CliffsNotes CBEST - BTPS TESTING Ph.D., Jerry Bobrow Ph.D. & 8 more 2021

Section II: Mathematics
Practice Test 3

50 Questions

80 Minutes

Directions: In the following questions, select the one best answer of the five choices given. Mark your answers on a sheet of paper.

1. If 10 kilometers equal 6.2 miles, then how many miles are in 45 kilometers?

A. 4.5

B. 7.25

C. 27.9

D. 29.7

E. 62

2. After selling their home, the Martinez family paid their agent $21,360 and were left with a profit of $334,460 from the sale. What was the sale price of their home? Disregard any other costs.

A. $313,280

B. $336,776

C. $355,820

D. $456,000

E. $545,000

Question 3 refers to the following table.

San Francisco, California Homes Sold in May

3. According to the table, how many more houses from 5 to 10 years old were sold than those from 4 to 8 years old?

A. 130

B. 150

C. 1,570

D. 2,455

E. The number cannot be determined from the information given.

4. How many pounds of nuts worth $2.10 per pound must be mixed with nuts worth $1.30 per pound to yield 8 pounds of nuts worth $1.80 per pound?

A. 3

B.

C.

D. 5

E.

Question 5 refers to the following table.

Invoice for Purchases

5. Scholastic Supplies, Inc. sends the invoice above to Burbank Junior High School. Although the total includes the cost of science lab workbooks, Scholastic Supplies forgot to list them on the invoice. How much did the science lab workbooks cost Burbank Junior High School?

A. $480

B. $500

C. $520

D. $560

E. $620

6. Given that the proportion is equal to , what is the value of q?

A. 3

B.

C.

D.

E. 18

Question 7 refers to the following table.

Irvine High School California State Test Scores 2016—2020

7. Based on the test scores in the table above, what is the mean (average) of the math test scores for the 5-year period 2016 through 2020?

A. 512

B. 514

C. 521

D. 527

E. 528

8. In the equation y = x² + 1, if x is 5, which of the following is the value of y?

A. 1

B. 5

C. 25

D. 26

E. 36

Question 9 refers to the following table.

9. Which of the following expresses the mean and the median for the values in the frequency table above?

A. Mean: 4, Median: 4

B. Mean: 4, Median: 5

C. Mean: 5, Median:

D. Mean: , Median:

E. Mean: 5, Median: 5

10. It is estimated that at a classroom party each student will drink of a gallon of lemonade. How many gallons of lemonade should be brought to the classroom if 28 students are expected to attend?

A. 3

B. Between 3 and 4

C. 5

D. Between 5 and 6

E. More than 6

Question 11 refers to the following graph.

11. The preceding figure shows how the Lopez family income was spent in a given year. According to the figure, what percent of the family’s income was left after deducting household and credit card expenses?

A. 3%

B. 21%

C. 46%

D. 54%

E. 119%

12. Rosanna knows that a geometric figure is a rectangle and that it has sides of 10 and 16. How can Rosanna compute the area of a square that has the same perimeter as the described rectangle?

A. Add 10 and 16, double this sum, divide by 4, and then multiply by 2.

B. Add 10 and 16, double this sum, divide by 4, and then multiply by 4.

C. Add 10 and 16, double this sum, divide by 4, and then square the quotient.

D. Add 10 and 16, double this sum, and then multiply by 4.

E. Add twice 10 to twice 16, divide by 2, and then square the quotient.

13. Sam walks miles twice each day. At this rate, if he walks 5 days each week, how many miles will he walk in 5 weeks?

A. 25

B.

C. 125

D. 175

E.

14. Jason is just 4 years older than Emily. The total of their ages is 24 years. Which of the following is the equation for finding Emily’s age?

A. x + 4x = 24

B. x + 4 = 24

C. 4x + x = 24

D. x + (x + 4) = 24

E. 4x + 1 = 24

15. If 8 identical pairs of shoes cost $360, then what would be the cost for 12 pairs of those shoes?

A. $96

B. $380

C. $520

D. $540

E. $4,320

Question 16 refers to the following diagram.

16. On the number line above, what is the point 15 units to the left of point Q?

A. —10

B. —9

C. 0

D. 5

E. 10

17. The graduating class of Pomona High School totaled 250 students. Of those 250 students, 20% graduated with honors. Which of the following is a method that could be used to calculate the actual number of students who graduated with honors?

