# High quality video lessons and tutorials

**413 Video Lessons**

- 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate 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 PercentagesDate posted: April 9, 2019.

- The heights of two boys are in the ratio 2:3. If the height of the shorter boy is 108 cm, what is the difference in the heights of the two boys?
The heights of two boys are in the ratio 2:3. If the height of the shorter boy is 108 cm, what is the difference in the heights of the two boys?

**A.54 cm B.64 cm C.162 cm D.270 cm**

KCPE, Mathematics: Ratio and proportionsDate posted: April 7, 2019.

- In Sagalo’s farm there are 5 more pigs than cows. There are 4 times as many goats as cows.
In Sagalo’s farm there are 5 more pigs than cows. There are 4 times as many goats as cows . If there are p pigs, which one of the following expressions represents the total number of animals in Sagalo’s farm?

**A.6p + 25 B.6P – 25 C.6p – 15 D.6p – 10**

KCPE, Mathematics: AlgebraDate posted: April 7, 2019.

- A man deposited sh 24 000 in a bank which paid simple interest at the rate of 15% per annum. After some time he withdrew all his money.
A man deposited sh 24 000 in a bank which paid simple interest at the rate of 15% per annum. After some time he withdrew all his money . If he withdrew sh 33 000, for how many years had he deposited his money?

**A. 21**

KCPE, Mathematics: Measurement-moneyDate posted: April 7, 2019.

- A lorry was travelling at a speed of 54 km/h. What was its speed in meters per second?
A lorry was travelling at a speed of 54 km/h. What was its speed in meters per second?

**A.18 B.15 C.12 D.20**

KCPE, Mathematics: Measurements- time,speed and temperatureDate posted: April 7, 2019.

- Wambui and Kaluta shared some money in the ratio 5:8. Wambui got sh 120 less than Kaluta . How much money did Kaluta get?
Wambui and Kaluta shared some money in the ratio 5:8. Wambui got sh 120 less than Kaluta . How much money did Kaluta get?

**A.sh 200 B.sh 520 C.sh 192 D.sh 320**

KCPE, Mathematics: Ratio and proportionsDate posted: April 7, 2019.

- A business man had money in notes as follows:
2 notes of sh 1 000
3 notes of sh 500
12 notes of sh 200
16 notes of sh 100
24 notes of sh 50
A business man had money in notes as follows: 2 notes of sh 1 000 3 notes of sh 500 12 notes of sh 200 16 notes of sh 100 24 notes of sh 50 He exchanged 23 of the money into 20 coins and the other...

KCPE, Mathematics: Measurement-moneyDate posted: April 6, 2019.

- Mwara is paid a basic salary of sh 7,500 per month. She is also paid a commission of 312%
Mwara is paid a basic salary of sh 7,500 per month. She is also paid a commission of 312% on all the sales above sh 20,000. In one month she sold 20 radios at sh 1,500 each and 16 flat iron boxes at sh...

KCPE, Mathematics: Measurement-moneyDate posted: April 6, 2019.

- Salt is packed in 250g packets. How many tonnes would 10 000 such packets have?
Salt is packed in 250g packets. How many tonnes would 10 000 such packets have? A.250 B.2.5 C.25 D.2,500

KCPE, Mathematics: Volume,capacity and massDate posted: April 6, 2019.

- A square plot of land of side 80 m is represented on a scale drawing by a square whose perimeter is 16cm. What is the scale used?
A square plot of land of side 80 m is represented on a scale drawing by a square whose perimeter is 16cm. What is the scale used? A.1: 20000 B.1: 4000 C.1: 200 D.1: 2000

KCPE, Mathematics: Ratio and proportionsDate posted: April 6, 2019.

- Ombete bought 48 mangoes, 38 pawpaws and 56 bananas for sh 300. He also spent sh 100 to transport them to the market.
Ombete bought 48 mangoes, 38 pawpaws and 56 bananas for sh 300. He also spent sh 100 to transport them to the market. On the way to the market 3 mangoes, 2 pawpaws and 5 bananas were damaged. He sold the remaining fruits as follows: Mangoes : sh 5 for every 3 Pawpaws : sh 10 each Bananas : sh 5...

KCPE, Mathematics: Measurement-moneyDate posted: April 6, 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 EquationsDate 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 EquationsDate 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 EquationsDate 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 EquationsDate posted: March 25, 2019.

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