at a constant rate to Shs 550,000within 4 years, find the annual rate...(Solved)
The price of a new car is Shs. 800,000. If it depreciates at a constant rate to Shs 550,000 within 4 years, find the annual rate of depreciation.
Date posted: September 18, 2019. Answers (1)
- The graph below is part of a straight line obtained from the initial equation y = axn.
Use the graph to calculate the values of a...(Solved)
The graph below is part of a straight line obtained from the initial equation y = axn.
Use the graph to calculate the values of a and n
Date posted: September 18, 2019. Answers (1)
- A quantity y varies partly as the square of x, and partly as x. When y = 20 x = 2 and when y...(Solved)
A quantity y varies partly as the square of x, and partly as x. When y = 20 x = 2 and when y =36, x = 3.
Find the equation showing the relationship between x and y.
Date posted: September 18, 2019. Answers (1)
- In the figure below, PS = PQ, PQ = 10cm, / PSQ=5O°, QR = 12cm and / SQR = 62°.
Find SR(Solved)
In the figure below, PS = PQ, PQ = 10cm, / PSQ=5O°, QR = 12cm and / SQR = 62°.
Find SR
Date posted: September 18, 2019. Answers (1)
- Find the longest side of the right-angled triangle whose other sides are; ( v2 + l)cm and(v2 - l)cm long, leaving your answer in surd...(Solved)
Find the longest side of the right-angled triangle whose other sides are; ( v2 + l)cm and (v2 - l)cm long, leaving your answer in surd form
Date posted: September 18, 2019. Answers (1)
- Solve for x(Solved)
Solve for x 
Date posted: September 18, 2019. Answers (1)
- (a) Expand ( 1- ½ x)6
(b) Hence use the above expansion to the fourth term to find the value of (0.98)6(Solved)
(a) Expand ( 1- ½ x)6
(b) Hence use the above expansion to the fourth term to find the value of (0.98)6
Date posted: September 18, 2019. Answers (1)
- Two circles of radii 3cm and 8cm have their centres 13cm apart. Calculate the length ofthe direct common tangent. (Solved)
Two circles of radii 3cm and 8cm have their centres 13cm apart. Calculate the length of the direct common tangent.
Date posted: September 18, 2019. Answers (1)
- Calculate the shortest distance in nautical miles between M(45°N, 38°E) andN(45°N, I 42°W) (Solved)
Calculate the shortest distance in nautical miles between M(45°N, 38°E) and N(45°N,42°W)
Date posted: September 18, 2019. Answers (1)
- Make x the subject in the formula:(Solved)
Make x the subject in the formula:
Date posted: September 18, 2019. Answers (1)
- A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started...(Solved)
A man deposits his money in a savings bank on a monthly basis. Each deposits exceeds the previous one by Shs 500. If he started by depositing Shs 1500, how much will he have deposited in 12 months?
Date posted: September 18, 2019. Answers (1)
- The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is adisplacement from...(Solved)
The velocity of a particle moving in a straight line is given by the equation ds/dt = -4t + 2 where s is a displacement from the origin in meters and t is time of motion.
a) Find when the particle is instantaneously at rest.
b) Given that S = 2 when t = o find a in terms of t
c) Find acceleration of the particle
d) At what instant shall displacement of the particle be O?
Date posted: September 18, 2019. Answers (1)
- Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided...(Solved)
Triangle OPQ is such that OP = p and OQ = q point R divides OP in the ratio 1:3 and a point S
divided PQ in the ratio 5:2 OS and RQ meet at T.
a) Express OS and QR in term of p an q.
b) Given that OT = KOS. Express OT in terms of K, p and q
c) (i) Given also that RT = h RQ, express OT interms of h , p and q
(ii) find the value of h and k
d) State the ratio in which Q divided RT.
Date posted: September 18, 2019. Answers (1)