6th Grade CAT 2 - Worksheet & Printable

Which expression is equivalent to 15 + 6?

A

3(12 + 3)

B

5(3 + 6)

C

3(5 + 2)

D

5(15 + 1)

Standard: 6.EE.A.3

Domain: Expressions & Equations

Theme: Apply and extend previous understandings of arithmetic to algebraic expressions

Description: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Which two expressions are equivalent?

A

7 + 21v and 2(5 + 3v)

B

7 + 21v and 3(4 + 7v)

C

7 + 21v and 7(1 + 3v)

D

7 + 21v and 7(7 +21v)

Standard: 6.EE.A.4

Domain: Expressions & Equations

Theme: Apply and extend previous understandings of arithmetic to algebraic expressions

Description: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Which line plot accurately represents the data below?
{4.2, 3.6, 4.7, 5.3, 4.3, 3.5, 4.2, 5.1, 5.3, 3.8, 3.6, 4.3, 5.2, 3.0}

A

B

C

D

Standard: 6.SP.B.4

Domain: Statistics & Probability

Theme: Summarize and describe distributions

Description: Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

A school has an enrollment of 600 students. 330 of the students are girls. Express the fraction of students who are boys in lowest terms.

A

12

20

B

11

20

C

9

20

D

13

20

Standard: 6.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Understand ratio concepts and use ratio reasoning to solve problems

Description: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."

Simplify the following problem. Do not solve.

14÷28


217

A

21x7


1428

B

2x1


34

C

1

D

10

Standard: 6.NS.A.1

Domain: The Number System

Theme: Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Description: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?


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