A. 20 × 250

B. 250 ÷ 20

C.

D.

E. 250 ÷ 0.20

Question 18 refers to the following test scores.

18. The table above shows the test scores from Daniel’s standardized math test. Which of the following is a true statement about Daniel’s test scores?

A. Daniel answered 55% of the questions correctly.

B. Forty-five percent of the test-takers scored higher than Daniel.

C. Twenty-eight percent of the test-takers scored lower than Daniel.

D. Daniel scored as high as or higher than 82% of the other test-takers.

E. Daniel answered 82% of the questions correctly.

19. If a package of two blank DVDs costs $2.98, how much change will Andres receive from a $20 bill if he purchases 12 DVDs?

A. $2.02

B. $2.12

C. $2.18

D. $2.22

E. $3.02

20. Which of the following fractions is the smallest?

A.

B.

C.

D.

E.

21. Gavin bought 200 decks of cards for $2.20 per deck. He plans to sell these decks at a swap meet and make a profit of 15% to 25% per deck. If he sells all 200 decks, all at the same price, which of the following could be the total sales revenue?

A. $540

B. $560

C. $580

D. $600

E. $620

22. Twelve people are discussing three popular movies—a drama, a comedy, and an action movie. Three of the people viewed all three movies. Four viewed exactly two of the movies. Eight of the people viewed the drama. Six of the people viewed the comedy. Seven of the people viewed the action movie. How many of the twelve people did not view any of the three movies?

A. 0

B. 1

C. 2

D. 3

E. 4

23. Which of the diagrams below has the greatest perimeter? The length of the side of the square is the same length for each diagram.

24. Which of the following represents 0.14739 rounded off to the nearest thousandth?

A. 0.147

B. 0.1472

C. 0.1474

D. 0.148

E. 0.15

25. Sean purchased 12 pounds of apples at $1.60 per pound. To compute the total price he paid, Sean used 12 × $1.60 = $19.20. Which of the following is another simple method Sean could have used to compute the total price he paid?

A. 10(1.60) + 2(1.60)

B. 13(1.60) — 1.00

C. (6 × 0.80) + (6 × 0.80)

D. 10(1.00) + 2(0.60)

E. 12(1.00) — 12(0.60)

26. What is 30% of ?

A.

B.

C.

D.

E.

27. If 16 out of 400 dentists polled recommend Natural Smile toothpaste, what percent recommend the toothpaste?

A. 4%

B. 8%

C. 16%

D. 25%

E. 40%

28. Maya set a budget for her cruise vacation. She planned to spend 10% of her budget for air travel, 60% for the cruise fare, 20% for on-board expenses, and 10% on gifts. When she returned home, she found that she spent 20% more than the budgeted amount on air travel, 10% less than the budgeted amount on the cruise fare, 20% more than the budgeted amount on on-board expenses, and 20% less than the budgeted amount on gifts. Her overall actual cruise vacation expenses amounted to what percent of her budgeted amount?

A. 97%

B. 98%

C. 99%

D. 100%

E. 101%

Question 29 refers to the following table.

Prices at Laundromat

29. Sara brought her own soap to the laundromat. How much would it cost her to wash and dry seven loads of laundry?

A. $7.00

B. $8.75

C. $15.75

D. $18.25

E. $21.50

30. Teachers will be assigned special camp duty one day of the week during a seven-day camping trip. If all the days of the week (Monday through Sunday) are tossed into a cap and each teacher chooses one day of the week, what is the probability that the first teacher will randomly select a weekend day (Saturday or Sunday)?

A.

B.

C.

D.

E.

Question 31 refers to the following diagram.

31. Which answer best represents the shaded part of the figure?

A.

B.

C.

D.

E.

32. Juan approximated 35 × 45 by rounding off each number. He then multiplied 40 × 50, but the answer he got was much too large. Which of the following multiplications should Juan have used to get closer to a better approximation?

A. 50 × 50

B. 45 × 50

C. 30 × 50

D. 30 × 40

E. 20 × 30

Question 33 refers to the following graph.

