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

Section II: Mathematics
Practice Test 4

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. Which of the following is the distance between two cities that are 825 miles apart? Note: The map legend shows that 1 cm = 75 miles.

A. 8 cm

B. 10 cm

C. 11 cm

D. 25 cm

E. 75 cm

2. What is expressed as a decimal? Round your answer to the nearest hundredth.

A. 0.25

B. 0.38

C. 0.46

D. 0.50

E. 0.83

Question 3 refers to the following math problem.

A package of cheese contains c cheese slices in each package. A package of turkey contains t turkey slices in each package. If you want to buy an equal number of cheese slices and turkey slices so that each slice of cheese will have exactly one slice of turkey to make a sandwich, what would be the least number of cheese packages and turkey packages that you would need to buy?

3. In the context of math reasoning, which of the following methods could be used to find the solution to this problem?

A. Add c and t.

B. Find the greatest common factor of c and t.

C. Find the least common multiple of c and t.

D. Divide c by t.

E. Multiply c and t.

4. The width of a rectangle is from one-third to two-thirds of its length. If the perimeter of the rectangle is 40, which of the following integers could be the area of the rectangle?

A. 36

B. 40

C. 64

D. 75

E. 80

5. Which of the following is the best estimate for 6.23 × 0.83?

A. 0.5

B. 5

C. 6

D. 50

E. 60

6. If Jerry was born on December 4, 1980, how old will he be in 2025?

A. 43 or 44

B. 44

C. 44 or 45

D. 45

E. 45 or 46

7. The Glee Club’s bank balance showed a deficit of $2,800 in March. If additional debts in April totaled $1,300 and there was no income during that month, what did the Glee Club’s balance book show?

A. —$4,100

B. —$1,500

C. —$1,300

D. $1,500

E. $4,100

Question 8 refers to the following graph.

8. According to the graph, approximately how much greater was the U.S. unemployment rate in 2013 than 2019?

A. 3.0%

B. 3.3%

C. 4.0%

D. 4.2%

E. 6.3%

9. The average score of Melody’s eight science tests for the first trimester of school is 78%, but she needs to average 80% to maintain her scholarship. Which of the following is the minimum test score that is needed on the next science test to raise her average to 80%?

A. 80%

B. 88%

C. 96%

D. 98%

E. 100%

Question 10 refers to the following pictogram.

10. In the picture above, what is the value of the symbol ?

A. 4

B. 5

C. 6

D. 7

E. 8

11. If the pattern established in the first five fractions in the following list continues, what is the next fraction in the list?

12. Nine hundred electric vehicles must be transported by train from the Port of Los Angeles to Sacramento. If each train car can hold a maximum of 80 vehicles, what is the lowest number of train cars required to transport all the vehicles?

A. 11

C. 12

E. 13

13. The length of a rectangle is 3 feet less than two times the width. If the perimeter of the rectangle is 48 feet, what is the length of the rectangle?

A. 9 feet

B. 15 feet

C. 17 feet

D. 24 feet

E. 31 feet

14. If 0.8 gallons of heating oil are required to heat three rooms, how many gallons of heating oil are needed to heat 42 rooms?

B. 14

D. 18

E. 24

15. Keri purchased three times as many sunflowers as roses. If roses cost $1 each, sunflowers cost 50¢ each, and she spent a total of $7.50 for the flowers, how many roses did she purchase?

A. 2

B. 3

C. 4

D. 5

E. 6

16. A fruit display in a market is in the shape of a pyramid with one piece of fruit at the top. Each layer below the top forms a square shape with one additional piece of fruit per side. If a total of 140 pieces of fruit are used, how many layers of fruit will there be?

A. 4

B. 5

C. 6

D. 7

E. 8

17. A collection of writing instruments consists of 24 pens, 12 pencils, 6 markers, and 2 highlighters. Which of the following statements about this collection is false?

