Quiz about 6th Grade Math Review

Question 1

What is the least common multiple of 8 and 10?

Accepted Answer

40

Answer

20

Answer

80

Answer

800

Question 2

What is the greatest common factor of 30 and 84?

Accepted Answer

6

Answer

2

Answer

4

Answer

14

Question 3

Jamie has 36 notebooks and 96 pencils. He wants to make packages to send to his cousins. Each package must have the same number of notebooks and pencils. What is the greatest number of packages that Jamie could make?

Accepted Answer

12

Answer

3

Answer

6

Answer

18

Question 4

Which of the following answer choices correctly expresses this sum as a multiple of a sum of two whole numbers with no common factor using the Distributive Property?

45 + 75

Accepted Answer

15(3 + 5)

Answer

5(9 + 15)

Answer

5(9 + 17)

Answer

15(3 + 7)

Question 5

Which answer choice correctly expresses the sum below using the Distributive Property?

42 + 96

Accepted Answer

6(7 + 16)

Answer

6(7 + 11)

Answer

7(6 + 13)

Answer

7(6 + 16)

Question 6

Marshall's teacher explains that when plotting opposite numbers on a number line, both points will always be __________.

Accepted Answer

the same distance from zero on opposite sides of zero

Answer

to the left of zero

Answer

the same distance from zero on the same side of zero

Answer

to the right of zero

Question 7

Sasha represented 5 and its opposite on a number line below. Which of the following is true?

Accepted Answer

Sasha made a mistake in showing the opposite of 5 as 0 since the opposite of 5 is -5. She also incorrectly marked 6 instead of 5 on the number line.

Answer

Sasha correctly showed the opposite of 5 to be 0 but marked the points 6 and 0.

Answer

Sasha correctly marked 5 and its opposite, 0, on the number line.

Answer

Sasha made a mistake in showing the opposite of 5 as 0 since the opposite of 5 is -5.

Question 8

Mrs. Shields shows her class how to locate ordered pairs on a coordinate plane. Jesse is asked to locate the point (4, -2). Which quadrant will Jesse's point be located in?

Accepted Answer

IV

Answer

I

Answer

II

Answer

III

Question 9

Mr. Norris is teaching his class to plot coordinate pairs on a plane. Samantha is locating the quadrant for (3, -1). This point is in quadrant __________.

Accepted Answer

IV because the x-coordinate is positive and the y-coordinate is negative

Answer

I because the x-coordinate is positive and the y-coordinate is negative

Answer

I because the x-coordinate is negative and the y-coordinate is positive

Answer

IV because the x-coordinate is negative and the y-coordinate is positive

Question 10

Which coordinate pair will be a direct reflection over the y-axis from (-12, 1.5) on a coordinate plane?

Accepted Answer

(12, 1.5)

Answer

(1.5, -12)

Answer

(12, -1.5)

Answer

(-1.5, 12)

Question 11

Tracy's bank account reads -$2.00. Which of the following statements is true?

Accepted Answer

Tracy spent $2.00 more than she had.

Answer

Tracy has $2.00 in her bank account.

Answer

Tracy has $20.00 in her bank account.

Answer

Tracy spent $20.00 more than she had.

Question 12

In a band camp, 36 students play a percussion instrument, and 96 students play a woodwind instrument. The director of a band camp wants to divide the students into small groups with the same number of students from each of the two sections in each group. What is the greatest number of groups that can be made and how many of each instrument will be in each group?

Accepted Answer

12 groups that include 3 percussion and 8 woodwind

Answer

12 groups that include 6 percussion and 24 woodwind

Answer

4 groups that include 9 percussion and 24 woodwind

Answer

4 groups that include 12 percussion and 30 woodwind

Question 13

Rick wrote the following steps to find the greatest common factor of 42 and 70.

Step 1: List the factors of 70: 1, 2, 7, 10, 35, and 70.

Step 2: List the factors of 42: 1, 2, 3, 6, 7, 14, 21, and 42.

Step 3: List the common factors 70 and 42: 1 and 2.

Step 4: Find the greatest common factor: 2.

Which statement is true?

Accepted Answer

Rick made a mistake. Rick did not include 5 and 14 as the factors of 70. The common factors of 42 and 70 are 1, 2, 7, and 14. So the greatest common factor is 14 not 2.

Answer

Rick made a mistake. Rick did not include 21 as a factor of 70. The common factors of 42 and 70 are 1, 2, and 21. So the greatest common factor is 21 not 2.

Answer

Rick made a mistake. Rick incorrectly listed the multiples instead of factors. The greatest common factor is 88 not 2.

Answer

Rick made a mistake. Rick incorrectly listed the multiples instead of factors. The greatest common factor is 1,344 not 2.

Question 14

Mr. Yeng gave Sierra and Caleb an equal number of tokens. Caleb separated his tokens into 8 equal groups. Sierra separated her tokens into 6 equal groups. What is the least number of tokens that Mr. Yeng gave to each of his students?