33. According to the preceding graph, how many stars are on the pavements of Hollywood Boulevard and Vine Street? (Key: Each group of 4 asterisks = 10 stars.)

A. 45

B. 47.5

C. 90

D. 92

E. 95

34. Trang has a bag of gumballs. The bag contains 16 yellow, 13 purple, 9 green, and 6 orange gumballs. Trang randomly takes a purple gumball from the bag and chews it. What is the probability that the next gumball Trang takes from the bag will be purple or green?

A.

B.

C.

D.

E.

35. A nearly new motocross motorcycle is selling at a 30% discount off its sticker price. Its sticker price is $8,000. What is its new selling price?

A. $2,400

B. $5,600

C. $6,600

D. $7,970

E. $7,976

36. Araceli’s new hybrid car averages 35 miles per gallon of gasoline. Assuming Araceli is able to maintain his average miles per gallon, how far can he drive on 12 gallons of gas?

A. Almost 3 miles

B. 42 miles

C. 350 miles

D. 420 miles

E. 700 miles

37. If 150 family members attend the annual open house and there are more adults than children, which of the following could be the number of children?

A. 72.5

B. 74

C. 75

D. 75.5

E. 77

Question 38 refers to the following bar graph.

38. Based on the graph above, what is the percent change in the amount spent on food from February to March?

A. 20%

B. 30%

C. 40%

D. 50%

E. 60%

Question 39 refers to the following chart.

Lake Tahoe, California

Hourly Snowfall Rate

39. The chart above shows the temperature and snowfall during one day in Lake Tahoe, California. Which of the following is true about the data published in the chart?

A. As the temperature increased, the amount of snowfall increased.

B. As the temperature decreased, the amount of snowfall decreased.

C. As the temperature increased, the amount of snowfall remained the same.

D. As the temperature decreased, the amount of snowfall increased.

E. As the temperature decreased, the amount of snowfall remained the same.

40. If it costs 82¢ to make a dry erase marker, how many markers can be made for $75?

A. 9

B. 90

C. 91

D. 92

E. 100

41. In a school of 280, only 35 students did not attend graduation. What percent of the school population did not attend graduation?

A. 12.5%

B. 18.5%

C. 22.5%

D. 25.0%

E. 32.5%

42. If Fatima can proofread 20 pages in 4 hours, how many hours will it take her to proofread 50 pages?

A. 5

B. 6

C. 8

D. 9

E. 10

43. In West Sacramento’s Little League, team A has twice as many victories as team B, team C has five fewer victories than team A, and team D has four more victories than team B. If total victories of all four teams equal 29, how many victories does team D have?

A. 5

B. 9

C. 10

D. 12

E. 14

Question 44 refers to the following diagram.

44. If the dimensions of the rectangle above are increased by 3 inches, what is the new perimeter of the rectangle?

A. 18 inches

B. 24 inches

C. 30 inches

D. 36 inches

E. 72 inches

45. George scored an average of 80% on three tests. What score must he get on the fourth test to bring his average to 85%?

A. 85%

B. 88%

C. 90%

D. 95%

E. 100%

46. If 9 is added to 7p, the outcome is 24. What is the value of p?

A.

B.

C.

D. 6

E. 8

47. It takes a student 12 minutes to make five protein smoothies. At this rate, how long will it take this same student to make 45 protein smoothies?

A. 1 hour, 2 minutes

B. 1 hour, 8 minutes

C. 1 hour, 28 minutes

D. 1 hour, 30 minutes

E. 1 hour, 48 minutes

Question 48 refers to the following graph.

48. According to the graph, if the temperature falls 35 degrees, by what percentage will school attendance drop?

A. 10%

B. 20%

C. 30%

D. 40%

E. 50%

49. Jenna has a purse full of coins totaling $9.15. She has at least one of every U.S. coin (dollar, half-dollar, quarter, dime, nickel, and penny). What is the largest number of quarters she can have in her purse?

A. 25

B. 27

C. 28

D. 29

E. 30

Question 50 refers to the following figures.

50. A game is played with the two spinners pictured above. The first player spins once from each spinner. What is the probability of the player spinning the number 3 from the first spinner, followed by spinning the color blue from the second spinner?

A.

B.

C.

D.

E.

IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT WORK ON ANY OTHER SECTION IN THE TEST.