A. The ratio of pens to pencils is 2 to 1.

B. The ratio of pens to markers is 8 to 2.

C. The ratio of highlighters to pencils is 6 to 1.

D. Pens make up more than 50% of the collection.

E. All of the above statements are true.

18. If of a person’s gross earnings are paid to taxes and Joshua paid $15,000 in taxes, what were Joshua’s gross earnings last year?

A. $45,000

B. $50,000

C. $65,000

D. $70,000

E. $105,000

19. A teacher purchased 39 bottles of water for a field trip. If each bottle cost 78¢, how much did he spend for the water? (Disregard any sales tax.)

A. $11.70

B. $17.11

C. $28.39

D. $30.42

E. $42.30

20. Which of the following decimals is equivalent to ?

A. 0.125

B. 0.25

C. 0.33

D. 0.375

E. 0.38

21. A regular pentagon has a perimeter of 90 feet. What is the length of each side?

A. 9 feet

B. 10 feet

C. 15 feet

D. 18 feet

E. 22.5 feet

Question 22 refers to the following graph.

22. Approximately how much greater was the highest average daily air temperature than the lowest average daily air temperature during the dates shown on the preceding chart?

A. 6°

B. 17°

C. 28°

D. 58°

E. 75°

Question 23 refers to the following table.

Student	Score	Percentile Rank	Stanine
Samantha	70	82	8
Isabella	57	60	6
Tony	83	93	9

23. Which of the following is a true statement based on the scores, percentile ranks, and stanines of the three students listed in the preceding table?

A. Samantha got 70% of the test questions correct.

B. Samantha scored just as high or higher than 82% of the students who took the test.

C. Tony got 93% of the test questions correct.

D. Seventeen percent of the students who took the test did better than Tony.

E. Sixty percent of the students who took the test scored higher than Isabella.

24. A painting crew painted three rooms on Monday, five rooms on Tuesday, two rooms on Wednesday, and four rooms on Thursday. What information must be provided to determine how many gallons of paint were purchased for the painting crew?

A. The average number of rooms in the house

B. The average number of rooms painted per day

C. The cost per gallon of paint

D. The total number of rooms painted in the house

E. The average number of gallons of paint used per room

25. Theo walked miles on Wednesday. Lily walked miles on Thursday. What is the difference between the distance Theo walked on Wednesday and the distance Lily walked on Thursday?

A. miles

B. miles

C. miles

D. miles

E. 11 miles

26. The interest, I, that results when a certain principal, P, is invested at rate r over a period of t years is found by the equation I = Prt. What is the value of t if I = $500, P = $2,000, and r = 10%?

A. 0.25

B. 0.40

C. 2.5

D. 4.0

E. 25

Question 27 refers to the following graph.

27. According to the preceding graph, approximately how many more barrels of oil were in reserve in 2018 than in 2012?

A. 400

B. 500

C. 300,000,000

D. 400,000,000

E. 500,000,000

Question 28 refers to the following diagram.

28. What is the total perimeter of the pool in the above diagram?

A. 20 yards

B. 25 yards

C. 30 yards

D. 40 yards

E. 45 yards

29. A fair spinner at a bazaar has 12 equal sections, numbered 1 through 12. If the spinner is spun twice, what is the probability that the second spin will come up an odd number?

30. If a square carpet, 8 feet on a side, is cut up into smaller squares each 2 feet on a side, what is the largest number of smaller squares that can be formed?

A. 8

B. 16

C. 32

D. 64

E. 128

31. What is of ?

Question 32 refers to the following table.

Chart of an Adult ESL Class

Ethnic Background	Number of Students
Hispanic	15
Cambodian	12
Russian	8
Arabic	5

32. What is the probability of teaching a student who is Arabic or Hispanic?

Question 33 refers to the following math problem.

Sandra reads eight magazines each week. How many magazines does she average each day that she reads?

33. What additional information is needed to find a solution to the problem above?

A. The number of days she reads two magazines

B. The number of days she reads one magazine in the morning

C. The number of days she reads three magazines

D. The number of days she reads more than one magazine

E. The number of days she reads no magazines

Question 34 refers to the following graph.

