Topic 3 Rates

Question 1

What is the formula to calculate speed?

Answer 1

Speed = Distance / Time

Question 2

True or False: A rate is a ratio that compares two quantities of different units.

Answer 2

True

Question 3

Fill in the blank: The rate of 60 miles per hour means ___ miles are traveled in one hour.

Answer 3

60

Question 4

If a car travels 150 kilometers in 2 hours, what is its average speed?

Answer 4

75 kilometers per hour

Question 5

What is the unit of measurement for rate in the context of speed?

Answer 5

Units per time (e.g., miles per hour, kilometers per hour)

Question 6

True or False: Rates can only be expressed as fractions.

Answer 6

False

Question 7

What is the rate if 300 liters of water is used in 3 hours?

Answer 7

100 liters per hour

Question 8

Multiple Choice: Which of the following is a correct rate? A) 50 apples B) 30 miles per hour C) 5 kg

Answer 8

B) 30 miles per hour

Question 9

How would you express a rate of 5 meters per second in terms of kilometers per hour?

Answer 9

18 kilometers per hour

Question 10

Fill in the blank: If a bike travels 120 kilometers in 4 hours, its speed is ___ kilometers per hour.

Answer 10

30

Question 11

What is a unit rate?

Answer 11

A rate in which the second quantity is 1.

Question 12

True or False: A unit rate can help in comparing different rates.

Answer 12

True

Question 13

Calculate the unit rate: If 4 gallons of paint cover 320 square feet, what is the coverage per gallon?

Answer 13

80 square feet per gallon

Question 14

What is the average speed of a runner who completes a 10 km race in 50 minutes?

Answer 14

12 kilometers per hour

Question 15

Multiple Choice: Which of the following represents a rate? A) 10 km B) 10 km/h C) 10 hours

Answer 15

B) 10 km/h

Question 16

Fill in the blank: A car travels at a rate of 90 kilometers per hour for 3 hours. It will travel ___ kilometers.

Answer 16

270

Question 17

What is the conversion factor from miles per hour to meters per second?

Answer 17

1 mile per hour is approximately 0.44704 meters per second.

Question 18

True or False: Rates can only be used in transportation contexts.

Answer 18

False

Question 19

How do you calculate the total distance traveled if you know the speed and time?

Answer 19

Distance = Speed × Time

Question 20

What is the rate of a machine that produces 200 items in 4 hours?

Answer 20

50 items per hour

Question 21

Fill in the blank: If you earn $15 per hour, your earnings for 8 hours of work would be ___ dollars.

Answer 21

120

Question 22

Multiple Choice: If a train travels 300 miles in 5 hours, what is its speed? A) 50 mph B) 60 mph C) 70 mph

Answer 22

B) 60 mph

Question 23

What is the rate of interest if you earn $50 on a $1000 investment in one year?

Answer 23

5% per annum

Question 24

True or False: A rate can be expressed as a percentage.

Answer 24

True

Question 25

Calculate the rate: If 150 pages are printed in 3 hours, what is the printing rate?

Answer 25

50 pages per hour

Question 26

What is the formula for calculating the number of items produced per hour?

Answer 26

Items per hour = Total items / Total hours

Question 27

Fill in the blank: If a worker earns $300 for 10 hours of work, their hourly rate is ___ dollars.

Answer 27

30

Question 28

Multiple Choice: Which of the following is not a rate? A) Speed B) Price per item C) Total cost

Answer 28

C) Total cost

Question 29

What is the average speed of a cyclist who travels 45 kilometers in 1.5 hours?

Answer 29

30 kilometers per hour

Question 30

True or False: Rates can only be used for linear relationships.

Answer 30

False

Question 31

If a factory produces 600 units in 8 hours, what is the production rate?

Answer 31

75 units per hour