CMAS Content Review

The Number System

10

What is the decimal equivalent for the fraction below?

11/20

A. 0.44    B. 0.45    C. 0.55    D. 0.51

C. 0.55

20

Tommy went to the candy store after school.  He had $7.25 to spend.  He bought twelve lollipops at $0.10 each, a box of donuts for $3.05, and a bag of popcorn. All prices included tax. He received $0.20 change. How much was the bag of popcorn?

A.$2.80    B.$2.00    C.$3.00    D.$3.80

A. $2.80

30

Which expression can go in the blank to make the equation true?

15 + (  ?  ) = 40

A.(24 + 2)    B.(27 + 2)    C.(29 – 2)    D.(27 – 2)

D. (27 – 2)

40

Which situation results in a final value of zero?

A. Billy has ten dollars and he spends ten quarters at a store.

B. The temperature is 3^o F and then rises 3^o F.

C. The temperature is 3^o F and then drops 3^o F.

D. Eight donuts are evenly split among eight people.

C. The temperature is 3^o F and then drops 3^o F.

50

Please choose the correct answer for the blank in the problem below.

( 600 + 25 ) ÷  ___  = 125

A. 5    B. 10    C. 25    D. 50

A. 5

Probability

10

What is the probability the toy bought by a specific child was plastic and a car?

A. 2/7     B. 1/6     C. 1/5     D. 11/30

C. 1/5

20

The table below displays the results of a survey of people who exercise with weights.  What is the probability that a person chosen from the survey would regularly work out at home or the gym given they use barbells?

A. 16/27     B. 64/75     C. 11/25     D. 22/27

B. 64/75

30

The table below displays the results of drinks consumed by people and where they consumed them.  What is the probability that a person chosen from the survey would drink coffee given they are drinking it at home?

A. 11/42     B. 12/19     C. 11/19     D. 8/19

C. 11/19 

40

The table below shows the results of an experiment with a spinner from a board game.  Calculate the experimental probability for green. 

A. 30/97     B. 31/97     C. 1/3     D. 36/97

A. 30/97

50

Julia reviewed the list of people who signed up for the talent show.  She calculated that out of 400 students, 220 are seniors, 160 are boys, and 120 are girls who are seniors.  What is the probability that a student chosen randomly from the group is a Non-Senior Girl?

A. 3/10     B. 1/2     C. 27/28     D. 120/180

B. 1/2

Expressions and Equations

10

Mrs. White had 24 bottles of water when she arrived at school.  She drank two bottles before lunch.  She gave four bottles to Mr. French.  From the remaining bottles, she gave six other teachers an even amount of bottles. Which equation can be used to determine the number of bottles of water, b, she gave to each teacher?

A. b = (24 +6) ÷ 6        B. b = (24 – 6) ÷ 6

C. b = (24 – 6) x 6         D. b = (24 ÷ 6) ÷ 6

B. b = (24 – 6) ÷ 6

20

George has 18 hangers. He then found two in his closet. He then uses a fourth of his hangers on clean shirts. Which equation can be used to determine the number of hangers, h, he used on clean shirts?

A. h = (18 + 2) ÷ 4          B. h = (18 – 2) ÷ 4

C. h = (18 + 2) x 4           D. h = (18 + 2) – 4

A. h = (18 + 2) ÷ 4

30

Irina is able to earn $460 in June assembling trophies. Her income increases by 35% in July. Which equation can be used to determine how much she earned, x, in July?

A. x = $460(0.35)          B. x = $460(0.65)

C. x = $460(1.35)          D. x = $460(1.65)

C. x = $460(1.35)

40

Alexa produces staplers.  She has a budget of $312. The set up cost is $4.00, and then $0.50 per stapler. Which equation can be used to determine the number of staplers, s, she can produce?

A. s = (312 – 4) ÷ 0.50     B. s = (312 – 4) + 0.50

C. s = (312 + 4) ÷ 0.50     D. s = (312 – 4) – 0.50

A. s = (312 – 4) ÷ 0.50

50

Sally sells dog toys from her home. In 2011, she sold 200 dog toys. Her sales increased by 7 percent from 2011 and 2012. Which equation can be used to determine how much total dog toys she sold, t, in 2011 and 2012?

A. t=(200)+(200 x 1.07)   B. t=(200)+(200 x 1.70)

C. t=(200)+(200 x 0.15)   D. t=(200)+(200 x 0.85)                       

A. t=(200)+(200 x 1.07)

Ratios and Proportions

10

Anthony collects candles. Three out of seven candles are white. If he has a total of forty-two candles, how many are white?

A. 7      B. 42      C. 18      D. 98

C. 18

20

For the new year, the office manager bought wooden statues for his employees. Every employee received 4 wooden statues. If there are 16 employees, how many total wooden statues did the office manage buy for his employees?

A. 64      B. 8      C. 16      D. 32  

A. 64

30

A hat shop can produce five hats every nine hours. At this rate, how many complete hats can be produced in 27 hours?

A. 81      B. 9      C. 48      D. 15

D. 15

40

A production machine can make five statues every six minutes. How many statues can be made in one hour?

A. 75        B. 20        C. 50        D. 72

C. 50 

50

For every nine pencils in Brandon’s desk, four of them are unsharpened. If he has 45 pencils, how many pencils are unsharpened?

A. 5       B. 10       C. 20       D. 102

C. 20

Geometry

10

A right triangle has a base of 6 feet and a height of 3 feet. What is the area of this right triangle in feet squared?

A. 24 ft²      B. 12 ft²      C. 18 ft²      D. 9 ft²

D. 9 ft²

20

Find the volume of the rectangular prism shown.

90 in³

30

What is the area of this figure?

27.5 m²

40

Find the surface area of the rectangular prism shown.

126 in²

50

Calculate the measure of angle x. 

x = 124^o