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Common Core 6th Grade Math Review - Printable Math Worksheets 6th Grade - Wayground

Common Core 6th Grade Math Review

Emalie Dunn

Created by Emalie Dunn

20 questions

6th Grade

Math

Updated Sept 2026

Common Core 6th Grade Math Review is a free printable worksheet with an answer key for Grade 6 mathematics. Its 20 questions combine multiple-choice, multiple-select, and fill-in-the-blank formats to review translating verbal relationships into algebraic expressions, identifying equivalent expressions and terms, evaluating and solving equations, and writing equations from real-world situations. Students also compare integers and absolute values, identify negative change, plot and interpret points and turns on the coordinate plane, and complete division, decimal addition, and decimal multiplication problems. The varied question types require students to recognize mathematical representations, select appropriate operations, and calculate accurately. Use this review to check understanding across several Grade 6 skills, prepare students for an assessment, or identify concepts that need reteaching before assigning targeted practice.

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Common Core 6th Grade Math Review

Total questions: 20

Name
Class
Date
1.

Francis scores 3 more than 2 times the number of points that Riad scores.

If r represents the number of points Riad scores, which expression represents the

number of points Francis scores?

a)

5r

b)

6r

c)

2r + 3

d)

3r + 2

2.

Which pair of expressions are equivalent?

a)

10(x + 4)

and

10x + 14

b)

3(x + 5)

and

3x + 5

c)

x + x + x + 1 + 1 + 1 and

3(x + 1)

d)

x + x + x + x + 1 + 1 + 1 + 1

and

8x

3.

Which expressions are a sum of two terms?

Select all the correct answers.

a)

2t

b)

(22)(x)\left(2^2\right)\left(x\right)  

c)

4 + 3m

d)

2x + 3y

e)

6n + 2 + p

4.

Consider the set x = {5, 3, 1, 0}. Which value of x makes 15 – 3x = 0 true?

a)

x = 5

b)

x = 3

c)

x = 1

d)

x = 0

5.

Nanette goes fishing. Of the fish Nanette catches, 23\frac{2}{3}  

are catfish. She catches 12 fish

that are not catfish.

Which equation and solution represent the total number of fish, x, Nanette catches?

a)

13x=12\frac{1}{3}x=12  

x=36

b)

23x=12\frac{2}{3}x=12  

x=18

c)

x=(13)(12)+12x=\left(\frac{1}{3}\right)\left(12\right)+12  

x=16

d)

x=(23)(12)+12x=\left(\frac{2}{3}\right)\left(12\right)+12

x=20

6.
The table shows how much money Alfredo makes for every car he washes. Which equation shows how much money, m, Alfredo makes,…

The table shows how much money Alfredo makes for every car he washes.

Which equation shows how much money, m, Alfredo makes, if he washes c cars?

a)

c = 12m

b)

m = 12c

c)

c = m + 12

d)

m = c + 12

7.

Consider the equation 21=m+14 1621=m+14\ \frac{1}{6}  

Which step will help to solve this equation?

a)

Add 141614\frac{1}{6}  

on both sides of the equation.

b)

Subtract 141614\frac{1}{6}

on both sides of the equation.

c)

Multiply both sides of the equation by 141614\frac{1}{6}

d)

Divide both sides of the equation by 141614\frac{1}{6}

8.
Which point on the number line has the greatest absolute value?

Which point on the number line has the greatest absolute value?

a)

point A

b)

point B

c)

point C

d)

point D

9.

Which statement describes a negative change?

a)

A person deposits $75 in a bank account.

b)

The temperature changes from –9° to –3°.

c)

The charge on an atom changes from +3 to +1.

d)

The barometer changes from 32.06 inches to 32.18 inches.

10.

Dena, Barb, Ryan, and Joe played a game where the lowest value wins.

Dena’s score was 3. Barb’s score was –6. Ryan’s score was –4. Joe’s score was –2.

Which statement is true?

a)

Joe’s score beat Dena’s score.

b)

Ryan’s score beat Barb’s score.

c)

Joe had the worst score.

d)

Dena won the game.

11.
What are possible coordinates of point F?

What are possible coordinates of point F?

a)

(0.4, 0.5)

b)

(–0.4, 0.5)

c)

(0.5, –0.2)

d)

(0.5, –0.4)

12.
Jane walks 30 yards in a rectangular pattern. The graph displays her starting point and first turning point. Each unit…

Jane walks 30 yards in a rectangular pattern. The graph displays her starting point and first turning point. Each unit represents 1 yard.

