Name: 
 

Chapter 1 Review Grade 6 Math (Numerical Expressions and Factors)



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Find the value of the power.
 

 1. 

mc001-1.jpg
a.
20
c.
1,024
b.
625
d.
4,444
 
 
Evaluate the expression.
 

 2. 

mc002-1.jpg
a.
13
c.
12
b.
11.5
d.
3
 

 3. 

mc003-1.jpg
a.
14.5
c.
9
b.
0.2
d.
12
 

 4. 

mc004-1.jpg
a.
4
c.
52
b.
84
d.
372
 

 5. 

mc005-1.jpg
a.
8
c.
236
b.
584
d.
104
 
 
Find the GCF of the numbers using lists of factors.
 

 6. 

8, 14
a.
56
c.
5
b.
8
d.
2
 

 7. 

What is the prime factorization of the number 60?
a.
3 · 4 · 5
c.
22 · 3 · 5
b.
2 · 3 · 5
d.
2 · 32 · 5
 
 
Write the product as a power.
 

 8. 

mc008-1.jpg
a.
2 ´ 5
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
32
 
 
Name the word that matches the definition given.
 

 9. 

The ____ of a power is the repeated factor.
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 10. 

The ____ of a power indicates the number of times the base is used as a factor.
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 11. 

The square of a whole number
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 12. 

A product of repeated factors
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 13. 

An expression that contains only numbers and operations
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 14. 

A diagram that shows the prime factorization of a number
a.
order of operations
d.
factor tree
b.
factor pair
e.
Venn diagram
c.
prime factorization
f.
common factors
 
 
Write the prime factorization of the number.
 

 15. 

98
a.
mc015-1.jpg
c.
mc015-3.jpg
b.
mc015-2.jpg
d.
mc015-4.jpg
 
 
Find the LCM of the numbers using lists of multiples.
 

 16. 

4, 7
a.
28
c.
7
b.
56
d.
11
 

Numeric Response
 
 
Find the value of the power.
 

 17. 

nr017-1.jpg

 
 
Evaluate the expression.
 

 18. 

23 + (8 –4) ¸ 4

 

 19. 

nr019-1.jpg

 

 20. 

nr020-1.jpg

 
 
Find the GCF of the numbers using lists of factors.
 

 21. 

12, 32

 
 
Find the LCM of the numbers using prime factorizations.
 

 22. 

18, 24

 
 
Find the GCF of the numbers using prime factorizations.
 

 23. 

54, 84

 

 24. 

A florist is making flower arrangements with 32 roses and 40 tulips. Each arrangement must be identical. What is the greatest number of arrangements the florist can make if all of the flowers are used?

 

Short Answer
 

 25. 

A football coach divides 42 players into equal groups for a warm up drill. Each group should have at least 5 players but no more than 8 players. What are the possible group sizes?
 

 26. 

The table shows several powers of 3. Copy and complete the table. Describe what happens to the value of the power as the exponent decreases. Use this pattern to find the value of sa026-1.jpg.
Power
sa026-2.jpg
sa026-3.jpg
sa026-4.jpg
sa026-5.jpg
sa026-6.jpg
sa026-7.jpg
Value
729
243
    
 

 27. 

Is 8 a perfect square? Is 64 a perfect square? Explain.
 

 28. 

Error Analysis  Describe and correct the error in evaluating the expression.
sa028-1.jpg
sa028-2.jpg
= sa028-3.jpg
 = 39
 
 
List the factor pairs of the number.
 

 29. 

56
 

 30. 

An art teacher is organizing identical groups of supplies using 32 red pencils, 48 green pencils, and 24 blue pencils. What is the greatest number of groups of supplies that the teacher can make if there are no colored pencils left over? How many of each color pencil are in each group of supplies?
 



 
Check Your Work     Start Over