7Common Core-aligned · Grade 7

Grade 7 Math Worksheets

Free printable and interactive Grade 7 math worksheets aligned to Common Core. 222 worksheets so far. Every worksheet has an answer key and can be completed online with instant feedback.

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Grade 7 Math topics & skills

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Geometry

7.G.A.1

Solve problems with scale drawings, finding actual lengths and areas and redrawing a figure at a different scale.

Worksheet
Grade 7
School Store: Plan the Order Space
Geometry · 7.G.A.1
Free14 questions
Worksheet
Grade 7
Robot Prototype: Scale Design
Geometry · 7.G.A.1
Premium14 questions
Worksheet
Grade 7
Aquarium Feeding Access Plans
Geometry · 7.G.A.1
Premium14 questions
Worksheet
Grade 7
School Roof Solar: Review the Layout
Geometry · 7.G.A.1
Premium14 questions
Worksheet
Grade 7
3D-Printing Club: Detail Drawings
Geometry · 7.G.A.1
Premium14 questions
Worksheet
Grade 7
School Event Baking: Scale Templates
Geometry · 7.G.A.1
Premium14 questions

7.G.A.2

Draw shapes from given conditions, especially triangles from three angles or sides, and tell if there is one, many, or no triangle.

7.G.A.3

Describe the 2-D shapes made by slicing 3-D figures such as right rectangular prisms and pyramids.

7.G.B.4

Know and use the formulas for the area and circumference of a circle, and informally explain how they are related.

7.G.B.5

Use supplementary, complementary, vertical, and adjacent angles to write and solve equations for an unknown angle.

7.G.B.6

Solve real-world problems about area, volume, and surface area of figures made of triangles, quadrilaterals, polygons, cubes, and prisms.

Ratios & Proportional Relationships

7.RP.A.1

Find unit rates from ratios of fractions, including lengths, areas, and other quantities, such as miles per hour from fractions.

7.RP.A.2.a

Decide whether two quantities are proportional by checking a table for equal ratios or a graph for a line through the origin.

7.RP.A.2.b

Find the constant of proportionality in tables, graphs, equations, diagrams, and word descriptions.

7.RP.A.2.c

Write equations for proportional relationships, such as total cost t = pn for n items at price p.

7.RP.A.2.d

Explain what a point (x, y) on a proportional graph means in context, especially (0, 0) and (1, r) where r is the unit rate.

7.RP.A.3

Solve multistep ratio and percent problems such as interest, tax, markups, discounts, tips, commissions, and percent error.

Number System

7.NS.A.1.a

Describe situations where opposite quantities combine to make 0, like gaining and then losing the same amount.

7.NS.A.1.b

Understand p + q as moving |q| from p on a number line, see that opposites add to 0, and interpret sums in context.

7.NS.A.1.c

Understand subtracting as adding the opposite, and see the distance between two numbers as the absolute value of their difference.

7.NS.A.1.d

Use properties of operations as strategies to add and subtract rational numbers.

7.NS.A.2.a

Understand why multiplying signed numbers follows rules like (-1)(-1) = 1, and interpret products in context.

7.NS.A.2.b

Know integers can be divided when the divisor is not 0, that the result is rational, and that -(p/q) = (-p)/q = p/(-q).

7.NS.A.2.c

Use properties of operations as strategies to multiply and divide rational numbers.

7.NS.A.2.d

Change a rational number to a decimal with long division and know the decimal either ends or repeats.

7.NS.A.3

Solve real-world and math problems using all four operations with rational numbers.

Expressions & Equations

7.EE.A.1

Add, subtract, factor, and expand linear expressions with rational coefficients using properties of operations.

7.EE.A.2

See how rewriting an expression in another form shows how quantities relate, such as a + 0.05a = 1.05a for a 5% raise.

7.EE.B.3

Solve multistep real-life problems with positive and negative numbers as whole numbers, fractions, and decimals, and check by estimating.

7.EE.B.4.a

Solve word problems with equations like px + q = r and p(x + q) = r, and compare the algebra with an arithmetic solution.

7.EE.B.4.b

Solve word problems with inequalities like px + q > r or px + q < r, graph the solutions, and explain them in context.

Statistics & Probability

7.SP.A.1

Understand that a sample can tell about a population, and that random samples tend to represent the population well.

7.SP.A.2

Use data from a random sample to make inferences about a population, and compare several samples to see how estimates vary.

7.SP.B.3

Judge how much two data sets with similar spread overlap, measuring the gap between their centers in units of that spread.

7.SP.B.4

Compare two populations informally using the centers and spreads of random samples from each.

7.SP.C.5

Understand probability as a number from 0 to 1 showing how likely an event is, from impossible to certain.

7.SP.C.6

Estimate a probability by running a chance process many times and watching its relative frequency, then predict results.

7.SP.C.7.a

Build a uniform probability model, where every outcome is equally likely, use it to find probabilities, and compare probabilities from a model to observed frequencies and explain differences.