Free Printable 6th Grade Review

1.

What is the value of the expression $3^2 + 4$ ?

a)

13

b)

17

c)

9

d)

12

2.

Which of the following expressions is equivalent to $6 \times (2 + 3)^2$ ?

a)

$6 \times 2 + 3^2$

b)

$6 \times 25$

c)

$36 + 9$

d)

$12 + 18$

3.

What is the prime factorization of 60?

a)

$2 \times 3 \times 10$

b)

$2^2 \times 3 \times 5$

c)

$2 \times 30$

d)

$4 \times 15$

4.

Evaluate the expression $5^3$ .

a)

15

b)

125

c)

25

d)

150

5.

What is the correct order of operations to solve the expression $2 + 3 \times (4^2 - 1)$ ?

a)

Addition, Subtraction, Multiplication, Exponents

b)

Exponents, Multiplication, Addition, Subtraction

c)

Exponents, Subtraction, Multiplication, Addition

d)

Multiplication, Exponents, Addition, Subtraction

6.

Which expression is equivalent to $4(3 + 5)^2$ ?

a)

$4 \times 3 + 5^2$

b)

$4 \times 64$

c)

$12 + 25$

d)

$4 \times 8^2$

7.

What is the value of $2^5$ ?

a)

10

b)

32

c)

25

d)

100

8.

Find the prime factorization of 84.

a)

$2^2 \times 3 \times 7$

b)

$2 \times 42$

c)

$4 \times 21$

d)

$2 \times 3 \times 14$

9.

Evaluate the expression $7 + 2^3 \times 3$ .

a)

31

b)

55

c)

23

d)

65

10.

Which of the following is an equivalent expression to $9 \times (2 + 4)^2$ ?

a)

$9 \times 6 + 4^2$

b)

$9 \times 36$

c)

$18 + 24$

d)

$9 \times 2 + 16$

11.

What is the prime factorization of 45?

a)

$3^2 \times 5$

b)

$9 \times 5$

c)

$3 \times 15$

d)

$5 \times 9$

12.

Evaluate the expression $4^2 + 3^2$ .

a)

25

b)

16

c)

20

d)

32

13.

Which expression shows the correct use of the order of operations for $2 + 3 \times 4^2$ ?

a)

$(2 + 3) \times 4^2$

b)

$2 + (3 \times 4)^2$

c)

$2 + 3 \times (4^2)$

d)

$2 + (3 \times 4^2)$

14.

What is the value of $3^3 + 4^2$ ?

a)

43

b)

37

c)

27

d)

52

15.

Find the prime factorization of 100.

a)

$2^2 \times 5^2$

b)

$10^2$

c)

$2 \times 50$

d)

$4 \times 25$

16.

Evaluate the expression $6^2 - 4^2$ .

a)

20

b)

36

c)

12

d)

52

17.

Which of the following expressions is equivalent to $5 \times (3^2 + 4)$ ?

a)

$5 \times 9 + 4$

b)

$5 \times 13$

c)

$15 + 20$

d)

$5 \times 3^2 + 20$

18.

What is the prime factorization of 72?

a)

$2^3 \times 3^2$

b)

$8 \times 9$

c)

$2 \times 36$

d)

$4 \times 18$

19.

Evaluate the expression $2^4 \times 3$ .

a)

48

b)

24

c)

12

d)

36

20.

Which of the following is an equivalent expression to $8 \times (2^3 + 1)$ ?

a)

$8 \times 9$

b)

$16 + 8$

c)

$8 \times 2^3 + 8$

d)

$64 + 8$

21.

What is the sum of 1.70+4.65?

a)

2.95

b)

5.35

c)

6.35

d)

a decimal

22.

Which addition equation has the total of 7.29?

a)

7.00+7.29

b)

4.00+0.29

c)

4.62+9.00

d)

4.18+3.11

23.

Subtract the following:
9.43-3.34

a)

12.77

b)

6.09

c)

6.90

d)

60.09

24.

987.4 - 321.70

a)

665.07

b)

605.7

c)

665.7

d)

1309.1

25.

Find the sum 3.35 + 1.4 + 3.65

a)

8.9

b)

8.22

c)

8.43

d)

8.4

26.

123.6-0.08=

a)

123.2

b)

122.8

c)

124.4

d)

123.52

27.

Lia and James went to the movies. The tickets are $3.00 each. Lia bought popcorn and a slushy for $8.50 together. James bought a slushy and nachos $12.00 together. How much money did they spend total?

a)

26.50

b)

2.650

c)

3.00

d)

53.65

28.

7.9 - 3.47=

a)

11.37

b)

4.43

c)

3.32

d)

4.37

29.

Nathan and his uncle paid $9.50 for tickets to a bike race. They bought one adult's ticket and one child's ticket. The adult's ticket cost $5.75. What was the cost of Nathan's ticket?

a)

$3.85

b)

$2.95

c)

$3.75

d)

$3.50

30.

