17 Questions
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
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
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
What is the formula for the circumference of a circle?
C = 2πr
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
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
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
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
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
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.
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.
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.
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.
Find 4% of 725.
To find the percentage, multiply 725 by 0.04: 725 × 0.04 = 29.
Test your understanding of tree diagrams and the counting principle with this quiz. Solve problems involving spinners, sample spaces, and the fundamental counting principle. Practice your math skills with these challenging questions.
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