Mathematics Grade 6 Unit 5 Area And Volume Answer Key

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Free Math Worksheets for Grade 7

This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math program, but go especially well with IXL's 7th grade math curriculum.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.

In seventh grade, students will study pre-algebra topics, such as integer arithmetic, simplifying expressions, the distributive property, and solving equations & inequalities. They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.

Introduction to algebra

The worksheets in this introductory section correspond with Math Mammoth Grade 7, Chapter 1, and don't involve negative numbers.

Order of operations

Review: expressions with exponents
Solve in the correct order: two or three operations
Solve in the correct order: three or four operations
Solve in the correct order: three or four operations with decimal numbers (round to two decimal digits)

Expressions

Evaluate simple expressions
Write a number expression from a verbal expression
Simplify expressions (by combining like terms; no negative numbers)
Multiply using the distributive property
Factor the expressions
Simplify expressions - no negative numbers (for example 4w + 2w or c · 3 · c · c · 7)

Equations

One-step equations with whole numbers (no negative numbers involved)

Integers

Number line graphs and simple inequalities involving integers

Plot an inequality or write the inequality that matches the graph — numbers from −20 to 20
Plot an inequality or write the inequality that matches the graph — numbers from −50 to 50
Plot an inequality or write the inequality that matches the graph — numbers from −100 to 100

Addition and subtraction

Add two integers (-10 to 10)
Add two integers (-30 to 30)
Add three integers
Add four integers
Add integers: missing number (easy)
Add integers: missing number (medium)

Subtract two integers (-10 to 10)
Subtract three integers (-30 to 30)
Subtract integers: missing number
Subtract three integers
Subtract four integers

Mixed addition and subtraction problems (within -20 and 20)
Challenge: mixed addition and subtraction problems: missing numbers

Multiplication & Division

Multiply two integers: easy
Multiply two integers: medium
Simple missing factor problems

Multiply whole tens
Multiply three integers
Multiply four integers

Simple division of integers
Simple division of integers, missing dividend or divisor

Mixed multiplication and division problems

Primary Grade Challenge Math cover

Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter's questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

Many operations etc.

Two operations with integers
Two or three operations with integers
Simplify expressions (for example −6z + z − 5 or −7v ³ · v ²)
Solve simple equations involving integers

One-step equations

Solve the simplest equations involving integers
Solve one-step equations involving integers

Rational numbers

Convert decimals to fractions and vice versa

Convert decimals to fractions or mixed numbers (up to millionths)
Convert fractions and mixed numbers into decimals (easy, varied denominators)
Convert proper fractions to decimals (denominators are powers of ten)
Convert fractions & mixed numbers to decimals (denominators powers of ten)
Convert fractions to decimals using long division
Convert fractions to decimals - mixed practice

Decimal Addition and Subtraction

Add two decimals (easy) (includes negative decimals)
Add two decimals (includes negative decimals)
Add three decimals (easy) (includes negative decimals)
Add decimals (challenge) (includes negative decimals)

Subtract decimals (easy)
Subtract decimals (medium)
Subtract decimals (challenge)

Decimal Multiplication and division

Multiply two decimals — mental math (includes negative decimals)
Multiply three decimals — mental math (includes negative decimals)
Multiply two decimals using the multiplication algorithm (includes negative decimals)

Divide decimals — long division

Key to Decimals workbook series

Key to Decimals Workbooks

This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.

The set includes books 1-4.

