8th Pre-Algebra Math Mock Test (Target atleast 80% or 40/50)

Three spinners are divided equally as shown. The arrow of each spinner is spun once. Which of the following has the greatest probability?

• P(a number less than 4, a vowel, and a heart)

• P(an odd number, a vowel, and a smiley face)

• P(an even number, the letter R, and a music note)

• P(a number greater than 4, a consonant, and a heart)

Tylik has a set of cards that are the same size and shape. Which point on the number line correctly shows the value of the probability that Tylik will randomly select a green card, NOT replace it, then randomly select a blue card?

• F

• G

• H

• J

Tags

CCSS.7.SP.C.5

Marianne has some colored marbles that are the same size and shape. The probability of randomly selecting a purple marble is 50%. The probability of randomly selecting a green marble is 20%. What is the probability Marianne will randomly select a marble that is NOT green, replace it, and then randomly select a marble that is purple?

• 40%

• 25%

• 16%

• 10%

A bag contains 5 yellow marbles, 2 blue marbles, and 3 red marbles. If Tara reaches into the bag without looking and grabs a marble, what is the probability that it is blue?

• 1/5

• 1/4

• 3/8

• 1/2

Tags

CCSS.7.SP.C.7B

To find the probability of one event occurring use what we want / total possible. When asked to find the probability of two or more events (compound events), find the probability of each, and multiply the fractions. Remember, multiply fractions by going straight across! To turn a fraction into a decimal, divide the top from bottom, then multiply by 100. If you see “without replacement” or “do not replace” that means that the denominator of the second fraction will decrease by 1 since this is a dependent event. If you see “with replacement” or “is put back” then the denominator will stay the same since this is an independent event. 1. Greta has 2 bags of tiles that are all the same size and shape. ● Bag A has 1 blue tile and 3 green tiles ● Bag B has 2 yellow tiles and 4 black tiles Which of these best describes dependent events?

• A. Randomly selecting one tile from Bag A, replacing the tile, then randomly selecting another tile from Bag A

• B. Randomly selecting one tile from Bag B, not replacing the tile, then randomly selecting another tile from Bag B.

• C. Randomly selecting one tile from Bag A, replacing the tile, then randomly selecting one tile from Bag B.

• D. Randomly selecting one tile from Bag B, not replacing the tile, then randomly selecting one tile from Bag A.

Tags

CCSS.HSS.CP.A.5

A spinner has four equal section labeled W, X, Y, and Z. A fair coin has faces labeled heads and tails. Edward will spin the arrow of the spinner and flip the coin one time each. What is the probability the arrow will land on the section labeled Z and the coin will land with heads face up?

• 1/8

• 1/4

• 1/2

• 1/16

Stella has some colored cards that are the same size and shape. The probability of randomly selecting a blue card is 20%. The probability of randomly selecting a red card is 30%. What is the probability Stella will randomly select a card that is NOT blue, replace it, then randomly select a card that is red?

• 6%

• 14%

• 24%

• 50%

A bag contains 5 red balls and 3 yellow balls of the same shape and size. Carla will randomly select a ball from the bag 3 times. She will replace the ball each time. What is the probability Carla will select a yellow ball on her first two selections and a red ball on her third selection?

• 75/512

• 5/56

• 45/512

• 1/45

What is the probability that Lawrence will randomly select an orange tile, not replace it, then randomly select a blue tile? Select a point on the number line that represents this probability.

• 6/95 (The correct point is slightly above 0 on the number line, between 0 and 1/2)

• 1/2 (The point is at the midpoint of the number line)

• 1/16 (The point is very close to 0 on the number line)

• 3/5 (The point is more than halfway on the number line)

Tags

CCSS.7.SP.C.5

The arrow of each spinner will be spun one time. What is the probability the arrow in Spinner A will land on a section labeled with the number 1 and then arrow in Spinner B will land a letter G?

• A 5/8

• B 5/16

• C 1/8

• D 1/16