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Topic 3 Rates Flashcards

(31 cards)

1
Q

What is the formula to calculate speed?

A

Speed = Distance / Time

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2
Q

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

A

True

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3
Q

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

A

60

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4
Q

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

A

75 kilometers per hour

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5
Q

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

A

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

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6
Q

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

A

False

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7
Q

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

A

100 liters per hour

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8
Q

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

A

B) 30 miles per hour

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9
Q

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

A

18 kilometers per hour

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10
Q

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

A

30

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11
Q

What is a unit rate?

A

A rate in which the second quantity is 1.

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12
Q

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

A

True

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13
Q

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

A

80 square feet per gallon

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14
Q

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

A

12 kilometers per hour

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15
Q

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

A

B) 10 km/h

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16
Q

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

17
Q

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

A

1 mile per hour is approximately 0.44704 meters per second.

18
Q

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

19
Q

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

A

Distance = Speed × Time

20
Q

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

A

50 items per hour

21
Q

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

22
Q

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

23
Q

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

24
Q

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

25
Calculate the rate: If 150 pages are printed in 3 hours, what is the printing rate?
50 pages per hour
26
What is the formula for calculating the number of items produced per hour?
Items per hour = Total items / Total hours
27
Fill in the blank: If a worker earns $300 for 10 hours of work, their hourly rate is ___ dollars.
30
28
Multiple Choice: Which of the following is not a rate? A) Speed B) Price per item C) Total cost
C) Total cost
29
What is the average speed of a cyclist who travels 45 kilometers in 1.5 hours?
30 kilometers per hour
30
True or False: Rates can only be used for linear relationships.
False
31
If a factory produces 600 units in 8 hours, what is the production rate?
75 units per hour