Accepted Answer

24 tokens

Answer

2 tokens

Answer

14 tokens

Answer

48 tokens

Question 15

Which of the following is equivalent to the expression below?

36 + 8

Accepted Answer

4(9 + 2)

Answer

2(18 + 8)

Answer

4(9 + 8)

Answer

2(18 + 2)

Question 16

Which pair of quantities can be represented by a positive and negative number?

Accepted Answer

positive number: climbing

negative number: resting

Answer

positive number: height

negative number: weight

Answer

positive number: height

negative number: volume

Question 17

Jose's checking account had a balance of $257.89. On Friday, he deposited $65, and on Sunday, he took out $15 for lunch. Which of the following answers represents both transactions and gives the resulting balance in Jose's checking account?

Accepted Answer

+65, -15

Answer

+65, +15

Answer

-65, +15

Answer

-65, -15

Question 18

Players on a football field are similar to numbers on a number line. Gaining yards is like moving right on a number line, while losing yards is like moving left. The last four times one team had the ball, it lost 4 yards, gained 2 yards, lost 5 yards, and lost 2 yards. If the team started on its own 32 yard line, which of the following sets of integers represents their last four possessions and correctly tells what yard line they are on after four possessions?

Accepted Answer

-4, +2, -5, -2

Answer

-4, -2, +5, +2

Answer

-4, +2, -5, +2

Answer

+4, +2, +5, +2

Question 19

A point at a certain distance above sea level is represented by 77 feet. Which of the following represents a point at the same distance below sea level?

Accepted Answer

-77 feet

Answer

77 feet

Answer

0 feet

Answer

-154 feet

Question 20

Paula is having a difficult time understanding negative numbers. When a television program gave the weather forecast and predicted it would be -2 degrees on Saturday, she asked her mom what that meant. Paula's mom explains that the temperature will be __________.

Accepted Answer

2 degrees below zero

Answer

twice as cold as yesterday

Answer

twice as warm as yesterday

Answer

2 degrees above zero

Question 21

Look at the butterfly.

Which of the following statements explains how the butterfly can be moved -5 on the number line?

Accepted Answer

Flip the current number line over at zero, and count 5 places to the left of zero.

Answer

Count 5 places to the right from its current location.

Answer

Imagine a reflection of the current number line at zero, and count 5 places to the right of zero.

Answer

Count 5 places to the left from its current location.

Question 22

Which of the following situations could not be described with a pair of opposite numbers?

Accepted Answer

depositing $10 in the bank and withdrawing $20 from the bank

Answer

buying a sweater for $25.00 and then returning it

Answer

gaining 10 yards in a football game and then losing 10 yards

Answer

getting a 50-point question correct in a quiz game and then getting one incorrect

Question 23

The map of a popular hiking trail is placed on a coordinate grid, and all the labeled points have a negative x-coordinate and a positive y-coordinate. In which quadrant do the points labeled on the map lie?

Accepted Answer

second quadrant

Answer

first quadrant

Answer

third quadrant

Answer

fourth quadrant

Question 24

Look at the coordinate grid with points A and B.

Which of the following is true?

Accepted Answer

The x-coordinates of the two points are opposites.

Answer

The y-coordinates of the two points are opposites.

Answer

The points have different x-coordinates, and the sign of the y-coordinates are opposites.

Answer

The points have different y-coordinates, and the sign of the x-coordinates are opposites.

Question 25

If the point (-2, -4) is reflected about the y-axis, what will be the new location of the point?

Accepted Answer

(2, -4)

Answer

(2, 4)

Answer

(-2, -4)

Answer

(-2, -4)

Question 26

When Francisco woke up this morning, it was 26 degrees outside. By lunchtime, the temperature had dropped 28 degrees. Which thermometer shows the temperature in Francisco's backyard at lunchtime?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 27

On a number line, __________.

Accepted Answer

|-10| = 10 because -10 is 10 spaces from 0

Answer

|-10| = 0 because -10 is the same as -|-10|

Answer

|-10| = 10 because 10 is the opposite of -10

Answer

|-10| = -10 because -10 is 10 spaces to the left of 0

Question 28

Which of the following temperatures is the COLDEST?
P: -13
Q: 59
R: -15
S: 32

Accepted Answer

R

Answer

P

Answer

Q

Answer

S

Question 29

The distance to the beach is fifty miles more than twice the distance to the mountains. If m represents the distance to the mountains, which expression represents the distance to the beach?

Accepted Answer

2m + 50

Answer

50m

Answer

50m + 2

Answer

100m + 50

Question 30

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

Accepted Answer

-5, -1, 0, 1, 3, 10, 16

Answer

-1, -5, 0, 1, 3, 10, 16

Answer

16, 10, 3, 1, 0, -1, -5

Answer

0, -1, 1, 3, -5, 10, 16

Question 31

Which letter matches the coordinate (4, -6)?

