Free CBEST Mathematics Questions and Answers

Question 1

The findings of a poll of 150 students are displayed in the circle graph. How many pupils choose basketball as their preferred sport?

Accepted Answer

12

Answer

To determine the number of pupils who chose basketball, you need to find the percentage or fraction allocated to basketball on the circle graph. Once that value is identified, multiply it by the total number of students polled, which is 150. For example, if basketball represents 8% of the students, then 0.08 multiplied by 150 equals 12 students.

Question 2

On the xy-plane, the graph of the function f is displayed. Which two values of x cause f(x) to equal 3?

Accepted Answer

7 and 9

Answer

To find the x-values where f(x) equals 3, you need to locate the horizontal line y=3 on the graph. Then, identify all the points where the graph of the function intersects this line. The x-coordinates of these intersection points are the values for which f(x) = 3. Based on the correct answer, the graph must intersect the line y=3 at x=7 and x=9.

Question 3

In his backyard, Peter created a ring-shaped garden. The garden has a 20-foot diameter. His favorite vegetable, tomatoes, occupied one-third of the garden. He built a 12-inch-high picket fence around the entire garden. Which of the following queries COULD NOT be resolved using the given data?

Accepted Answer

What is the volume of the dirt in the garden?

Answer

To calculate the volume of dirt in the garden, you would need its area (which can be determined from the 20-foot diameter) and its depth. The problem provides the garden's diameter and the height of the surrounding fence, but it does not specify the depth of the dirt. Without this crucial piece of information, the volume of the dirt cannot be resolved.

Question 4

The population of the United States as of 1970 is depicted on the graph.
What would be a reasonable estimate of the population of the United States in 2010 assuming the population trend continued in the same manner?

Accepted Answer

290 million people

Answer

To estimate the population in 2010, one must observe the trend of population growth from 1970 onwards as depicted on the graph. By identifying the rate of increase over the decades (e.g., 1970, 1980, 1990, 2000) and extrapolating that trend, extending the line to the year 2010 would lead to a reasonable estimate. Based on typical US population growth trends, 290 million people would be a plausible projection for 2010.

Question 5

To answer the issue below, use mental calculations.
Peter has $35.25 in savings. He wants to put money aside to get a $85.00 bicycle. How much extra must he save to buy his bike, with tax included, if sales tax is 8%?

Accepted Answer

$60

Answer

First, calculate the total cost of the bicycle including sales tax: $85.00 * 0.08 (tax rate) = $6.80 in tax. The total price is $85.00 + $6.80 = $91.80. Next, subtract Peter's current savings from the total cost: $91.80 - $35.25 = $56.55. Among the given options, $60 is the closest whole number estimate to the exact amount Peter needs to save.

CBEST - California Basic Educational Skills Test Practice Test

CBEST - California Basic Educational Skills Test Practice Test

Free CBEST Mathematics Questions and Answers