7.6H/7.6I

A fair spinner is divided into sections of equal size. Each section contains the picture of a diamond, a star, or a triangle.

 

 

Which statement about the result of spinning the arrow is true?

• It is more likely to land on a diamond than on a star.

• It is equally likely to land on a triangle, a star, or a diamond.

• It is 4 times as likely to land on a diamond as it is to land on a star.

• It is less likely to land on a diamond than on a star.

Answer explanation

The correct choice is 'It is more likely to land on a diamond than on a star.' This is because the spinner is divided into equal sections, making each outcome equally likely, and there are more diamonds than stars.

The table shows the number of games in which a basketball team's total score was within each of five ranges of points.

 

Basketball Team Scores

19 games had a score between 96-105

21 games had a score between 105-115

17 games had a score between 116-125

10 games had a score between 126-135

3 games had a score between 136-145

 

Using the data in the table, complete the predictions about the number of point the team will score in its next game.

 

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.

Scoring 96–105 points in the next game is ​ (a)    scoring 136–145 in the next game.

Scoring 116–125 points in the next game is ​ (b)   scoring 106–115 points in the next game.

• more likely than
• less likely than
• equally likely as

A store manager surveyed a random sample of customers to determine their favorite type of nut. The results of the survey are shown below.

12 Cashews

24 Almonds

6 Pecans

8 Pistachios 

Based on the results in the table, which statement about the favorite type of nuts of a randomly selected customer is true?

• The customer is 1/4 as likely to prefer pecans as to prefer almonds.

• The customer is 4 times as likely to prefer cashews as to prefer pistachios.

• The customer is more likely to prefer cashews or pecans than to prefer almonds.

• The customer is less likely to prefer pecans or pistachios than to prefer cashews.

Answer explanation

The customer is 1/4 as likely to prefer pecans as to prefer almonds because the ratio of pecans to almonds is 6:24, which simplifies to 1:4.

A summer camp hosts 500 campers. A random survey of 50 campers was conducted to determine which activity was their favorite. The table shows the number of campers who chose each activity.

16 campers chose swimming

8 campers chose rock climbing

12 campers chose hiking

14 campers chose kayaking

• There are 22 more campers who prefer kayaking than prefer rock climbing.

• There are 8 more campers who prefer swimming than prefer rock climbing.

• There are 20 more campers who prefer hiking than prefer kayaking.

• There are 40 more campers who prefer swimming than prefer hiking.

The information below shows the numbers of bags of different flavors of potato chips on a store shelf. A customer will randomly select one bag of potato chips from the shelf.

Plain:12

Jalapeno:18

Ranch:8

Cheese:20

Which statement about the flavor of the potato chips chosen is best supported by the information in the table?

• The flavor is least likely to be plain.

• The flavor is twice as likely to be jalapeño as ranch

• The flavor is equally likely to be plain, jalapeño, ranch, or cheese.

• The flavor is more than twice as likely to be cheese as it is to be ranch.

What is the probability that someone plays basketball? Fraction

Mathematical Equivalence

ON

Match the following probabilities:

• Unlikely

• Certain

• Impossible

• Likely

• 0

• As Likely as Not

• 1

According to a food survey, 80% of kids like dogs over cats. If I asked 600 kids if they like dogs or cats, how many kids should say they like cats?

Mathematical Equivalence

ON

The table shows the numbers of different colors of pencils in a pencil case. A student will randomly select one pencil from the pencil case.

Based on the information in the table, which statement is true?

• The pencil is least likely to be blue.

• The pencil is 4 times as likely to be purple as it is to be red.

• The pencil is equally likely to be blue or green.

• The pencil is more likely to be purple than all other colors combined.

A survey of visitors at a national park was conducted to determine the preferred activity of each visitor to the park. Each visitor chose one activity. The survey results are shown in the table. Based on this information, which prediction about the preferred activity for the next 200 visitors to the park is the most reasonable?

• The number of visitors who prefer water sports will be 5 more than the number of visitors who prefer biking trails.

• The number of visitors who prefer hiking trails will be 8 more than the number of visitors who prefer water sports.

• The number of visitors who prefer camping will be 15 times the number of visitors who prefer hiking trails.

• The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.