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- 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) Three butchers bought all the goats and shared them equally. If each butcher got 17 goats, how many did Odupoy sell to the butchers.
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.
Date posted: March 25, 2019
- Simplify the following expression
Simplify the expression x-1x-2x+13x hence solve x-1x-2x+13x= 23
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 number of pencils he bought.
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 same children’s home. Their total donation for January was ksh. 14 820. In February, mambo donated 18th of his salary to the children’s home while Simba donated 112th of his salary to the children's home. Their total donation for February was Ksh. 8 675. Calculate Mambo’s monthly salary.
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 mass of sugar in bag A. Calculate the original mass of sugar in each bag.
Date posted: March 25, 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 day.
Date posted: March 25, 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 for every 3
What percentage profit did he make?
A.30%
B.70%
C.75%
D.85%
Date 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
Date 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
Date 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 2,500 each. What was her total earnings for that month?
A.sh 9,950
B.sh 8,250
C.sh 9,250
D.sh 9,000
Date posted: April 6, 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 13 into sh 5 coins. How many coins did he get altogether?
A.290
B.580
C.1 305
D.870
Date posted: April 6, 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
Date 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
Date 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. 212
B. 2
C. 3
D. 72331
Date 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
Date posted: April 7, 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
Date posted: April 7, 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 has a hole at the bottom through which water leaks at the rate of 11.6cm³ per second,determine the time at which the tank will be filled.
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 total profit realized was sh 15,000?
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 total profit for the year 1989 was sh.86,400 calculate;
i)The amount received by each partner.
ii)The amount retained for running the business.
Date posted: April 9, 2019