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A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted glasses can be made from a container with 3 litres undiluted juice
Date posted:
March 27, 2019
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The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost of each item.
Date posted:
March 27, 2019
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The second,fourth and seventh terms of an arithmetic progression (A.P) are the first three consecutive terms of a geometric progression (G.P).If the common difference of A.P is 2,find:
(a)The common ratio of the G.P.
(b)The last term of the A.P given that there are eighteen terms.
(c)The sum of the first 14 terms of the G.P.
Date posted:
February 28, 2019
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Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold. If 30% more sh. 50 tickets and 40% fewer sh.100 tickets had been sold, the income would have increased to Kenya pounds 112,500.How many tickets of each category were sold?
Date posted:
February 28, 2019
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Two towns P and Q are 580km/hr apart.A bus left town P at 6.10a.m. and maintains an average speed of 90km/hr between P and Q. A car starts from Q at 8.00a.m. and travelled towards P at an average speed of 120km/hr.The car stopped for a total of 30 minutes on the way before meeting the bus.
(a)(i)How far from town P did they meet?
(ii)At what time did they meet?
(b)A rally driver starts from town Q towards town P at 9.30a.m.If he averages 180km/hr,calculate;
(i)The distance from Q when the rally driver overtook the car.
(ii)The time when the rally driver overtook the car.
Date posted:
February 25, 2019
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The cash price of a bed is shs.6500.A man buys it on hire purchase by making a down payment of shs. 2300 followed by 12 months installments of shs.490.Calculate the rate of carrying charge per month.
Date posted:
February 25, 2019
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Janet and Martha both drive a distance of 96km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer to complete the journey. Calculate Janet's average speed.
Date posted:
February 25, 2019
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A two digit number is four times the sum of its digits.If the digits are interchanged the number formed is more than the original number by twenty seven.Find the number.
Date posted:
February 20, 2019
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The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively.
If they all start the race at same time, find the number of times the lowest runner will have been over lapped by the fastest at the time all cross the starting point together again.
Date posted:
February 2, 2019
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Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0
Date posted:
February 2, 2019
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Explain the difference between cardinal numbers and ordinal numbers.
Date posted:
December 8, 2018
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What is the area of a square whose diagonal is 10 cm?
Date posted:
November 23, 2018
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If £100 is invested at compound interest of 8% per annum,determine
(a). The value after 10 years
(b). The time correct to the nearest year it takes to reach more than £300.
Date posted:
October 21, 2018
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Given the coordinates of A and B as (4,2) and (8,2) respectively, find the equation of the perpendicular bisector of AB.
Date posted:
August 30, 2018
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Sixteen men working at a rate of nine hours a day can complete a piece of work in 14 days. How many more men working at a rate of 7 hours a day would complete the same job in 12 days?
Date posted:
August 29, 2018
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A manufacturer makes two products, product Q and product M. The cost of making 15 units of product Q and 10 units of product M is sh 600. The cost of making 5 units of product Q and 8 units
of product M is sh 340. Determine the cost of making each product.
Date posted:
August 8, 2018
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A carpenter wishes to make a ladder with 15 cross pieces. The cross pieces are diminished uniformly in lengths from 67cm at the bottom to 32 at the to. Calculate the length in cm of the seventh cross piece
Date posted:
July 11, 2018
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The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4. Calculate the sum of interior angles of the polygons with n sides.
Date posted:
April 25, 2018
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Two similar cans have different heights 8cm and the other one 10cm.If the surface area of the larger can is 480cm2,find the surface area of the smaller can.
Date posted:
April 17, 2018
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Use tables to find the cube of each of the following:
(a) 1.8 (b) 2.12 (c) 3.254 (d) 0.76
Date posted:
April 13, 2018
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The sum of two numbers x and y is 40. Write down an expression in terms of x for the sum of the squares of the two numbers.
Date posted:
April 11, 2018
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The volumes of 2 similar solid cones are 1080 cubic centimeters and 1715 cubic centimeters. If the curved surface area of the smaller cone is 840 square centimeters, find the curved surface area of the larger cone.
Date posted:
April 9, 2018
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A square room is covered by a number of whole rectangular slabs of side 60 by 42 cm. Calculate the least possible area.
Date posted:
April 3, 2018
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The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x-20)°. Find the number of sides of the polygon
Date posted:
March 17, 2018
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Solving for x using the rules of indices
Date posted:
March 16, 2018
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A quantity P is partly constant and partly varies as the square of Q. When Q=2,P=40 and when Q=3, P=65. Determine the value of P when Q=4.
Date posted:
March 4, 2018
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The bus fare per passenger (f) is partly constant and partly varies inversely proportional to the number (n) of passengers. The fare per passenger for 40 passengers is k240 and for 50 passengers is k200. calculate the fare per passenger when they are 100 passengers.
Date posted:
January 29, 2018
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Five men each working 10 hours a day take two days to cultivate one acre of land.How long will two men each working six hours a day take to cultivate three acres of land
Date posted:
December 28, 2017
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Find the sin, cos, and tan of 120°.
Date posted:
December 20, 2017
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A solution whose volume is 80litres is made up of 40% of water and 60% of alcohol. When x litres of water are added, the percentage of alcohol drops to 40%.
a)find the value of x
b)30litres of water is added to the new solution. Calculate the percentage of alcohol in the new solution
c)If 5litres of solution in (b) above is added to 2litres of the original solution ,calculate, in the simplest form, the ratio of water to that of alcohol in the resulting solution
Date posted:
December 13, 2017