Annie buys shoes and top for $47.82 and $13.36 She gives $100. How much change did she receive?

a)

$38.802

b)

$38.98

c)

$38.082

d)

$38.82

31.

The Bell family traveled and drove 10.9 hours; then 8.6 hours; then 12.4 hours. What is the sum?

a)

31.9 hours

b)

30 hours

c)

31 miles

d)

31.8 hours

32.

Find the difference 9.73 - 2.52

a)

7.22

b)

7.23

c)

7.21

d)

7.34

33.

2-0.43=

a)

0.45

b)

1.57

c)

0.41

d)

2.43

34.

80.93-68=

a)

12.93

b)

81.61

c)

148.93

d)

86.13

35.

2.98+5.3=

a)

2.51

b)

8.28

c)

3.63

d)

2.37

36.

Bonus: There is always a "ghost decimal" behind the ones place. In the number 24, where is the "ghost decimal" hiding?

a)

In front of the 2

b)

Between the 2 and the 4

c)

Behind the 4

d)

Behind the 2

37.

A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. How much did each friend pay for a ticket to the museum?

(a)

38.

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix?

(a)

39.

a)

F

b)

G

c)

H

d)

J

40.

Maria wants to go to the movies with her friends. Each ticket is $9.50. How much would 5 tickets cost?

a)

$47

b)

$9.50

c)

$47.50

d)

$5.50

41.

Jennifer bought 3.4 pounds of apples. She paid $.89 per pound. How much did Jennifer pay for the apples?

a)

$3.00

b)

$3.02

c)

$3.01

d)

$3.03

42.

Calculate
5.75÷0.25

a)

0.23

b)

2.3

c)

2.03

d)

23

43.

To divide 19.5÷0.31 start by moving the decimal

a)

Right two places

b)

Right one place

c)

Left two places

d)

Left one place

44.

Anita pays $20.70 to copy an 18 page report. What is the cost for each page?

a)

$1.05

b)

$1.03

c)

$1.15

d)

$1.10

45.

Rewrite the division equation:

$16\div\left(0.5\right)$

without any decimals.

a)

$160\div5$

b)

$16\div5$

c)

$160\div50$

d)

$1.6\div0.5$

46.

Rewrite as a division problem with whole numbers and solve:

$\frac{2.5}{0.25}$

a)

$\frac{25}{25\ }\ =\ 1$

b)

$\frac{25}{2.5}\ =\ 10$

c)

$\frac{250\ }{25}\ =\ 10$

d)

$\frac{2.5}{25}\ =\ 0.1$

47.

A whole number and a fraction together is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

48.

When converting an improper fraction into a mixed number, you____ the numerator by the denominator.

a)

add

b)

subtract

c)

multiply

d)

divide

49.

When converting a mixed number into an improper fraction, you ___ the whole number by the denominator.

a)

add

b)

subtract

c)

multiply

d)

divide

50.

When converting the mixed number, after you multiply the whole number by the denominator, you___ the product and the old numerator together to become a new numerator of the improper fraction.

a)

add

b)

subtract

c)

multiply

d)

divide

51.

John bought 5 1/4 bags of garden soil. He put the soil in three big pots. He put the same amount of soil in each pot. How much soil did John put in one pot?

a)

1 3/4 bags

b)

8 1/4 bags

c)

63/4 or 15 3/4 bags

d)

2 1/4 bags

52.

John divide equally 2 1/2 chocolate bars between himself and his younger brother. How much chocolate bar did each one get?

a)

5 1/2 chocolate bars

b)

1 1/2 chocolate bars

c)

4 1/2 chocolate bars

d)

1 1/4 chocolate bars

53.

In converting the improper fraction into a mixed number, after you divide the numerator by the denominator, you put the _____ as a new numerator

a)

dividend

b)

divisor

c)

quotient

d)

remainder

54.

Select the mixed number

a)

3¼

b)

2⅚

c)

7/8

d)

8/6

55.

How do you change a mixed number into a decimal? $3\frac{1}{4}$

a)

Divide 3 / 4.

b)

Divide 13 / 4.

c)

Multiply.

d)

Subtract

56.

How do you add rational fractions? $-\frac{2}{7}\ +\ 4\ \frac{1}{2}$

a)

Change Mixed numbers into improper fractions.

b)

Get common denominators and equivalent fractions.

c)

Follow Adding Rules across the top and keep the same denominator.

d)

All of the above.

57.

When Multiplying/Dividing Mixed Numbers you MUST 1st...

a)

Find the square roots.

b)

Subtract.

c)

Turn them to IMPROPER FRACTIONS!

d)

Find common denominators.

58.

When DIVIDING FRACTIONS ...

a)

Add the fractions.

b)

Get a common denominator.

c)

Keep the 1st fraction, Change to multiplication, and Flip the 2nd fraction to its reciprocal.

d)

Subtract the fractions.

