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- Three business partners Abila,Bwire and Chirchir contributed Ksh 120,000, Ksh 180,000 and Ksh 240,000 respectively, to boast their business.
Three business partners Abila, Bwire and Chirchir contributed ksh 120,000,ksh 180,000 and ksh 240,000 respectively,to boast their business.They agreed to put 20% of the profit accrued back into the business and to use 35% of the profit for running the business(official operations).The remainder was...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 10, 2019.
- Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.
Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.The partners set aside 14 of the land for social amenities and sub-divided the rest into 15m by 25m plots.
a)Find
i)the amount contributed by Karuri.
ii)the number of...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 10, 2019.
- A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.
A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.
a)Calculate the total mass lost after the maize was dried.
b)A trader bought and repacked the dried maize in 90kg bags.He transported the maize in a lorry which could carry a...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 10, 2019.
- Two alloys,A and B,are each made up of copper,zinc znd tin.In alloy A,the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.
Two alloys,A and B,are each made up of copper,zinc znd tin.In alloy A,the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.
a)Determine the ratio, copper:zinc:tin in alloy A.
b)The mass of alloy A is 250kg.Alloy B has the same mass as alloy A but the amount of copper is 30% less...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 10, 2019.
- Five people can build 3 huts in 21 days.Find the number of people,working at the same rate that will build 6 similar huts in 15days.
Five people can build 3 huts in 21 days.Find the number of people,working at the same rate that will build 6 similar huts in 15days.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- A farmer feeds every two cows on 480 Kg of hay for four days.The farmer has 20,160Kg of hay which is just enough to feed his cows for 6 weeks.Find the number of cows in the farm.
A farmer feeds every two cows on 480 Kg of hay for four days.The farmer has 20,160Kg of hay which is just enough to feed his cows for 6 weeks.Find the number of cows in the farm.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Atieno and Kamau started a business by contributing sh.25,000 and sh.20,000 respectively. At the end of the year,they realized a profit of sh.81,000.
Atieno and Kamau started a business by contributing sh.25,000 and sh.20,000 respectively.At the end of the year,they realized a profit of sh.81,000.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- A group of 5 people can do a piece of work in 6 hours.Calculate the time a group of 8 people,working at half the rate of the first group would take to complete the same work.
A group of 5 people can do a piece of work in 6 hours.Calculate the time a group of 8 people,working at half the rate of the first group would take to complete the same work.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Three business partners Atieno, Wambui and Mueni contributed Sh. 50,000, Sh. 40,000 and Sh. 25,000 respectively to start a business
Three business partners Atieno, Wambui and Mueni contributed Sh. 50,000, Sh. 40,000 and Sh. 25,000 respectively to start a business. After some time they realized a profit which they decided to share in the ratio of their contributions. If Mueni’s share was sh.10,000,by how much was Atieno’s share...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Akinyi,Bundi,Cura and Diba invested some money in a business in the ratio of 7:9:10:14 respectively.
Akinyi,Bundi,Cura and Diba invested some money in a business in the ratio of 7:9:10:14 respectively.The business realized a profit of sh.46,800.They shared 12% of the profit equally and the remainder in the ratio of their contributions.Calculate the total amount received by Diba?.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- A pool of water with surface area of 0.6 ha has a uniform depth of 3m.A pipe drains the pool at the rate of 200 litres per second.
A pool of water with surface area of 0.6 ha has a uniform depth of 3m.A pipe drains the pool at the rate of 200litres per second .How many hours does it take to empty the pool?.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Kamau,Chelule and Wekesa are three casuals in a juakali enterprise.Chelule earns twice as much as Kamau and Wekesa earns sh.70 more than Chelule.
Kamau,Chelule and Wekesa are three casuals in a juakali enterprise.Chelule earns twice as much as Kamau and Wekesa earns sh.70 more than Chelule.If their total earnings are sh.1,120,express the ratio of their earnings Kamau:Chelule:Wekesa in its simplest form.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- It takes 30 workers 6 days working at the rate of 8 hours a day to harvest maize in a farm. How many days would 50 workers working 6 hours a day take to harvest the maize?.
It takes 30 workers 6 days working at the rate of 8 hours a day to harvest maize in a farm. How many days would 50 workers working 6 hours a day take to harvest the maize?.
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Two business partiners Nzau and Masese contributed sh.112,000 and sh.128,000 respectively,to start a business.They agreed to share their profits as follows;
Two business partiners Nzau and Masese contributed sh.112,000 and sh.128,000 respectively,to start a business.They agreed to share their profits as follows;
30% to be shared equally
30% to be shared in the ratio of their contributions.
40% to be retained for the running of the business.
If their...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Three jua kali artisans Nyundo,Karai and Moto,invested sh1,200,sh1,800 and sh3,000 respectively in their business.
Three jua kali artisans Nyundo,Karai and Moto,invested sh1,200,sh1,800 and sh3,000 respectively in their business.They agreed that 34% of the the profits would be divided equally among them and the rest in the ratio of their investments.How much did Nyundo receive at the end of one year when the...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- Water flows through a circular pipe of cross-section area of 6.16cm² at a uniform speed of 10cm per second.At 6 a.m,water starts flowing through the pipe into an empty rectangular tank of base area 3m².
