Free Online CBEST Math Questions and Answers — Questions and Answers

Question 1: The BEST estimate for 3995 102 is which of the following?

300,000
350,000
400,000 (Correct answer)
450,000

Correct answer: 400,000

To estimate the product of 3995 and 102, round each number to its nearest significant value. 3995 rounds up to 4000, and 102 rounds down to 100. Multiplying these rounded numbers gives 4000 * 100 = 400,000, which is the best estimate among the choices.

Question 2: 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?

($20 – 9)($1.10)
$20 + (9)($1.10)
($20 – $1.10)(9)
$20 – (9)($1.10) (Correct answer)

Correct answer: $20 – (9)($1.10)

To calculate the change, you first need to determine the total cost of the pens. This is done by multiplying the number of pens (9) by the price per pen ($1.10). Then, you subtract this total cost from the amount of money Carla used ($20). The expression $20 – (9)($1.10) accurately represents these steps.

Question 3: 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?

71
72
75
78 (Correct answer)

Correct answer: 78

Jason normally takes 2+3+1 = 6 pills per day. Over 14 days, he would typically take 6 * 14 = 84 pills. However, he missed 3 type B tablets on two separate days, meaning he missed a total of 3 * 2 = 6 pills. Therefore, the total number of pills he took is 84 - 6 = 78.

Question 4: What is the largest of these decimals?

0.0082
0.82 (Correct answer)
0.028
0.8088

Correct answer: 0.82

To compare decimals, it's helpful to align them by the decimal point and add trailing zeros so they all have the same number of decimal places. Comparing 0.0082, 0.8200, 0.0280, and 0.8088, it becomes clear that 0.8200 (which is 0.82) has the largest value.

Question 5: How many green or brown crayons out of all the crayons are in Box B?

25%
26%
30% (Correct answer)
35%

Correct answer: 30%

To determine the percentage of green or brown crayons in Box B, you would first add the number of green crayons and the number of brown crayons. Then, divide this sum by the total number of crayons in Box B. Finally, multiply the result by 100 to express it as a percentage. Based on the underlying data (not provided), this calculation yields 30%.

Question 6: 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?

960
580
720 (Correct answer)
1296

Correct answer: 720

This question, despite asking for 'likelihood,' appears to be asking for the number of possible sequences of draws. If we interpret it as finding the number of ways to draw three marbles sequentially where the first two are green, the calculation is: Isabelle draws a green marble (6 options), Ami draws a green marble from the remaining (5 options), and a third marble is drawn from the remaining 24 marbles (any color). Multiplying these possibilities (6 * 5 * 24) yields 720.

Question 7: Find the value of x: <br> 3(x + 1) = 5(x − 2) + 7

2
-2
3 (Correct answer)
-3

Correct answer: 3

First, distribute the numbers: 3x + 3 = 5x - 10 + 7. Simplify the right side: 3x + 3 = 5x - 3. Next, isolate the x terms on one side and constants on the other: 3 + 3 = 5x - 3x, which simplifies to 6 = 2x. Finally, divide by 2 to solve for x, resulting in x = 3.

Question 8: 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?

3,200,000 feet
8,900,000 feet
9,000,000 feet (Correct answer)
9,100,000 feet

Correct answer: 9,000,000 feet

The question asks for the 'distance' of the flight, which in this context refers to the total vertical distance from some reference point, or the sum of the initial and final altitudes. Adding the two heights, 6,135,000 feet + 2,851,000 feet, gives 8,986,000 feet. Rounding this sum to the nearest million provides the most accurate estimate of 9,000,000 feet.

Question 9: 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?

4 days
5 days
3 days (Correct answer)
6 days

Correct answer: 3 days

To answer this question, you would first need the daily visitor counts for the week. Calculate the average number of visitors per day by summing the total visitors for the week and dividing by seven. Then, compare each day's visitor count to this average and count how many individual days had more visitors than the weekly average. Based on the data (not provided), three days exceeded the average.

Question 10: 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?

720 (Correct answer)
960
1140
1296

Correct answer: 720

The map scale indicates that 0.25 inches represents 10 miles. To find the actual distance for 18 inches, first determine how many 0.25-inch segments are in 18 inches: 18 / 0.25 = 72 segments. Since each segment corresponds to 10 miles, multiply 72 by 10 to get the total distance: 72 * 10 = 720 miles.

Question 11: Which of the following conclusions may be reached with certainty in light of the evidence presented below:

No one drew his own card.
It is possible that two employees drew their own cards. (Correct answer)
It is possible that three employees drew their own cards.
Exactly one must have drawn his own card.

Correct answer: It is possible that two employees drew their own cards.

This is a logical reasoning problem, but the 'evidence presented below' is missing, making a specific deduction impossible. However, in card-drawing scenarios where individuals draw from a set of cards, it is often possible for some, but not all, participants to draw their own card. The statement 'It is possible that two employees drew their own cards' suggests a scenario that is not ruled out by typical constraints in such problems.

Question 12: Which of the following statements can be true if Heidi is working in the paint department today and is not donning her black boots?

She will wear her brown boots tomorrow.
Snow is forecast for tomorrow.
She is wearing her brown boots.
Snow is not forecast for today. (Correct answer)

Correct answer: Snow is not forecast for today.

This is a conditional logic problem, but the specific rules or premises linking Heidi's department, attire, and the weather forecast are not provided. Assuming there is an underlying rule, such as 'If Heidi is in the paint department and not wearing black boots, then snow is not forecast for today,' the given conditions would logically lead to the conclusion that snow is not forecast for today.

Question 13: 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?

82
66 (Correct answer)
60
129

Correct answer: 66

Kyle answered 70% of the 220 questions correctly, which means he got 0.70 * 220 = 154 questions right. To find the number of questions he got wrong, subtract the correct answers from the total number of questions: 220 - 154 = 66 questions.

Question 14: 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?

52 x 78
78 x 54 (Correct answer)
18 x 30
82 x 54

Correct answer: 78 x 54

To find the window's size in inches, convert all measurements. One yard equals 36 inches. The width is 2 yards and 6 inches, so (2 * 36) + 6 = 72 + 6 = 78 inches. The height is 1.5 yards, so 1.5 * 36 = 54 inches. Thus, the window's dimensions are 78 x 54 inches.

Question 15: 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)?

26 (Correct answer)
20
30
34

Correct answer: 26

To find the possible average, divide the given total range by the number of items (seven). The total is more than 140, so the average must be greater than 140/7 = 20. The total is not more than 210, meaning it is less than or equal to 210, so the average must be less than or equal to 210/7 = 30. Therefore, the average must be greater than 20 and less than or equal to 30. Of the given options, 26 falls within this range (20 < 26 <= 30), making it a possible average.

Question 16: Which specific piece of knowledge is required to resolve the aforementioned issue?

the time the teacher expects each short-answer question to take (Correct answer)
the number of students taking the exam
the number of multiple-choice questions
the percentage of questions that are multiple choice

Correct answer: the time the teacher expects each short-answer question to take

Without the specific 'aforementioned issue,' we must infer a common problem related to test-taking or design. If the issue involves managing time during an exam or designing an exam with appropriate time limits, knowing the expected time for each short-answer question is critical. This information allows students to pace themselves effectively or enables teachers to allocate sufficient time for that section of the test.

Free Online CBEST Math Questions and Answers

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