Ratios and Rates Flashcards
Ratios and Rates (MAT4-RAT-C-01)
What is a ratio?
A comparison of 2 or more quantities measured in the same units.
How can one part of a ratio be expressed?
As a fraction of the whole.
What method can be used to solve real-life problems involving ratios?
The unitary method.
What is important when working with rates in real-life applications?
Converting between units
What do distance–time graphs consist of?
Straight-line segments with a negative, zero, or positive slope.
In a time-distance graph what would the straight segments represent?
Breaks/rests or moments where there is no movement.
Fill in the blank: The ratio of 16 to 80 can be simplified and written as ____.
1:5
What is the formula for calculating a unit rate?
Unit rate = quantity of one item / quantity of another item
If a car travels 300 miles in 5 hours, what is the rate of speed in miles per hour?
60 miles per hour
Multiple choice: What is the equivalent ratio of 3:6? A) 1:2 B) 2:3 C) 3:4
A) 1:2
What is the relationship between ratios and fractions?
Ratios can be expressed as fractions.
If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?
6 cups of sugar
True or False: A ratio of 5:10 is equivalent to a ratio of 1:2.
True
What is the cross-multiplication method used for in ratios?
It is used to determine if two ratios are equivalent.
True or False: A rate is a specific kind of ratio that compares two different units.
True
Fill in the blank: The ratio of boys to girls in a classroom is 3:5. If there are 15 boys, there are _____ girls.
25 girls
If the ratio of cats to dogs is 4:1 and there are 12 cats, how many dogs are there?
3 dogs
Multiple Choice: Which of the following represents a rate? A) 5 apples, B) 60 miles per hour, C) 3:4
B) 60 miles per hour
If a mixture contains a ratio of 3 parts A to 12 parts B, how much of part B is needed for 2 parts of A?
8 parts of B
Convert 1 km/h to m/s
1 (kilometer/hour) = 1000/3600 (meters/seconds)
Alex can run 24 miles in 3 hours. What is his average speed in miles per hour?
8mph
You buy 5 pounds for $35. How much does one pound cost?
$7
Figure out the best buy:
A: 1 apple for $0.19
B: 3 apples for $0.57
Hahahhaha trick question
.57/3 = 19
therefore, apples from both shops cost the same
Write the ratio “21 wins to 9 losses” as a fraction in simplest form.
Simplest Fraction form:
21/9 = 7/3
A school has 41 basketball players, 23 soccer players, 31 netballers, 29 swimmers, 61 Rugby
players, 17 tennis players, 12 lawn bowlers, and 8 who do not play sport. Find:
The ratio of tennis players to netballers to those who do not play sport
17:31:8
