6th Grade FAST Math Review

Fractions

100

What is the strategy for dividing fractions?

Keep Change Flip

200

How do you multiply fractions? 

You multiply fractions, straight across; numerator times numerator, and denominator times denominator. 

300

What is 2/3 divided by 3/6?

2/3 x 6/3 = 12/9

simplified 4/3 or 1 and 1/3

400

What is 4/6 divided by 3/6?

4/6 x 6/3 = 24/18

simplified 4/3 or 1 and 1/3

500

What is 5/4 divided by 10/12?

5/4 x 12/10=60/40 

Simplified 3/2 or 1 and 1/2

Decimals

100

What is the rule for adding and subtracting decimals?

Line em up! Make sure that the decimal points of both numbers are aligned before adding or subtracting. 

200

What is the rule for multiplying decimals? 

Multiply the numbers regularly, then count the number of places behind the decimal, add them up and move the decimal that number of times. 

300

41.82 + 7.593

       _{1  1}

     41.820

   + 7.593

     49.413

400

18.25 - 6.342

       

 18.250

-  6.342

 11.908

500

52.4 x 4.5

52.4

_x 4.5

235.8

GCF/LCM

100

How do you find the Greatest common factor between two numbers? 

List the factors of each number and identify the largest number they have in common, use prime factorization or the ladder method. 

200

How do you find the Least Common Multiple between two numbers? 

List the multiples of each number, then identify the smallest number they have in common, or use the ladder method.  

300

What is the GCF of 24 and 20? 

24: 1x24, 2x12, 3x8, 4x6

20: 1x20, 2x10, 4x5

GCF = 4

400

What is the LCM of 10 and 6? 

10: 10, 20, 30

6: 6, 12, 18, 24, 30 

LCM: 30 

500

What are the GCF and LCM of 13 and 39?

GCF: 13

13: 1x13

39: 1x39, 3x13

LCM: 39

13: 13, 26, 39

39: 39

Exponents

100

What are the definition of a base and an exponent? 

A base is the number being multiplied and the exponent is the number of times you multiply the base by itself. 

200

Write 3⁴ in expanded form.

3x3x3x3

300

Evaluate 2⁵

2x2=4x2=8x2=16x2=32

2⁵= 32

400

Evaluate 8²-6² 

8²= 64

6² = 36

64-36=28

500

Evaluate 4² x 3³ 

4² = 4x4 = 16

3³= 3x3x3= 27

16 x 27 = 432

Order of Operations

100

What does PEMDAS mean? And why do we use it? 

Parenthesis

Exponents

Multiplication 

Division 

Addition 

Subtraction 

It is the order of operations, we use it to know which operations to perform in the proper way to solve a problem with more than one operation. 

200

Evaluate 32 - 8 + 11

32 - 8 = 24

24 + 11 = 35

300

Evaluate 7 + 6 x 2

6 x 2 = 12 + 7 = 19

400

Evaluate 18 + 14 x 0.5 

14 x 0.5 = 7 ( anything times 0.5, .5 or 1/2 is half of that number)

7 + 18 = 25

500

Evaluate 10^{2  .}/_. 5 x 4 

10² = 100 

100 ^./_. 5 = 20

20 x 4 = 80