6th Grade Master Q4 Review

Spiral Review

1

Fill in the Blank

A decimal number is used to represent a non-whole number where a decimal point is used following by digits that represent a value that is _________ than one.

Multiple Choice

In 34.2605, which number is in the hundredths place?

• 2

• 0

• 5

• 6

Multiple Choice

Match the number in word form: 15.021

• fifteen thousand twenty one

• fifteen and twenty one hundredths

• fifteen and twenty one thousandths

• fifteen and twenty one tenths

Reorder

Order from GREATEST to LEAST

​ ​

• 4.601
• 4.53
• 4.502
• 4.5

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

The 6 in the number 6,140 has a value _____ times greater than the 6 in the number 648.

• 1,000

• 100

• 10

• 1/10

Hotspot

Mark the tenths place

Hotspot

Mark the thousandths place

Hotspot

Mark the tens place

Hotspot

Mark the tenths place

Match

Match the following

• 1/10

• 1/100

• 1/1000

• 1/10000

0.1

0.01

0.001

0.0001

• 0.1

• 0.01

• 0.001

• 0.0001

Match

Match the following

• 3/10

• 2/100

• 3/1000

• 2/10000

0.3

0.02

0.003

0.0002

• 0.3

• 0.02

• 0.003

• 0.0002

Spiral Review

2

Fill in the Blank

________fraction- the numerator is smaller than the denominator. The value is less than one whole.

Fill in the Blank

Improper fraction- the numerator is equal or ______ than the denominator. The value is greater than one whole.

Hotspot

Mark the DIVIDEND

Hotspot

Mark the DIVISOR

Hotspot

Mark the QUOTIENT

Hotspot

Mark the DIVISOR

Hotspot

Mark the DIVIDEND

3

Match

Match the following

• add

• subtract

• multiply

• divide

putting together to find the total

finding the difference between two numbers

making equal groups to find the total

splitting into equal parts

• putting together to find the total

• finding the difference between two numbers

• making equal groups to find the total

• splitting into equal parts

Spiral Review

4

Drag and Drop

​

Placeholder

is the product of repeated multiplication

​

Placeholder

is the factor being multiplied by itself

​

Placeholder

tells how many times to multiply the number

​

Placeholder

means an exponent of two

​

Placeholder

means an exponent of three_

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Power

Base

Exponent

Squared

Cubed

Labelling

Evaluate the Exponent

Drag labels to their correct position on the image

6

30

8

16

100

Multiple Choice

What does 'squared' mean?

• An exponent of three

• An exponent of four

• An exponent of one

• An exponent of two

Reorder

What is the correct order of operations?

• Grouping

• Exponents

• Multiplication or Division from left to right

• Addition or Subtraction from left to right

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

What does 'cubed' mean?

• An exponent of five

• An exponent of two

• An exponent of four

• An exponent of three

Multiple Choice

What is the base in an exponentiation operation?

• The number that is divided

• The number that is added

• The number being multiplied by itself

• The number that is subtracted

Multiple Choice

10⁷ =

• 10 x 10 x 10

• 10 x 10 x 10 x 10

• 10 x 10 x 10 x 10 x 10 x 10

• 10 x 10 x 10 x 10 x 10 x 10 x 10

Multiple Choice

Ms. Waites wrote the following values for powers of 10.
10² = 100
10³ = 1,000
10⁴ = 10,000
10⁵ = 100,000
Based on the pattern, which is equivalent to 100,000,000?

• 10²
• 10⁶
• 10⁷
• 10⁸

Spiral Review

5

Reorder

What is the correct order of operations?

• Grouping

• Exponents

• Multiplication or Division from left to right

• Addition or Subtraction from left to right

1

2

3

4

• 1
• 2
• 3
• 4

Explanation Slide...

The question is asking to solve the equation 15 - 6 + 7. Following the order of operations, we first perform subtraction and then addition. That gives us 9 + 7, which further simplifies to 16. Hence, the correct answer is 16.

Math Response

Solve:

$$15\ -\ 6\ +\ 7$$

Type answer here

Correct Answer: 16

Deg^°

Rad

Match

Match the expanded form with the correct exponent.

• $$4^3$$   

• $$4^7$$  

• $$2^5$$  

• $$5^2$$  

• $$7^4$$  

4 · 4 · 4

4 · 4 · 4 · 4 · 4 · 4 · 4

2 · 2 · 2 · 2 · 2

5 · 5

7 · 7 · 7 · 7

• 4 · 4 · 4

• 4 · 4 · 4 · 4 · 4 · 4 · 4

• 2 · 2 · 2 · 2 · 2

• 5 · 5

• 7 · 7 · 7 · 7

Multiple Choice

A way to remember the order of operations is...

