# Free Online CBEST Math Questions and Answers

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#### Which specific piece of knowledge is required to resolve the aforementioned issue?

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We may estimate that there are 56 multiple-choice questions because there are 75 total questions on the exam, 19 of which require a short response.
Let a be the typical amount of time spent on each multiple-choice question.
Let b be the typical amount of time spent on each short-answer question.
Given that the exam is scheduled to last 90 minutes in total:
a(56) + b(19) = 90
We can solve for a, the time needed to complete each multiple-choice question, using the above equation if we are given b, the time needed to complete each short-answer question.

#### How many green or brown crayons out of all the crayons are in Box B?

Correct! Wrong!

The total number of crayons that are green or brown is 12 + 9 + 2 + 8 + 3 + 6 = 40. In Box B, the number of crayons that are green or brown is 9 + 3 = 12. Thus, percent of green or brown crayons in Box B is:
1240∗100%=30%

#### A company kept track of how many people came into the store each week. What percentage of days saw more visitors than the week as a whole on average?

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We must establish the weekly average for visits in order to respond to the question:
13+12+16+19+25+33+227
=1407=20
How many days had a visitor count of over 20?
Fri = 25
Sat = 33
Sun = 22
The average of 20 visitors was exceeded by 3 days.

#### The BEST estimate for 3995 102 is which of the following?

Correct! Wrong!

The numbers 3995 and 102 are rather close to 4000 and 100, respectively. It is then possible to write the estimated product as (4000)(100) = 400,000. (Note that there are 407,490 of the actual item.)

#### The total of seven numbers is more than 140 but not more than 210. Which of the following could represent the numbers' average (arithmetic mean)?

Correct! Wrong!

The formula for the average of a set of numbers is the sum of the numbers divided by the number of terms:
Avg = 140 ÷ 7
Avg = 20
Avg = 210 ÷ 7
Avg = 30
Therefore, the sum must be between 20 and 30.

#### Jason takes two tablets from kind A, three from type B, and one from type C of medication each day. If he forgets to take the type B tablets on each of two days, how many pills will he take in total in 14 days?

Correct! Wrong!

Jason needs to take a total of six tablets daily. He will take the following if he takes all of his meds for 14 days:
(14)(6) = 84 pills
This total will drop by (3)(2) = 6 pills if he forgets to take the three type B pills twice. He will take: if he neglects to take his type B medications.

14 days, 84 - 6 = 78 tablets

#### Which of the following statements can be true if Heidi is working in the paint department today and is not donning her black boots?

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Heidi won't be wearing her brown boots today because she is working in the paint department.
We are informed, however, that she is not donning her black boots.
She must not be wearing boots because she only has one pair of black boots and one pair of brown footwear.
She always wears boots when snow is predicted, thus if she is not wearing them, snow was not predicted for today.

#### The distance between Town X and Town Y is depicted on a map as 18 inches. On this map, a quarter of an inch corresponds to 10 miles. How many miles does it actually take to go along this road from Town X to Town Y?

Correct! Wrong!

Here, a ratio is provided: 14 inches on the map equals 10 miles, making 1 inch on the map equal to 40 miles. The real distance must be: 18 40 = 720 miles if the map distance between the towns is 18 inches.

#### 70% of the spelling bee questions were successfully answered by Kyle. How many of the 220 questions did he get wrong, assuming there were 220 in total?

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He must have made a 30% error if he received 70% of the answers correctly. We can use 30 percent of 220 to:
30100∗220=66

#### The window in Jane's bedroom is 2 yards and six inches wide and 1.5 yards high. What is the window's size in inches in her bedroom?

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The number of yards must be multiplied by 36 (there are 36 inches in a yard) to convert to inches. 2 yards and 6 inches are equal to:
(2)(36) + 6 = 78
In terms of the second dimension:
(1.5)(36) = 54

#### A flight took off from Denver at a height of 6,135,000 feet and landed at a height of 2,851,000 feet. Which of the following is the most accurate measurement of the flight's distance?

Correct! Wrong!

It makes appropriate to round to the nearest 100,000 feet based on the answer options:
6,135,000 = 6,100,000
2,851,000 = 2,900,000
Our combined estimates are as follows:
6,100,000 + 2,900,000 = 9,000,000 feet

#### From a bag containing 4 red marbles, 7 blue marbles, 9 yellow marbles, and 6 green marbles, Isabelle selects and keeps one marble at random. The stone is then randomly selected by Ami from the same bag. What is the likelihood that Ami's marble will likewise be green if Isabelle's stone is green?

Correct! Wrong!

Here, a ratio is provided: 14 inch on the map equals 10 miles, making 1 inch on the map equal to 40 miles. The real distance must be: 18 40 = 720 miles if the map-distance between the towns is 18 inches.

#### Find the value of x: 3(x + 1) = 5(x − 2) + 7

Correct! Wrong!

Start by dividing the 3 and 5 into their corresponding parenthesis, then group like terms on each side of the equal sign:
3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3
To maintain equality, add 3 to both sides:
3x + 6 = 5x
To find x, subtract 3x from both sides, divide the resulting equation by 2, and then solve as follows:
6 = 2x
3 = x
Just keep in mind that whenever a variable is solved for in an equation, the calculated value may be confirmed by substituting it into the original equation and evaluating if it produces a valid statement.

#### Carla purchases nine pens at \$1.10 each. Which of the following sums up the change she would get if she used a \$20 bill to buy the pens?

Correct! Wrong!

The nine pens cost (9)(\$1.10) each. Carla used a \$20 cash to make her purchase, thus the difference between \$20 and the price of the nine pens will be included in her change. Her change is therefore \$20 - (9)(\$1.10).

#### What is the largest of these decimals?

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Find the biggest digit in the tenths place to determine which of these four values is the greatest (the first place to the right of the decimal).

#### Which of the following conclusions may be reached with certainty in light of the evidence presented below:

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is undoubtedly conceivable