Math FAST 6th Grade Review

Number Sense & Operations

100

The regular piece of ice has a temperature of 32 degrees Fahrenheit. A piece of dry ice has a temperature of -109 degrees Fahrenheit. 

What do you know about the ice?

A. The regular ice is colder than the dry ice.

B. The temperature of the dry ice is closer to 0 degrees Fahrenheit.

C. The dry ice is colder than the regular ice.

D. The dry ice has a greater temperature.

C. The dry ice is colder than the regular ice.

200

A football team lost 15 yards due to a penalty, then gained 25 yards on the next play. Which expression correctly compares these two football plays?

𝖠.  |15| < |−25|

𝖡  |15| > |−25|

𝖢.  |−15| < |25|

𝖣.  |−15| > |25|

𝖢.  |−15| < |25|

300

Which Are True And Which Are False?

10.45 × 1.2 = 12.54

3.02 ÷ 1.6 = 1.51

4.008 ÷ 0.002 = 2,004

5.13 × 6.4 = 32,832

TRUE

FALSE

TRUE

TRUE

400

Choose the expression that uses the greatest common factor and the Distributive Property to find 88 + 258. 

𝖠.  2(44 + 129)

𝖡.  2(46 + 129)

𝖢.  8(11 + 32)

𝖣.  4(22 + 64)

𝖠.  2(44 + 129)

500

Write Each Percent As It's Fraction Equivalent.

85%

220%

98%

17/20

2  1/5

49/50

Algebraic Reasoning

100

Which of the phrases could be represented by the algebraic expression (y/3) − 5? Select all that apply.

𝖠. five less than the quotient of a number y and three

𝖡.  the difference between a number y and 5

𝖢.  five less than y divided by 3

𝖣.  five less than a number y

𝖤.  the quotient of three and a number y 

𝖠. five less than the quotient of a number y and three

𝖢.  five less than y divided by 3

200

Evaluate the expression 3 × [(a − 1) ÷ 5], when a = 11.

6

300

What value makes the expressions equivalent?

−9(2x + 1) and −11x + _?_ + (−7x)

-9

400

Solve 8 = k/16

128

500

At TopHill Elementary School, 84% of the students are driven to school every morning. The student population is 450. What is the number of students who are NOT driven to school?

72

Geometric Reasoning

100

Which of the following points is the result of moving from (0, 0) to a point two units to the left and four units down?                              

𝖠.  (−2, −4)

𝖡.  (−2, 4)

𝖢.  (2, −4)

𝖣.  (2, 4)

𝖠.  (−2, −4)

200

Find the distance between the two points (11, −5) and (11, 12).

17 Units

300

The height of a rhombus is 6 inches and its area is 25.2 inches squared. What is the length of each of its sides, in inches?

4.2

400

A rectangular prism has a base with an area of 64 meters squared and a height of 15.3 meters. What is its volume?

979.2 meters cubed

500

Select all of the dimensions that could describe a rectangular prism with a volume of 118.8 inches cubed.                          

𝖠.  2.2 in. by 12 in. by 4.5 in.                           

𝖡.  8 in. by 5 in. by 2.5 in.                            

𝖢.  4.2 in. by 7 in. by 4 in.                           

𝖣.  4 in. by 0.9 in. by 33 in.

𝖤.  1.2 in. by 6 in. by 16.5 in.

𝖠.  2.2 in. by 12 in. by 4.5 in.                                                      

𝖣.  4 in. by 0.9 in. by 33 in.

𝖤.  1.2 in. by 6 in. by 16.5 in.

Data Analysis & Probability

100

Which of the following is a statistical question?                            

𝖠.  What is the definition of “Platypus”?                           

𝖡.  How many art collections does the local art gallery maintain?                        

𝖢.  How many guests do U. S. hotels serve every year?                            

𝖣.  What is the storage capacity of Nick’s new computer?

𝖢.  How many guests do U.S. hotels serve every year?

200

George surveyed his friends about how many siblings they have. Use the data in the table to find the mean of the data.

Number of Siblings: 1,2,0,6,2,1,0,2,4,2

2

300

The following box plot key points shows the distribution of ages among the visitors at a zoo one day.

Minimum: 15

Q1: 30

Median: 45

Q3: 60

Maximum: 75

What is the maximum age of the youngest 25% of visitors?

30

400

 Corie, who is a nurse, lists the ages, in years, of the patients she is currently helping.

{59, 81, 54, 47, 45, 90}

What could the age of her next patient be in order for the range of her data to change to 50?

A. 44

B. 40

C. 130

D. 6

B. 40

500

 This data set shows the masses, in grams, of 6 apples.

{68, 72, 70, 68, 81, 78}

Suppose an additional apple with a mass of 68 grams is added to the set.

Select all the true statements about the measures of center.                             

𝖠  The mean increases.                             

𝖡  The median increases.                               

𝖢  The mean is affected more than the median.                               

𝖣  The mean decreases.                                

𝖤  The median decreases.

𝖣  The mean decreases.                                

𝖤  The median decreases.

Mystery Category

100

Which of the following orders the values from least to greatest?                           

|−9|, − |5|, − |−12|, |−(−14)|

                           

𝖠.  −∣−12∣, −∣5∣, ∣−9∣, ∣−(−14)∣                          

𝖡.  −∣5∣, ∣−9∣, −∣−12∣, ∣−(−14)∣                            

𝖢.  −∣5∣, ∣−(−14)∣, −∣−12∣, ∣−9∣                           

𝖣.  ∣−(−14)∣, ∣−9∣, −∣5∣, ∣−(−12)∣

𝖠.  −∣−12∣, −∣5∣, ∣−9∣, ∣−(−14)∣

200

What is the value of −2a2 + 5b when a = 3 and b = −1?

-23

300

What is the prime factorization of 36?

2x2x3x3

or 

2²×3²

400

The number of points scored by a football team in a season are {28, 14, 22, 35, 17, 40, 28, 30, 20, 27, 33, 40, 21, 16, 25}. If a box plot were used to show the distribution of the data, which of the following would be plotted at 27?

𝖠. Upper quartile

𝖡. Median 

𝖢. Lower quartile

𝖣. Range

𝖡. Median

500

A 1 7/8 mile walking trail, which starts and ends at the same place, has a park bench every 1/4 mile along the trail. There is not a park bench at the start. Collin walks twice around the entire trail, stopping at every bench. How many stops does he make in all?

14