59.

Whatever I do to the denominator, I must also do to the numerator when making equivalent fractions.

a)

true

b)

false

60.

A _________ is written as a whole number and a fraction.

a)

unlike denominators

b)

mixed number

c)

proper fraction

d)

common multiple

61.

The ____________________ is a common multiple of two or more denominators.

a)

equivalent

b)

simplest fraction

c)

common denominator

d)

mixed number

62.

The _____________ is the top number of a fraction.

a)

quotient

b)

denominator

c)

factor

d)

numerator

63.

I know I must _________ if the question asks for the sum.

a)

add

b)

subtract

c)

divide

d)

multiply

64.

I know I must __________ if the question asks for the difference.

a)

subtract

b)

add

c)

multiply

d)

divide

65.

Write the improper fraction as a mixed number in simplest form.
¹⁰/₃

a)

3¹/₃

b)

2³/₂

c)

³/₁₀

d)

3²/₃

66.

Write the mixed number as an improper fraction.
2³/₄ =

a)

¹¹/₄

b)

²³/₄

c)

¹¹/₃

d)

⁹/₄

67.

-2 - (-8)

a)

6

b)

-6

c)

-10

d)

10

68.

0 - 16

a)

16

b)

0

c)

-16

d)

5

69.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

70.

-10+4

a)

-14

b)

14

c)

-6

d)

6

71.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

72.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

73.

-8(0)=

a)

-8

b)

8

c)

0

d)

-80

74.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

75.

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

a)

POSITIVE

b)

NEGATIVE

c)

DEPENDS ON WHICH NUMBER IS LARGER.

76.

Multiply
(5) • (–9) • (–2)

a)

90

b)

-45

c)

-90

d)

47

77.

(-4)² = ?
Remember what squaring means to do.

a)

-8

b)

8

c)

-16

d)

16

78.

Is the product
–8 • (–3) positive or negative?

a)

negative

b)

positive

c)

both

d)

neither

79.

Multiply 7 • (–5)

a)

35

b)

-12

c)

12

d)

-35

80.

-4(-1)(-2)

a)

-8

b)

8

c)

-7

d)

7

81.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

82.

What is the absolute value of -7?

a)

7

b)

-7

c)

1/7

d)

7²

83.

Classify the Number: 2.587

a)

Integer

b)

Rational Number

c)

Whole Number

d)

Irrational number

84.

-14 could NOT be which type of number?

a)

Integer

b)

Real

c)

Rational

d)

Natural

85.

Which statement is true?

a)

Every rational number is an integer

b)

Every whole number is a counting number

c)

Every integer is a whole number

d)

Every whole number is a rational number

86.

What is the absolute value of -1.3

a)

1.3

b)

-1.3

c)

0

87.

What is the opposite of 3?

a)

-3

b)

0

c)

3

d)

1/3

88.

I 44 I

a)

44

b)

-44

89.

-6 • 9

a)

54

b)

3

c)

-54

d)

-3

90.

Tomas works as an underwater photographer. He starts at a position that is 15 feet below sea level. He ascends 9 feet because he chases a turtle and then descends 12 feet to take a photo of a coral reef. Find his position relative to sea level when he took the photo.

a)

35 feet below sea level

b)

6 feet below sea level

c)

18 feet below sea level

d)

36 feet below sea level

91.

Negative x negative =

a)

negative

b)

positive

c)

depends on which number is bigger

d)

neutral

92.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

93.

-2 - (-8)

a)

6

b)

-6

c)

-10

d)

10

94.

-9 + 9

a)

18

b)

-18

c)

0

d)

81

95.

Who is this?

a)

Aladdin

b)

Abu

c)

Bananas

d)

Muchu

96.

Who is this?

a)

Jack

b)

Michael

c)

Ryan

d)

Jack Jack

97.

During an experiment, the temperature of some water measured at -12 degrees. A few minutes later, the temperature was -23. What is the difference in temperatures?

a)

11

b)

-35

c)

35

d)

none of these

98.

On Monday the temperature was -5 degrees in the morning. The temperature rose 14 degrees throughout the day. What was the final temperature?

a)

9

b)

19

c)

-19

d)

-9

99.

When ADDing two integers with the SAME SIGN...

a)

Add and keep the same sign.

b)

Add and change the sign.

c)

Subtract and keep the same sign.

d)

Subtract and change the sign.

100.

When multiplying two numbers with the SAME SIGN...

a)

Your answer is negative

b)

Your answer is positive

c)

It depends on if they are positive or negative numbers

d)

Your answer has the same sign.

101.

When dividing two numbers with DIFFERENT signs...

a)

Your answer takes the sign of the bigger number

b)

You can't divide

c)

Your answer is positive

d)

Your answer is negative

6th Grade Review

Total questions: 101

Worksheet time: 7hrs 27mins

Similar Resources on Wayground