The California Basic Educational Skills Test (CBEST) is a standardized test administered in the state of California.

CBEST Mathematics test contains 50 multiple-choice questions which require candidates to solve problems from three major areas: Estimation, Measurement, and Statistical Principles; Computation and Problem Solving; and Numerical and Graphic Relationships.

CBEST Mathematics Practice Test

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25 Questions

1. If 5x is the average of two numbers and one of the numbers is 3, what is the other number?

5x10x10x – 710x – 310x + 7

2. Pedro is taking a math quiz. One of the problems on his quiz requires him to add the fractions , , and . Which of the following methods should Pedro use to answer this question most efficiently?

Use a common denominator of 90.Use a common denominator of 15.Use the “invert and multiply” technique.Multiply the denominators.Use a common denominator of 30.

3. An art class has 30 students. Each student needs a piece of ribbon 2 feet, 6 inches in length. What is the total length of ribbon needed?

75 feet78 feet78 feet, 6 inches240 feet780 feet, 6 inches

4. Ms. Acosta can grade three tests in 9 minutes. At this rate, how long will it take her to grade 30 tests?

2 hours, 30 minutes1 hour, 27 minutes1 hour, 30 minutes27 minutes54 minutes

5. This question refers to the following table.

Monday	Tuesday	Wednesday	Thursday	Friday
10°	13°	–5°	–12°	22°

Students at Oak Park High School recorded outdoor temperatures at 2:00 p.m. for five afternoons. What is the difference between the week’s highest and lowest temperatures?

–7°–17°34°–34°17°

6. The La Jolla track team ran the following distances in April: miles, miles, 6 miles, and miles. What was the average distance the team ran in miles?

2256

7. Gabrielle is making a salad from the following ingredients: three different varieties of lettuce, three different varieties of tomatoes, and four different varieties of beans. If Gabrielle wants to use only one type of lettuce, one type of tomato, and one type of bean, how many different combinations of salads can she possibly make?

15633610

8. A square 4 inches on a side is cut up into smaller squares 1 inch on a side. What is the maximum number of squares that can be formed?

64836164

9. What number could be added to the following set of data so that the median and mode of the set are equal?
23, 14, 16, 19, 21

1419241821

10. There are 36 students in a geometry class. If of the students are boys and of the boys are under 6 feet tall, how many boys in the class are under 6 feet tall?

241227186

11. Refer to the following graph.

Which single piece of information is necessary to determine in which county the sightings increased by approximately 25%?

Find the county in which the number of sightings indicated by the “A” bar is 250 more than those indicated by the “B” bar.Find the county in which the “B” bar is taller than the “A” bar.Find the county that had 25 more sightings after the conservation measures.Find the county in which the number of sightings indicated by the “A” bar is more than those indicated by the “B” bar.Find the county that had 250 more sightings after the conservation measures.

12. Assume that inflation will increase the prices of everything at a rate of 5% a year over the next 10 years. In 3 years, what will be the price of headphones that now cost $100? Round your answer to the nearest hundredth.

$105$150$115.52$115$115.76

13. Refer to the following graph.

Based on the seven days shown, approximately what percent of the days did the maximum temperature exceed the average temperature?

3%43%57%4%93%

14. Refer to the following graph.

According to the graph, which county had the most bear sightings before the conservation measures?

35124

15. An investor bought 200 shares of Stock A at a price of $16.50 per share and 500 shares of Stock B at a price of $19.50 per share. Later that month, the investor sold the 200 shares of Stock A and the 500 shares of Stock B, all at a price of $20 per share. The profit from Stock B represents what percent of the combined profits from the sales of Stock A and Stock B?

28%21%26%36%25%

16. Which of the following numbers is the value of 342,499 rounded to the nearest thousand?

342,400343,000342,000343,400342,500

17. A container weighs 220 pounds. Which of the following is the best approximation of its weight in kilograms? (Note: 1 kilogram weighs approximately 2.2 pounds.)

10011048422048.4

18. Which of the following steps is the best method to convert the fraction into percent form?

Divide b into a, move the decimal point two places to the left, and add a percent sign.Divide a into b, move the decimal point two places to the right, and add a percent sign.Multiply the fraction by 100%.Solve the proportion and add a percent sign to the value of x.Divide a into b, move the decimal point two places to the left, and add a percent sign.

19. A flat-screen television is marked down 20% to $320. Which of the following equations could be used to determine its original price, P?

0.20P = $3200.80P = $3200.80P + 0.20P = $320P = $320 + 20320 – 0.20 = P

20. At Franklin High School, one out of four seniors takes physics. If there are 1,260 seniors, how many do not take physics?

945315420630126

21. What percent of 60 is 15?

4%40%25%15%60%

22. Amir was given the expression 9x² + 3y – 5 to evaluate. Although he was given the values of –3 for x and –2 for y, he was unsure of his method for evaluating. If Amir evaluated the expression correctly, what value should he have?

827080–65–92

23. Wei-Jen can run 8 miles in one day while training for a long distance race. This year, the average number of days Wei-Jen ran each month was 20 days. Which of the following questions can be answered on the basis of these facts?

What is the maximum number of miles Wei-Jen could have run this year?What is the minimum number of days Wei-Jen ran each month?What is the average number of miles Wei-Jen ran last year?How many miles can Wei-Jen run in 3 hours?How many miles did Wei-Jen run in the first 2 weeks?

24. If 3 divided by a number y is 18, then what is the value of the number y plus 2?

25. This question refers to the following table.
Annual Teacher Salaries

Tier 1	$45,256
Tier 2	$57,254
Tier 3	$72,978

Hazel estimated the sum of these tiered salaries by first rounding each to the nearest thousand. Ivan estimated the sum of these salaries by first rounding each to the nearest ten. By how much do these estimates differ?

$530$490$3,490$600$110