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Worksheets6th Grade Math Review
Total questions: 85
Worksheet time: 1hrs 4mins
What is the least common multiple of 8 and 10?
20
40
80
800
What is the greatest common factor of 30 and 84?
2
4
6
14
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?
3
6
12
18
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
5(9 + 15)
5(9 + 17)
15(3 + 5)
15(3 + 7)
Which answer choice correctly expresses the sum below using the Distributive Property?
42 + 96
6(7 + 11)
6(7 + 16)
7(6 + 13)
7(6 + 16)
On Thursday, it was 31 degrees below zero in North Pole, Alaska. Which of the following represents this temperature?
31˚
3.1˚
-31˚
-3.1˚
Marshall's teacher explains that when plotting opposite numbers on a number line, both points will always be __________.
to the left of zero
the same distance from zero on the same side of zero
the same distance from zero on opposite sides of zero
to the right of zero
Sasha represented 5 and its opposite on a number line below. Which of the following is true?
Sasha correctly showed the opposite of 5 to be 0 but marked the points 6 and 0.
Sasha correctly marked 5 and its opposite, 0, on the number line.
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.
Sasha made a mistake in showing the opposite of 5 as 0 since the opposite of 5 is -5.
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?
I
II
III
IV
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 __________.
I because the x-coordinate is positive and the y-coordinate is negative
I because the x-coordinate is negative and the y-coordinate is positive
IV because the x-coordinate is negative and the y-coordinate is positive
IV because the x-coordinate is positive and the y-coordinate is negative
Which coordinate pair will be a direct reflection over the y-axis from (-12, 1.5) on a coordinate plane?
(1.5, -12)
(12, -1.5)
(-1.5, 12)
(12, 1.5)
Tracy's bank account reads -$2.00. Which of the following statements is true?
Tracy has $2.00 in her bank account.
Tracy has $20.00 in her bank account.
Tracy spent $20.00 more than she had.
Tracy spent $2.00 more than she had.
Mrs. Leonardo painted a number line on the ground and labeled it with integers. She asked Karen to stand at 0 and asked Dante to stand 6 units away. Dante can be standing __________.
only on 6
only on –6
on either 6 or –6
on 6, -6, 12, or -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?
12 groups that include 6 percussion and 24 woodwind
4 groups that include 9 percussion and 24 woodwind
12 groups that include 3 percussion and 8 woodwind
4 groups that include 12 percussion and 30 woodwind
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?
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.
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.
Rick made a mistake. Rick incorrectly listed the multiples instead of factors. The greatest common factor is 88 not 2.
Rick made a mistake. Rick incorrectly listed the multiples instead of factors. The greatest common factor is 1,344 not 2.
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?
2 tokens
14 tokens
24 tokens
48 tokens
Which of the following is equivalent to the expression below?
36 + 8
4(9 + 2)
2(18 + 8)
4(9 + 8)
2(18 + 2)
Which pair of quantities can be represented by a positive and negative number?
positive number: climbing
negative number: resting
positive number: climbing
negative number: resting
positive number: height
negative number: weight
positive number: height
negative number: volume
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?
+65, +15
-65, +15
+65, -15
-65, -15
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?
-4, +2, -5, -2
-4, -2, +5, +2
-4, +2, -5, +2
+4, +2, +5, +2
The temperature in Fairbanks, Alaska was -36°F. On the same day, the temperature in Phoenix, Arizona was 71°F. The temperature in Fairbanks was __________.
lower than in Phoenix since all negative numbers are less than all positive numbers
higher than in Phoenix since all negative numbers are more than all positive numbers
lower than in Phoenix since 3 is less than 7
higher than in Phoenix since 6 is greater than 1
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?
77 feet
0 feet
-77 feet
-154 feet
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 __________.
twice as cold as yesterday
twice as warm as yesterday
2 degrees below zero
2 degrees above zero
Look at the butterfly.
Which of the following statements explains how the butterfly can be moved -5 on the number line?
Count 5 places to the right from its current location.
Imagine a reflection of the current number line at zero, and count 5 places to the right of zero.
Count 5 places to the left from its current location.
Flip the current number line over at zero, and count 5 places to the left of zero.
Which of the following situations could not be described with a pair of opposite numbers?
depositing $10 in the bank and withdrawing $20 from the bank
buying a sweater for $25.00 and then returning it
gaining 10 yards in a football game and then losing 10 yards
getting a 50-point question correct in a quiz game and then getting one incorrect
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?
first quadrant
second quadrant
third quadrant
fourth quadrant
Look at the coordinate grid with points A and B.
Which of the following is true?
The x-coordinates of the two points are opposites.
The y-coordinates of the two points are opposites.
The points have different x-coordinates, and the sign of the y-coordinates are opposites.
The points have different y-coordinates, and the sign of the x-coordinates are opposites.
If the point (-2, -4) is reflected about the y-axis, what will be the new location of the point?
(2, 4)
(2, -4)
(-2, -4)
(-2, -4)
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?
On a number line, __________.
|-10| = 0 because -10 is the same as -|-10|
|-10| = 10 because 10 is the opposite of -10
|-10| = 10 because -10 is 10 spaces from 0
|-10| = -10 because -10 is 10 spaces to the left of 0
P: -13
Q: 59
R: -15
S: 32
a. 3²= 6
b. 5³= 15
c. 8²= 64
d. 4³= 64
[10, -5, 3, 16, -1, 0, 1]
An expression is shown.
6n
What is the value of the expression if n=7?
67
13
42
48
An expression is shown.
5n
What word describes the 5 in the expression?
Coefficient
Constant
Variable
Exponent
53
15
25
125
120
33 - 18 ÷ 2
18
4
5
4.5
23 + 3 x 6
24
54
66
26
3/7 ÷ 5/8
15/56
15/48
24/30
24/35
19.8 + 4.37
24.17
24.07
14.17
23.17
14 - 3.2
16.3
11.3
10.8
11.8
7.5 x 5.3
0.3975
3.975
39.75
397.5
22.8 ÷ 1.2
0.19
1.9
19
18
5.5 x 10
0.55
5.5
55
550
(-3, 12)
An equation is ....
A mathematical sentence that compares the values of two expressions using an inequality symbol
A variable that provides the input values of a function
A mathematical sentence stating that two expressions are equal
the number that comes before the variable
coefficient
constant
exponent
inverse
6
35
54
10 - 7 + 8 ÷ 1
Solve
20-(2+4) ÷ 3
18
4
7
17
Write the expression using exponents, then solve.
6 x 6 x 6 x 6
6x4=24
64= 1296
64= 64
46= 256
Evaluate
y + (y-2) + 6 if y=20
44
366
25
0
Find the value of the expression when n=7.
n-5
1.4
12
-2
2
