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Find the range values that satisfy the inequality
Date posted:
September 4, 2019
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A contractor was to finish a piece of work in 80 days. He employed 150 workers to work for 6 hours a day. After 30 days he found out that only a quarter of the work had been done. How many more workers did he require to finish the work in time
Date posted:
September 4, 2019
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Without using a calculator or mathematical tables find the value of
Date posted:
September 4, 2019
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The resistance to the motion of a car is partly constant and partly varies as the square of the speed. At
40km/h-1 the resistance and at 60kmh-1 it is 730N. What will be the resistance at 70kmh-1?
Date posted:
September 4, 2019
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Solve for x and y in the simultaneous equations given below
21x-12y=-29
12x+5y=19
Date posted:
September 4, 2019
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In the figure below PS=PR PS=13cm, RS=10cm and angle QSR=30o. Find the length of QS
Date posted:
September 4, 2019
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Factorise 90x2-40y2
Date posted:
September 4, 2019
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A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. If 5x+7y-k=0 passes through the point (4,3). Determine the values of A and K
Date posted:
September 4, 2019
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The radius of a cone is given as 4.2cm while its height is given as 9.7cm. Find the percentage error in
the estimation of the volume of the cone
Date posted:
September 4, 2019
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Two circles of radii 3.5cm and 4.2cm with centres O1 and O2 respectively intersect at points A and B as shown in the figure below. The distance of the centres is 6cm.
Calculate
(a) angle AO1B to the nearest degree
(b) angle AO2B to the nearest degree
(c) Area of the quadrilateral O1AO2B, correct to 2 decimal places.
(d) The shaded area correct to two significant figures.(Take π =22/7)
Date posted:
September 3, 2019
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(a) On a squared paper draw the graph of y=(1-2x)(x+4) for the range -62=0
Date posted:
September 3, 2019
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The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.
Date posted:
September 3, 2019
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(a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm3, find the radius of the hemisphere.
(b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.
(c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.
(d) If the solid is of mass 14.4g. Find its density in kg/m3.
Date posted:
September 3, 2019
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Five towns A,B,C,D and E are such that B is on a bearing of 040o and 6km from E. D is due west of E on a bearing of 340o from E. A is due North of E on a bearing of 045o from D. C is on a bearing of 250o from B and due North of E.
(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.
Date posted:
September 3, 2019
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The sides of a rectangle are increased by 10%. By what percentage is the area increased
Date posted:
September 3, 2019
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Solve the following equation for x without using tables or calculators.
Date posted:
September 3, 2019
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Each interior angle of n-sided polygon is 350o.
(a) Find n.
(b) What is the name of the polygon?
Date posted:
September 3, 2019
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A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
sold the mixture at Ksh.18 per litre, what was the percentage profit.
Date posted:
September 3, 2019
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The figure below shows the graph of velocity Vm/s against time t seconds of a car. If the car traveled a
distance of 32 metres, in the first four seconds, calculate the average velocity for the whole journey.
Date posted:
September 3, 2019
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Find the integral values of x which satisfy the simultaneous inequalities.
3x-2<10+x <10+x
Date posted:
September 3, 2019
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A sector of a circle of radius 10cm has an arc that subtends an angle of 270o at the centre.
Calculate the vertical height of the cone formed by the sector.
Date posted:
September 3, 2019
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In the figure below MPN is a tangent to the circle at P. Find angle SPQ and angle NPQ, stating your reasons. Angle SRQ=120o and angle PQR=62o
Date posted:
September 3, 2019
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The line passing through the points P(5, b), Q(2,3) is parallel to the line 2y=-x+2. Determine the value
of b.
Date posted:
September 3, 2019
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Simplify the expression
Date posted:
September 3, 2019
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Without using mathematical table of calculator, evaluate:
Date posted:
September 3, 2019
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Find the integral values that satisfy the inequalities
Date posted:
September 3, 2019
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Kamau bought five exercise books and three geometrical sets for sh.725. If he had bought four similar exercise books and five geometrical sets, he would have paid sh.375 more. How much would he pay for two exercise books and six geometrical sets.
Date posted:
September 3, 2019
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Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.
Date posted:
September 3, 2019
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Simplify
Date posted:
September 3, 2019
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Evaluate
Date posted:
September 3, 2019