Page 9 - Mathematics_Form_Two

Rates and variations

7. A garden hose fills a 20 litre bucket in
12 4 minutes. What is the rate of flow in
×
Time = 12 = 12 12 = 12 hours litres per minute?
5 12 5 5
12 8. A car travels 400 km using 25 litres of

12 hours = 2 and hours fuel. What is the car’s fuel efficiency
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in kilometres per litre?
5 5
2 2 9. Mr. Magoda’s salary increased from
But of an hour = × 60 minutes Tsh 800,000 to Tsh 1,000,000 in a
5 5 year. What is the rate of change of his
= 24 minutes Mathematics for Secondary Schools
salary?
Therefore, it will take 2 hours and 24 10. The temperature in Mrs. Kidunula’s
minutes to fill the tank when pipes A room increased from 15°C at 8 am to
and B are opened at the same time.
25°C at 2 pm. What was the average
rate of temperature change per hour?
Exercise 1�1
11. A car accelerates from 0 to 60 km/h in
1. What rate in metres per second is 10 seconds. What is the rate of change
equivalent to a speed of 45 kilometres of its speed in km/h per second?
per hour?
2. A car covers a distance of 200 12. Mr. Kilenzi’s heartbeat increased
from 60 beats per minute to 120 beats
kilometres in 60 minutes. What is the
speed of the car in metres per second? per minute during exercise over 3
minutes. What was the average rate
3. A water tap takes 10 minutes to fill a of change in his heartbeats?
500 litres tank. Find the rate of flow of
water in litres per second. 13. A family uses 80 GB of internet data
in 30 days. What is the average daily
4. If premium petrol costs Tsh 2,500 per rate of data usage in GB per day?
litre, how many litres can be purchased
for Tshs 10,000? 14. Pipe X can fill a tank in 8 hours, while
Pipe Y can fill it in 5 hours. How long
5. Find the rate in kilometres per hour if a
1 will it take to fill the tank if both pipes
racing car travels 115 kilometres in are opened simultaneously?
35 minutes. 2
15. Pump A can fill a pool in 5 hours,
6. Mwajuma walks 6 kilometres in 1 hour Pump B in 4 hours, and Pump C in 10
and John walks the same distance in 2 hours. How long will it take to fill the
hours. What are their walking speeds? pool if all three pumps are operated at
Who walks faster, and by how much? the same time?

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Student's Book Form Two

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MATHEMATIC F2 v5.indd 3