Water flows through a circular pipe of cross-section area of 6.16cm² at a uniform speed of 10cm per second.At 6 a.m,water starts flowing through the pipe into an empty rectangular tank of base area 3m².
a)What is the depth of the water in the tank at 8.30a.m?
b)If the tank is 1.2metres high and...
Form 1, Mathematics: Rates, Ratios, Proportions and Percentages
Date posted: April 9, 2019.
- A construction company employs technicians and artisans. On a certain day 3 technicians and 2 artisans were hired and paid a total of ksh 9000. On another day the firm hired 4 technicians and 1 artisan and paid a total of ksh. 9500.
A construction company employs technicians and artisans. On a certain day 3 technicians and 2 artisans were hired and paid a total of ksh 9000. On another day the firm hired 4 technicians and 1 artisan and paid a total of ksh. 9500. Calculate the cost of hiring 2 technicians and 5 artisans in a...
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Bukra had two bags A and B, containing sugar. If he removed 4kg of sugar from bag A and added it to bag B, the mass of sugar in bag B would be four times the mass of sugar in bag A.
Bukra had two bags A and B, containing sugar. If he removed 4kg of sugar from bag A and added it to bag B, the mass of sugar in bag B would be four times the mass of sugar in bag A. If he added 10kg of sugar to the original amount of sugar in each bag, the mass of sugar in bag B would be twice the...
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- In January, Mambo donated 16th of his salary to a children’s home while Simba donated
In January, Mambo donated 16th of his salary to a children’s home while Simba donated 15th of his salary to the...
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Karani bought 4 pencils and 6 biro pens for sh. 66 and Tachora bought 2 pencils and 5 biro pens for sh. 51
Karani bought 4 pencils and 6 biro pens for sh. 66 and Tachora bought 2 pencils and 5 biro pens for sh. 51
a) Find the price of each item.
b) Musoma spent sh. 228 to buy the same type of pencils and biro pens. If the number of biro pens he bought were 4 more than the number of pencils, find the...
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Simplify the following expression
Simplify the expression x-1x-2x+13x hence solve x-1
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Mary has 21 coins whose total value is sh.72. there are twice as many five shilling coins as there are ten shilling coins. The rest are one shilling coins. Find the number of ten shilling coins that Mary has.
Mary has 21 coins whose total value is sh.72. there are twice as many five shilling coins as there are ten shilling coins. The rest are one shilling coins. Find the number of ten shilling coins that Mary has.
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Four farmers took their goats to the market. Mohamed had two more goats than Ali. Koech had 3 times as many goats as Mohamed, whereas Odupoy had 10 goats less than both Mohamed and Koech.
Four farmers took their goats to the market. Mohamed had two more goats than Ali. Koech had 3 times as many goats as Mohamed, whereas Odupoy had 10 goats less than both Mohamed and Koech.
(i) Write a simplified algebraic expression with one variable, representing the total number of goats.
(ii)...
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- A fruiterer bought 144 pineapples at sh. 100 for every six pineapples. She sold some of them at sh.72 for every three and the rest at sh.60 for every two.
A fruiterer bought 144 pineapples at sh. 100 for every six pineapples. She sold some of them at sh.72 for every three and the rest at sh.60 for every two. If she made a 65% profit, calculate the number of pineapples sold at sh. 72 for every three.
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- A shopkeeper sells two types of pangas, type x and type y. Twelve type x pangas and 5 type y pangas cost sh 1,260, while nine type x pangas and fifteen type y pangas cost sh 1,620.
A shopkeeper sells two types of pangas, type x and type y. Twelve type x pangas and 5 type y pangas cost sh 1,260, while nine type x pangas and fifteen type y pangas cost sh 1,620. Mugala bought eighteen type y pangas. How much did he pay for them?
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Given that x = -2, find the values of y and z for the simultaneous equations.
x + y - z=-1
x - 2y + z=-7
Given that x = -2, find the values of y and z for the simultaneous equations.
x + y - z=-1
x - 2y + z=-7
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Two pairs of trousers and three shirts cost a total of 390. Five such pairs of trousers and two shirts cost a total of sh. 810. Find the price of a pair of trousers and a shirt.
Two pairs of trousers and three shirts cost a total of 390. Five such pairs of trousers and two shirts cost a total of sh. 810. Find the price of a pair of trousers and a shirt.
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- The total weekly wages for 12 artisans and 4 apprentices are sh 5,600. If the number of artisans is increased to 15 and that of the apprentices to 9, the total weekly wages are sh. 7,800. Calculate the weekly wage for an artisan.
The total weekly wages for 12 artisans and 4 apprentices are sh 5,600. If the number of artisans is increased to 15 and that of the apprentices to 9, the total weekly wages are sh. 7,800. Calculate the weekly wage for an artisan.
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Three artisans and two craftsmen earn sh. 220 in a day while four artisans and one craftsman earn sh. 185. Find the amount of money a craftsman earns in a day.
Three artisans and two craftsmen earn sh. 220 in a day while four artisans and one craftsman earn sh. 185. Find the amount of money a craftsman earns in a day.
Form 1, Mathematics: Linear Equations
Date posted: March 25, 2019.
- Evaluate vv
Evaluate vv, correct to four decimal places, hence write the answer in...
Form 1, Mathematics: Evaluation of Numerical Expressions
Date posted: March 25, 2019.