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Questions and Answers
Write the ratio 8 to 40 in simplest form.
Write the ratio 8 to 40 in simplest form.
1 to 5
Write the ratio 6:15 in simplest form.
Write the ratio 6:15 in simplest form.
2:5
Write the ratio $20\over12$ in simplest form.
Write the ratio $20\over12$ in simplest form.
$5\over3$
You have an after-school job that pays $9 per hour. How much do you earn in cents per minute?
You have an after-school job that pays $9 per hour. How much do you earn in cents per minute?
Write the equivalent rate. $\frac{14 mi}{1 h} = \frac{? km}{1 h}$
Write the equivalent rate. $\frac{14 mi}{1 h} = \frac{? km}{1 h}$
Write the equivalent rate. $\frac{5 in}{1 sec} = \frac{? cm}{1 sec}$
Write the equivalent rate. $\frac{5 in}{1 sec} = \frac{? cm}{1 sec}$
Solve the proportion: $\frac{a}{6} = \frac{35}{42}$
Solve the proportion: $\frac{a}{6} = \frac{35}{42}$
Solve the proportion: $\frac{8}{9} = \frac{96}{m}$
Solve the proportion: $\frac{8}{9} = \frac{96}{m}$
Solve the proportion: $\frac{0.4}{14} = \frac{2.8}{q}$
Solve the proportion: $\frac{0.4}{14} = \frac{2.8}{q}$
The ratios $\frac{16}{20}$ and $\frac{40}{48}$ form a proportion.
The ratios $\frac{16}{20}$ and $\frac{40}{48}$ form a proportion.
The outline of the frame of a house is a rectangle that is 45 feet long and 24 feet high. The garage is attached to the house and the outline of its frame is 30 feet long and 16 feet high. Is the garage similar to the house?
The outline of the frame of a house is a rectangle that is 45 feet long and 24 feet high. The garage is attached to the house and the outline of its frame is 30 feet long and 16 feet high. Is the garage similar to the house?
A mailbox that is 36 inches tall is beside a tree. The length of the mailbox's shadow is 28 inches. The length of the tree's shadow s 98 inches. How tall is the tree in feet?
A mailbox that is 36 inches tall is beside a tree. The length of the mailbox's shadow is 28 inches. The length of the tree's shadow s 98 inches. How tall is the tree in feet?
A map has a scale of 1 inch : 15 miles. Use the given map distance to find the actual distance: 5 inches
A map has a scale of 1 inch : 15 miles. Use the given map distance to find the actual distance: 5 inches
Write the scale 1 in.: 6 yd without units.
Write the scale 1 in.: 6 yd without units.
Write the scale 1 cm: 4 km without units.
Write the scale 1 cm: 4 km without units.
A spinner is divided into equal parts. What is the probability that the spinner stops on an odd number?
A spinner is divided into equal parts. What is the probability that the spinner stops on an odd number?
What are the odds against stopping on a number greater than 20?
What are the odds against stopping on a number greater than 20?
If you spin the spinner 60 times, how many times do you expect it to stop on 0?
If you spin the spinner 60 times, how many times do you expect it to stop on 0?
Yesterday during baseball practice, you had 20 hits out of 50 attempts at bat. Today during practice, you will have 30 attempts at bat. Use experimental probability to predict how many hits you will have today out of the 30 attempts at bat.
Yesterday during baseball practice, you had 20 hits out of 50 attempts at bat. Today during practice, you will have 30 attempts at bat. Use experimental probability to predict how many hits you will have today out of the 30 attempts at bat.
Two players roll a number cube. Player 1 scores a point if the number cube shows a number greater than 3, and player 2 scores a point if the number on the cube is prime. Determine whether the game is fair.
Two players roll a number cube. Player 1 scores a point if the number cube shows a number greater than 3, and player 2 scores a point if the number on the cube is prime. Determine whether the game is fair.
You are ordering a cake for your friend. You must choose the flavor, icing color, and shape of the cake. Using the choices listed in the tables, how many different cakes can you order?
Flavor
Vanilla
Chocolate
Marble
Icing Color
White
Yellow
Pink
Blue
Green
Shape of Cake
Square
Round
You are ordering a cake for your friend. You must choose the flavor, icing color, and shape of the cake. Using the choices listed in the tables, how many different cakes can you order?
Flavor
Vanilla
Chocolate
Marble
Icing Color
White
Yellow
Pink
Blue
Green
Shape of Cake
Square
Round
Two number cubes are rolled. Determine the number of ways you could get a sum that is greater than 8.
Two number cubes are rolled. Determine the number of ways you could get a sum that is greater than 8.
Flashcards
Ratio
Ratio
A comparison of two quantities by division.
Simplest form of a ratio
Simplest form of a ratio
A ratio expressed in its simplest form, where the greatest common factor of the numerator and denominator is 1.
Proportion
Proportion
Two or more ratios that are equivalent.
Scale factor
Scale factor
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Experimental Probability
Experimental Probability
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Theoretical Probability
Theoretical Probability
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Probability
Probability
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Odds
Odds
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Similar figures
Similar figures
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Map scale
Map scale
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Shadow ratio
Shadow ratio
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Fundamental Counting Principle
Fundamental Counting Principle
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Probability of an event
Probability of an event
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Probability of an event NOT happening
Probability of an event NOT happening
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Odds of an event happening
Odds of an event happening
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Odds against an event happening
Odds against an event happening
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Shadow ratio
Shadow ratio
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Independent Events
Independent Events
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Dependent Events
Dependent Events
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Rate
Rate
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Number cube
Number cube
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Theoretical Probability
Theoretical Probability
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Expected Frequency
Expected Frequency
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Fundamental Counting Principle
Fundamental Counting Principle
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Spinner
Spinner
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Map Scale
Map Scale
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Direct Proportion
Direct Proportion
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Inverse Proportion
Inverse Proportion
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Probability of an event
Probability of an event
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Fundamental Counting Principle
Fundamental Counting Principle
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Study Notes
Chapter 6 Review - Short Answer
- Ratio Simplification: To simplify ratios, find the greatest common divisor (GCD) of the numbers in the ratio and divide both numbers by the GCD.
- Equivalent Rates: Determine the rate by converting units to a common denominator.
- Proportions: Determine if ratios form a proportion by using cross-multiplication. If both products are equal, the ratios form a proportion (e.g., a/b = c/d; ad = bc).
- Scale and Distance: Use the provided scale to find the actual distance (e.g., 1 inch : 15 miles; 5 inches = 75 miles).
- Geometric Similarity: Determine if shapes are similar by comparing their ratios.
- Probability of Spinner: Determine the probability of a spinner landing on a specific section, given that the spinner is divided into equal sections.
- Probability of Odd or Even Numbers on Spinner: Calculate the probability of the spinner landing on an odd or even number, contingent on the number of sections that are odd or even.
- Probability of Rolling Number Cubes: Calculate the combinations that produce a total greater than 8 when two number cubes are rolled.
- Odds Against (Event): Calculate the ratio of outcomes unfavorable to the outcomes favorable for a certain event.
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