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The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.
Date posted:
September 19, 2019
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Simplify 
Date posted:
September 19, 2019
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Make A the subject of the formula given that 
Date posted:
September 19, 2019
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Given that 1.5 ≤ x ≤ 3.8 and 2.4 ≤ y ≤ 5, determine the smallest and the greatest value of x – y and hence the range of x – y.
Date posted:
September 19, 2019
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A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is 10m/s2
Determine
a)An expression for its velocity t seconds later
b)An expression for its height above the ground t seconds later
c)The maximum height reached by the ball
Date posted:
September 19, 2019
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a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120o AB = 6.4cm and AC = 7.0cm
Measure
i) angle ABC
ii) BC
b) Construct the circumscribed circle of triangle ABC with O as its centre. Describe the circumscribed circle as a locus
Date posted:
September 19, 2019
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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
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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
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Simplify completely
Date posted:
September 19, 2019
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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
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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
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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
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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
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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
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Solve for x
Date posted:
September 19, 2019
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Use binomial expansion to expand 
up to the 4th term
Date posted:
September 19, 2019
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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
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Evaluate;
Date posted:
September 19, 2019
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Make t the subject of formula.
Date posted:
September 19, 2019
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Using logarithms evaluate;
Date posted:
September 19, 2019
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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 the two segments of the curve y = x3 -3x cut off by the x-axis
Date posted:
September 19, 2019
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(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
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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
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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
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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
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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
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Solve the equation 
Date posted:
September 18, 2019
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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
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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
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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