• divide, multiply, subtract and bring down

• GEMA/

  GEMDAS

• tic tac toe

• rise over run

Multiple Choice

What would be my first step to simplify?
3 + 4 x 6 - 4 

• addition

• multiplication

• subtraction

• exponents

Multiple Choice

In GEMA or GEMDAS the G stands for

• Exponential properties:

  x² and √

• Additive properties:

  • + and -

• Grouping:

  ( ) [ ] { }

• Multiplicative properties:

  x and ÷

Multiple Choice

In GEMDAS the M stands for

• Exponential properties:

  x² and √

• Additive properties:

  • + and -

• Grouping:

  ( ) [ ] { }

• Multiplicative properties:

  x and ÷

Multiple Choice

True or false:
Addition ALWAYS comes before subtraction.

• True

• False

Multiple Choice

In GEMA or GEMDAS, the A stands for

• Exponential properties:

  x² and √

• Additive properties:

  • + and -

• Grouping:

  ( ) [ ] { }

• Multiplicative properties:

  x and ÷

Multiple Choice

How do you write 5 divided by 3 as a fraction?

• 5/3

• 3/5

Multiple Choice

Which of the following is means 10/7?

• 10 ÷ 7

• 7 ÷ 10

Match

Match the following fractions with their corresponding division notation.

• $$\frac{4}{5}$$

• $$\frac{8}{20}$$

• $$4\div5$$

• $$8\div20$$

• $$\frac{5}{4}$$

• $$\frac{20}{8}$$

Multiple Choice

8 (6) - 3

• 24

• 45

• 2

• 72

Reorder

Reorder the following steps taken to simplify the expression

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Spiral Review

6

Hotspot

Mark which factors 1341 are divisible by

Labelling

Place the numbers by the divisibility rule they meet.

Drag labels to their correct position on the image

20

15

14

Labelling

Place the numbers by the divisibility rule they meet.

Drag labels to their correct position on the image

20

18

15

Hotspot

Mark which factors 459 are divisible by

Hotspot

Mark which factors 1320 are divisible by

Multiple Choice

If it ends with a 0 or a 2 or a 4 or a 6 or an 8, It’s ___________!

• Even
• Odd

Multiple Choice

Odd + Odd = ?

• Even

• Odd

Multiple Choice

If it ends with a 1 or a 3 or a 5 or a 7 or a 9, It’s __________!

• even
• odd

Multiple Select

Select all the numbers divisible by 2

• 16

• 25

• 1,350

• 998

Multiple Choice

Is 1,284,604 divisible by 2?

• Yes, because the sum of the digits is 20, which is an even number

• No, because 4 is an odd number

• Yes, because 4 is an even number

• No, because the it is not divisible by 3

Multiple Choice

What is the divisibility rule for 3?

• Add up the digits. The sum must be even and divisible by 3.
• The digits must add up to 9.
• The last digit must be a 3.
• Add up the digits. The sum must be divisible by 3.

Fill in the Blank

What is the sum of the digits in 5,402?

Fill in the Blank

What is the sum of the digits of 1,402?

Multiple Choice

What is the divisibility rule for 4?

• The last two digits form a number divisible by 4

• The last digit is a number divisible by 4

• The last digit is even

• The last digit is zero

Multiple Choice

Insert the correct digit to make the following number divisible by 3.

60_2

• 1

• 2

• 3

• 5

Multiple Choice

If a number is divisible by two and three, then it is also divisible by which number?

• 6

• 4

• 2

• 3

Multiple Choice

What is the divisibility rule for 5?

• It is divisible by 2 and 3

• The last digit is a five

• The last digit is five or zero

• The last digit is zero

Multiple Choice

2520 is divisible by 6 because:

• It is divisible by 2 (even) and 5 (ends in a 0 or 5)

• The sum of the digits is 12, a multiple of 6

• It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

• The sum of the digits is even

Multiple Choice

Any whole number is divisible by 9 if the sum of the digits...

• is divisible by 9

• is divisible by 4

• ends in 0 or 5

• ends in 3, 6, or 9

Match

Match each number with the divisibility rule that corresponds.

the last digit is even or 0

the sum of the digits is divisible by 3

the last two digits are divisible by four

the last digit is cero or five

the number is divisible by both, two and three

• the last digit is even or 0

• the sum of the digits is divisible by 3

• the last two digits are divisible by four

• the last digit is cero or five

• the number is divisible by both, two and three

Multiple Choice

A number is divisible by 10 if

• It is even

• It ends in 0

• It ends in 0 or 5

• The sum of the digits is a multiple of 10

Spiral Review

7

Drag and Drop

​ Factors are ___​

Placeholder

____. Two factors are multiplied together to get a product.



Multiples are _____​

Placeholder

_____. The product of a given number and another factor multiplied together​

Drag these tiles and drop them in the correct blank above

fewer

many

more

less

equal

greater

Dropdown

To find FACTORS



Two ways to think about this…



*What can I ​

Select answer

together (factors) to get my number (product)?



