Tree Diagrams & Counting Principle Quiz

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If a spinner has 4 sections with 3, 2, 4, and 1 outcome(s) respectively, what is the total number of outcomes?

11

A coin is flipped and a die is rolled. What is the probability that the coin lands on heads and the die shows an even number?

1/4

A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability that it is not blue?

7/10

A deck of cards has 52 cards, including 13 spades, 13 hearts, and 13 diamonds. What is the probability that a randomly drawn card is a spade or a heart?

26/52 Signup and view all the answers

In a survey, 30 people chose coffee, 20 people chose tea, and 10 people chose neither. What is the probability that a randomly selected person chose tea or coffee?

50/60 Signup and view all the answers

A box contains 5 shirts, 3 pairs of pants, and 2 hats. If one of each is chosen at random, how many outcomes are possible?

30 Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2πr Signup and view all the answers

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its surface area?

94 cm² Signup and view all the answers

If a month is chosen at random from a year, what is the theoretical probability of choosing February or July?

2/12 or 1/6 Signup and view all the answers

A blacksmith needs to create a handmade basketball hoop with a circumference of 36 inches. What is the radius of the hoop?

r = 36 / (2π) = 5.73 inches Signup and view all the answers

A rectangular prism has a volume of 120 cubic cm. If its length and width are 4 cm and 3 cm, respectively, what is its height?

10 cm Signup and view all the answers

If a month is chosen at random 300 times, how many times would you expect a month that ends with -ber to be chosen?

25 Signup and view all the answers

Solve the inequality 6𝑦 − 10 ≥ 8 and graph your solution on the number line.

Add 10 to both sides: 6𝑦 ≥ 18. Then divide both sides by 6: 𝑦 ≥ 3. The solution is all real numbers greater than or equal to 3. Signup and view all the answers

Wesley worked for 32 hours last week and earned a total of $409.60. How much does he make per hour?

To find the unit rate, divide the total amount earned ($409.60) by the number of hours worked (32). This gives $12.80 per hour. Signup and view all the answers

Determine which option is the better deal: 6 granola bars for $6.48 or 5 granola bars for $5.50.

Find the unit price for each option. For Option A, it is $6.48 ÷ 6 = $1.08 per granola bar. For Option B, it is $5.50 ÷ 5 = $1.10 per granola bar. Option A is the better deal. Signup and view all the answers

The park and the movie theatre are 3.45 inches apart on a map. If the map has a scale of 0.25 inches = 5 miles, find the actual distance between the park and movie theatre.

First, divide the scale by 0.25: 0.25 = 5, so 1 inch = 5/0.25 = 20 miles. Now, multiply the distance on the map (3.45 inches) by the scale: 3.45 × 20 = 69 miles. Signup and view all the answers

Find 4% of 725.

To find the percentage, multiply 725 by 0.04: 725 × 0.04 = 29. Signup and view all the answers

Tree Diagrams & Counting Principle Quiz

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