The graph below shows the distribution for 16 different income brackets in Pasadena. Each bar represents the percentage of the Pasadena population whose yearly income falls within that range.

34. According to the graph, the percent of people in Pasadena earning less than $10,000 per year is approximately how much more than the percent of people earning more than $200,000 per year?

A. 4%

B. 6%

C. 8%

D. 11%

E. 16%

35. If a cabinet refinishing company takes 6 hours to replace 15 dozen hinges, how many minutes will it take to replace 36 hinges?

C. 66

D. 72

E. 370

Question 36 refers to the following figure.

36. In the figure, if each small square is 3 inches in length, what is the perimeter of the shaded area?

A. 30 inches

B. 36 inches

C. 39 inches

D. 48 inches

E. 51 inches

37. Mr. Ferguson purchased a new motorcycle for $18,600, with an additional upgrade charge of $1,800. If the state sales tax requires an additional 8% on all charges, what is the total price Mr. Ferguson paid?

A. $16,800

B. $18,144

C. $20,400

D. $21,400

E. $22,032

38. Zion is shorter than Lebron, and Lebron is taller than Anthony. Stephen is taller than Zion but shorter than Jordan. Jordan is shorter than Anthony. Who is the shortest?

A. Zion

B. Lebron

C. Anthony

D. Stephen

E. Jordan

39. If 12 cups of flour are needed to make five cakes, how many cakes can be made with 36 cups of flour?

A. 4

B. 6

C. 10

D. 15

E. 20

40. Mrs. Solis purchased a refrigerator at a 30% discount off the retail price. If the retail price was $800, how much did Mrs. Solis pay for the refrigerator?

A. $240

B. $560

C. $660

D. $770

E. $2,400

41. Which equation can be used to find the perimeter, P, of a rectangle that has a length of 18 feet and a width of 15 feet?

A. P = (18)(15)

B. P = 18 + 15

C. P = 2(15)(18)

D. P = (2)15 + 18

E. P = 2(15 + 18)

42. If 240 miles can be driven using 9 gallons of gasoline, how many miles can be driven using 12 gallons of gasoline?

A. 80

B. 270

C. 320

D. 370

E. 480

43. Scores on six equally weighted tests are different integers between 70 and 100, inclusive. If the average score on these six tests is 76 and x represents the highest-scoring test, which of the following could be the value of x?

A. 78

B. 79

C. 96

D. 97

E. 98

44. On a map, the scale is given as 1 cm = 25 miles. The map distance between two cities is 15 cm. If you plan to drive between these two cities at an average speed of 35 miles per hour, which of the following is the best estimate for how long the trip should take?

A. Between 8 and 9 hours

B. Between 9 and 10 hours

C. Between 10 and 11 hours

D. Between 11 and 12 hours

E. Between 12 and 13 hours

45. The problem below shows the steps for finding the product of a two-digit number and a three-digit number using the standard multiplication algorithm. The missing digits are represented with the letters x, y, and z.

What is the result of x + yz?

A. 16

B. 45

C. 63

D. 126

E. 136

Question 46 refers to the following graph.

46. For which of the years shown on the chart was the difference between index ratios of bottom water and surface water the greatest?

A. 2011

B. 2012

C. 2019

D. 2017

E. 2020

Questions 47—48 refer to the following data.

Phone Owner	Plan	Included Minutes	Cost / Extra Minute	Plan Cost / Month
A	Pre-Paid	700	$0.60	$60
B	Basic	1,000	$0.50	$70
C	Family	1,400	$0.40	$90
D	Smartphone	2,100	$0.25	$120

47. According to the data, Owner B’s extra-minute charges for the month exceeded Owner C’s extra-minute charges for the month by what percent?

A. 20%

B. 25%

C. 80%

D. 400%

E. 500%

48. According to the data, what would the combined savings of Owners B and D have been if they had used the family plan instead of their current plans?

A. $10

B. $20

C. $30

D. $40

E. $50

49. When of a number y is increased by 4, the result is 13. What is the value of y?