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Fraction addition and subtraction

Add or subtract two fractions - easy
Add or subtract two fractions - medium
Add or subtract a fraction and a mixed number
Add and subtract three like fractions
Add and subtract four like fractions
Add and subtract four like fractions and mixed numbers
Add and subtract three unlike fractions

Fraction multiplication and division

Multiply two fractions
Multiply three fractions
Challenge: multiply four fractions & mixed numbers
Divide fractions
Divide a fraction & a mixed number
Equations with decimals

Key to Fractions workbook series

Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

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Scientific notation

Write numbers in scientific notation - up to 8-digit numbers
Write numbers in scientific notation - up to 12-digit numbers
Write numbers given in scientific notation in normal form - up to 8-digit numbers
Write numbers given in scientific notation in normal form - up to 12-digit numbers

Complex fractions

Simplify complex fractions: either the numerator or the denominator is an integer
Simplify complex fractions

Equations and inequalities

Two-step equations - constants and coefficients are non-negative whole numbers
Two-step equations - constants and coefficients may be negative integers

Variable on both sides
Equations with parentheses
Equations: mixed practice
Challenge: the constants and coefficients are "larger" numbers (have a larger absolute value)
Challenge: equations with decimals

Solve very simple inequalities and plot the solution set on a number line
Solve a bit more complex inequalities and plot the solution set
Solve inequalities - easier
Solve inequalities - medium

Key to Algebra workbook series

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

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Constant speed, time, and distance

How far can it go or how long does the trip take 1: using quarter hours
How far can it go or how long does the trip take 2: using twelfths of an hour
How far can it go or how long does the trip take 3: using decimal hours or hours and minutes

Find the average speed: time is given to the fourth of an hour
Find the average speed: time is given to the twelfth of an hour
Find the average speed: problems involve conversion of a time unit

Problems about speed, time, and distance - medium difficulty
Problems about speed, time, and distance - more advanced
Problems about speed, time, and distance - challenge
Problems about speed, time, and distance - advanced challenge

Graphing & Slope

Graph linear equations - easy (slope is a whole number)
Graph linear equations - medium (slope can be a fraction)

Find the slope of the line, either from the graph or from the two given points (slope is a whole number)
Find the slope of the line, either from the graph or from the two given points (slope can be a fraction)

Graph a line with a given slope and point on it (slope is a whole number)
Graph a line with a given slope and point on it (slope may be a fraction)

Key to Algebra workbook series

Real World Algebra by Edward Zaccaro

Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.

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Ratio

Write a ratio and simplify it
Ratio word problems

Proportions

Easy proportions (can be solved by thinking of equivalent fractions)
Solve proportions (whole numbers)
Solve proportions (decimals)

Simple word problems that involve proportions
Simple word problems that involve proportions and use decimal numbers

Percent

Change decimals to percents and vice versa
Change decimals to percents — includes percentages more than 100%

Find a percentage of the given number — easy, percents are multiples of ten
Find a percentage of the given number — medium, percents are multiples of five
Find a percentage of the given number — percentages over 100%
Find a percentage of the given number — use a calculator

Find how many percent a number is of another
Find a percentage of a given number OR how many percent a number is of another - easy
Find a percentage of a given number OR how many percent a number is of another - use a calculator

Key to Percents workbook series

Key to Percents Workbooks

Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.

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Geometry

Area - these worksheets are done in the coordinate grid.

Find the area of right triangles, parallelograms, and trapezoids
Find the area of triangles and quadrilaterals
Find the area of quadrilaterals, pentagons, and hexagons
Challenge: find the area of triangles & quadrilaterals (scaling on the grid is from -50 to 50)

Volume & surface area

Since these worksheets below contain images of variable sizes, please first check how the worksheet looks like in print preview before printing. If it doesn't fit, you can either print it scaled (such as at 90%), or make another one by refreshing the worksheet page (F5) until you get one that fits.

Find the volume of a rectangular prism with fractional edge lengths
(halves, thirds, and fourths; the whole number part is max 2)
Find the volume of a rectangular prism with fractional edge lengths (challenge: fractions up till sixths)

Find the volume or surface area of rectangular prisms (easy)
Find the volume or surface area of rectangular prisms (using decimals)

Problem solving: find the volume/surface area/edge length of cube when surface area or volume is given

Key to Geometry workbook series

Key to Geometry Workbooks

Here is a non-intimidating way to prepare students for formal geometry. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.

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Circle & Pi

Find the circumference when either radius or diameter is given
Find the area of the circle when either radius or diameter is given
Challenge: calculate diameter/radius/area when circumference is given

If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself:

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