At what other points will Jane turn to return to her starting point?

a)

(1, 5) and (1, –3)

b)

(5, 0) and (–3, 0)

c)

(2, 5) and (2, –3)

d)

(–1, 0) and (–3, 0)

13.

456 ÷ 19 =

(a)  

14.

70.933 + 1.231 =

(a)  

15.

32.7 × 4.9 =

(a)  

16.

What is the value of 10,764 ÷ 23?

(a)  

17.

What is the value of 34.8 × 6?

(a)  

18.

What is the difference of 18.36 and 7.9?

(a)  

19.

Seawater contains salt. Because of this, seawater freezes only at temperatures colder than 2 degrees below zero on the Celsius scale.

Let t represent the temperature of seawater in degrees Celsius. Which inequality

represents the temperatures at which seawater freezes?

a)

t < –2

b)

t > –2

c)

t < 2

d)

t > 2

20.

An airline company allows passengers to bring a suitcase on the plane at no extra

charge if the weight of the suitcase, w, is less than 50 pounds.

Which inequality and number line represent the solution set of when a passenger can bring a suitcase on the plane at no extra charge?

a)
An airline company allows passengers to bring a suitcase on the plane at no extra charge if the weight of the suitcase, w,…
b)
An airline company allows passengers to bring a suitcase on the plane at no extra charge if the weight of the suitcase, w,…
c)
An airline company allows passengers to bring a suitcase on the plane at no extra charge if the weight of the suitcase, w,…
d)
An airline company allows passengers to bring a suitcase on the plane at no extra charge if the weight of the suitcase, w,…
WaygroundAnswer Key

Common Core 6th Grade Math Review

Total questions: 20

1.
c)

2r + 3

2.
c)

x + x + x + 1 + 1 + 1 and

3(x + 1)

3.
c)

4 + 3m

, d)

2x + 3y

4.
a)

x = 5

5.
a)

13x=12\frac{1}{3}x=12  

x=36

6.
b)

m = 12c

7.
b)

Subtract 141614\frac{1}{6}

on both sides of the equation.

8.
a)

point A

9.
c)

The charge on an atom changes from +3 to +1.

10.
a)

Joe’s score beat Dena’s score.

11.
d)

(0.5, –0.4)

12.
c)

(2, 5) and (2, –3)

13.
24
14.
72.164
15.
160.23
16.
468
17.
208.8
18.
10.46
19.
a)

t < –2

20.
d)

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FAQs

What does this Grade 6 math review worksheet cover?

This worksheet reviews Grade 6 skills through 13 multiple-choice questions, one multiple-select question, and six fill-in-the-blank problems. Students translate verbal relationships into expressions and equations, identify equivalent expressions and sums of terms, solve equations, work with integers and absolute value, interpret coordinate-plane points, and calculate with whole numbers and decimals. Completing the mixed-format items helps students choose representations, operations, and solutions rather than relying on one repeated procedure.

How can I use this worksheet to teach Grade 6 algebra and coordinate-plane skills?

Use the multiple-choice items as guided practice: have students underline relationship words in prompts such as “3 more than 2 times,” then explain how those words become an expression. Ask students to justify why two expressions are equivalent and to name the inverse operation needed for an equation before solving independently. For the coordinate-plane items, have students identify the signs of each coordinate and compare locations before discussing the rectangular path problem. Finish with the fill-in-the-blank computation items as an independent accuracy check.

What mistakes should I watch for on this Grade 6 math review worksheet?

Watch for students reversing the order of quantities in verbal expressions, distributing incorrectly when checking equivalent expressions, or selecting an expression with the wrong number of terms. In equation items, students may use the wrong inverse operation or fail to apply an operation to both sides. Other likely errors include confusing a number’s value with its absolute value, reversing the x- and y-coordinates, misreading negative coordinate signs, and misaligning decimal places in addition or multiplication.

How do I assign and grade this worksheet?

This Grade 6 math review is available as a printable PDF and as a digital quiz on Wayground, so you can use the same set of algebra, integer, coordinate, and computation questions for paper or online practice. It includes a complete answer key for the multiple-choice, multiple-select, and fill-in-the-blank items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this Grade 6 math review worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so algebraic expressions, coordinate pairs, and decimal calculations have enough visual room. You can also enable a dyslexia-friendly font for students who benefit from that presentation. Translation is available when students need the verbal algebra and word-problem prompts in another language.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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