Accepted Answer

Z

Answer

G

Answer

K

Answer

None of the above

Question 32

An expression is shown.

6n

What is the value of the expression if n=7?

Accepted Answer

42

Answer

67

Answer

13

Answer

48

Question 33

An expression is shown.

5n

What word describes the 5 in the expression?

Accepted Answer

Coefficient

Answer

Constant

Answer

Variable

Answer

Exponent

Question 34

What is the absolute value of | -7 |?

Accepted Answer

7

Answer

-7

Answer

-7 and 7

Question 35

Which of these numbers is a multiple of 4?

Accepted Answer

20

Answer

2

Answer

9

Answer

15

Question 36

What are the multiples of 9?

Accepted Answer

9, 18, 27, 36, 45, 54

Answer

9, 12, 15, 18, 21

Answer

3, 6, 9, 12, 15, 18

Answer

9, 19, 29, 39, 49, 59

Question 37

The number on the top of a fraction is called what?

Accepted Answer

Numerator

Answer

Denominator

Question 38

The number on the bottom of a fraction is called what?

Accepted Answer

Denominator

Answer

Numerator

Question 39

Translate 3f into a verbal description.

Accepted Answer

3 multiplied by f

Answer

3 added to f

Answer

3 to the power of f

Answer

3 plus f

Question 40

The sum of 6 and x

Accepted Answer

x + 6

Answer

6/x

Answer

x + 4

Answer

6x

Question 41

What is the opposite of -8?

Accepted Answer

8

Answer

-8

Answer

0

Answer

1/8

Question 42

2 times the sum of y and 5

Accepted Answer

2(y+5)

Answer

62

Answer

2(6y)

Question 43

53

Accepted Answer

125

Answer

15

Answer

25

Answer

120

Question 44

2³ + 3 x 6

Accepted Answer

26

Answer

24

Answer

54

Answer

66

Question 45

19.8 + 4.37

Accepted Answer

24.17

Answer

24.07

Answer

14.17

Answer

23.17

Question 46

14 - 3.2

Accepted Answer

10.8

Answer

16.3

Answer

11.3

Answer

11.8

Question 47

7.5 x 5.3

Accepted Answer

39.75

Answer

0.3975

Answer

3.975

Answer

397.5

Question 48

5.5 x 10

Accepted Answer

55

Answer

0.55

Answer

5.5

Answer

550

Question 49

In which quadrant is the following point?
(-3, 12)

Accepted Answer

Quadrant II

Answer

Quadrant I

Answer

Quadrant III

Answer

Quadrant IV

Question 50

The distance a number is from zero on a number line.

Accepted Answer

absolute value

Answer

algorithm

Answer

minuend

Answer

quotient

Question 51

A number with more than two factors

Accepted Answer

Composite Number

Answer

Real Number

Answer

Square Number

Answer

Prime Number

Question 52

A number that can be multiplied together to get another number

Accepted Answer

Factor

Answer

Multiple

Answer

Composite Number

Answer

Prime Number

Question 53

A number with exactly two factors, one and itself

Accepted Answer

Prime Number

Answer

Composite Number

Answer

Real Number

Answer

Absolute Value

Question 54

An equation is ....

Accepted Answer

A mathematical sentence stating that two expressions are equal

Answer

A mathematical sentence that compares the values of two expressions using an inequality symbol

Answer

A variable that provides the input values of a function

Question 55

the number that comes before the variable

Accepted Answer

coefficient

Answer

constant

Answer

exponent

Answer

inverse

Question 56

What is the value of 5³ ?

Accepted Answer

125

Answer

15

Answer

25

Answer

100

Question 57

Which of these numbers is a multiple of 18?

Accepted Answer

54

Answer

2

Answer

6

Answer

35

Question 58

A set of whole numbers and their opposites.

Accepted Answer

integer

Answer

quadrant

Answer

coordinate plane

Answer

absolute value

Question 59

The four regions in a coordinate plane separated by the x-axis and the y-axis.

Accepted Answer

quadrant

Answer

coordinate plane

Answer

absolute value

Answer

integer

Question 60

A plane in which a horizontal number line & a vertical number line intersect at the origin

Accepted Answer

coordinate plane

Answer

quadrant

Answer

integer

Answer

absolute value

Question 61

A pair of numbers used to locate a point in the coordinate system

Accepted Answer

ordered pair

Answer

coordinate plane

Answer

integer

Answer

evaluate

Question 62

The number that indicates how many times the base is used as a factor.

Accepted Answer

exponent

Answer

expression

Answer

variable

Answer

order of operations

Question 63

The rules for evaluating an expression involving more than one operation

Accepted Answer

order of operations

Answer

evaluate

Answer

expression

Answer

variable

Question 64

A symbol, usually a letter, used to represent a number.

Accepted Answer

variable

Answer

expression

Answer

quadrant

Answer

order of operations

6th Grade Math Review

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