* What numbers can I ​

Select answer

evenly into my number?

Labelling

Find the Factor Pairs of 18 using a T chart

Drag labels to their correct position on the image

7

6

2

18

4

Labelling

Find the Factor Pairs of 45 using a T chart

Drag labels to their correct position on the image

9

6

4

10

5

1

15

Labelling

Find the Factor Pairs of 50 using a T chart

Drag labels to their correct position on the image

50

1

2

10

6

4

5

15

Labelling

Find the Factor Pairs of 24 using a T chart

Drag labels to their correct position on the image

3

14

24

10

8

6

12

Labelling

Fill out the multiple list of 6

Drag labels to their correct position on the image

48

24

12

Math Response

10, 15, 20, 25 are multiples of _____

Type answer here

Correct Answer: 5

Deg^°

Rad

Spiral Review

8

Drag and Drop

0 and 1 are not ​

Placeholder

, and 2 is the only ​

Placeholder

prime number. All numbers that are not prime are called ​

Placeholder

.

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prime

even

composite

Fill in the Blank

​ ​ _____ NUMBERS- only have two factors,1 and itself

Fill in the Blank

__________ NUMBERS- are numbers that have more than 2 factors

Drag and Drop

FIND the ​

Placeholder

FACTORIZATION

To ways to show prime factorization 1) Ladder Diagram 2) ​

Placeholder

Diagram

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PRIME

Tree

Composite

Venn

Bar

Pie

Drag and Drop

To “FACTOR” means to find all the ​ ​

Placeholder

of a number. To do this you need to ​ .

Remember multiplication and division are ​ ​

Placeholder

operations.They “undo” each other

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Factors

Inverse

Addition

Subtraction

Exponents

Square Roots

Reorder

Reorder the following

STEPS TO PRIME FACTORIZATION

• Use divisibility rules to factor repeatedly OR try factoring using the prime numbers

        (2, 3,5, 7, 11,13,17,19)

• STOP when all your factors are prime

• Write out multiplication problem (least to greatest prime factors)

• Write in exponential form

• Check by multiplying.

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Drag and Drop

STEPS TO PRIME FACTORIZATION

1. Use ​

Placeholder

rules to factor repeatedly OR try factoring using the prime numbers

      (2, 3,5, 7, 11,13,17,19)

2. STOP when all your factors are prime

3. Write out multiplication problem (​

Placeholder

to greatest prime factors)

4. Write in ​

Placeholder

form5. Check by multiplying.

Drag these tiles and drop them in the correct blank above

divisibility

least

exponential

multiplication

factorial

addition

subtraction

division

Spiral Review

9

Drag and Drop

FINDING the Greatest Common Factor

Method 1: List Factors You can use a t ​

Placeholder

to keep your work organized.

Method 2: ​

Placeholder

Factorization

Step 1: Write the prime factorization for each number. It may be easier to write it in extended form, not with exponents.

Step 2: Circle the common factors.

Step 3: Multiply the ​

Placeholder

factors together to identify the greatest common factor.

Drag these tiles and drop them in the correct blank above

Prime

chart

common

Factor

Multiply

Circle

Divide

Add

Spiral Review

10

Fill in the Blank

We use the Least Common Multiple (LCM) when we add _________.

Drag and Drop

The LEAST COMMON MULTIPLE LCM

The smallest (least) number that is a ​ ​

Placeholder

for two or more numbers (common = ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

multiple

same

Fill in the Blank

A multiple is a number is the product of multiplying that number by another number

Multiples are what you get when you ______.

Math Response

The multiples of 2 are 2, 4, 6, 8, 10, 12, 14…

The multiples of 7 are 7,14, 21, 28, 35, 42, 29…

LEAST COMMON MULTIPLE is _________.

Type answer here

Correct Answer: 14

Deg^°

Rad

Hotspot

Mark the LEAST Common Multiple of 2 and 3

Match

Match the following

• Multiples of 3

• Multiples of 4

• Multiples of 5

3, 6, 9,12, 15, 18, 21, 24, 27, 30

4,8,12,16,20,24,28,32,36,40

5,10,15,20,25,30,35,40,45,50

• 3, 6, 9,12, 15, 18, 21, 24, 27, 30

• 4,8,12,16,20,24,28,32,36,40

• 5,10,15,20,25,30,35,40,45,50

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