7th Grade Math

Proportions, percent, two-step equations, probability, circles and angle relationships

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7th Grade Mixed Review

A spiral-review worksheet mixing problems from every 7th Grade topic — free to print, with answer key.

Proportions

Scale drawings and percent problems

5 lessons with worksheetsStart Learning

Rational Numbers

All operations with positive and negative numbers

4 lessons with worksheetsStart Learning

Expressions

Combine like terms and factor expressions

5 lessons with worksheetsStart Learning

Equations

Two-step equations and inequalities

5 lessons with worksheetsStart Learning

Geometry

Angle relationships, circles, and area calculations

5 lessons with worksheetsStart Learning

Probability

Simple and compound probability, experimental probability

4 lessons with worksheetsStart Learning

Statistics

Random sampling and comparing populations

4 lessons with worksheetsStart Learning

What 7th Grade math looks like, solved step by step

Real 7th Grade problems, one per topic, from proportions to statistics — the same explanations your child sees when practicing online.

Proportions

What is 71% of 233?

  1. 71% means 71 out of every 100, so 71% of 233 = 233 × 71 ÷ 100.
  2. Multiply: 233 × 71 = 16543.
  3. Divide by 100: 16543 ÷ 100 = 165.43.
  4. So 71% of 233 is 165.43.

Answer: 165.43

All 7th Grade proportions lessons

Expressions

Factor: 24k + 28 = 4(?k + 7)

  1. Find the greatest common factor (GCF) of 24 and 28: it is 4.
  2. Divide each term by 4: 24k ÷ 4 = 6k and 28 ÷ 4 = 7.
  3. So 24k + 28 = 4(6k + 7).
  4. Check by distributing: 4 × 6k = 24k and 4 × 7 = 28.
  5. Match 4(6k + 7) to 4(?k + 7): the missing number is 6.

Answer: 6

All 7th Grade expressions lessons

Geometry

A circle has a diameter of 6 centimeters. What is its circumference, in centimeters? Use 3.14 for π.

  1. The circumference of a circle is C = πd = 2πr.
  2. C = 3.14 × 6 = 18.84 centimeters.

Answer: 18.84

All 7th Grade geometry lessons

Statistics

Minutes spent on homework — Group A: 24, 27, 29, 32, 32, 24; Group B: 26, 21, 18, 18, 23, 26. Both data sets have a mean absolute deviation (MAD) of 3. The difference between the means is how many times the MAD?

  1. Mean of Group A: (24 + 27 + 29 + 32 + 32 + 24) ÷ 6 = 168 ÷ 6 = 28.
  2. Mean of Group B: (26 + 21 + 18 + 18 + 23 + 26) ÷ 6 = 132 ÷ 6 = 22.
  3. The means differ by 28 − 22 = 6.
  4. Divide by the MAD: 6 ÷ 3 = 2, so the means are 2 MADs apart.

Answer: 2

All 7th Grade statistics lessons

A sample week of 7th Grade practice

One way to spend five short sessions: the first two new lessons of Proportions and Rational Numbers, one printable worksheet a day, then a mixed review. For a signed-in child, Today's Math picks each day's problems instead: due reviews first, then the next skill at their working level.

  1. Monday
    Scale Drawings 1 · Proportions · 10 problems

    Starts Proportions at its first new lesson, Scale Drawings.

  2. Tuesday
    Percent Problems 1 · Proportions · 10 problems

    Builds on Scale Drawings with the next new lesson, Percent Problems.

  3. Wednesday
    Add/Subtract Rationals 1 · Rational Numbers · 10 problems

    Starts Rational Numbers at its first new lesson, Add/Subtract Rationals.

  4. Thursday
    Multiply/Divide Rationals 1 · Rational Numbers · 10 problems

    Builds on Add/Subtract Rationals with the next new lesson, Multiply/Divide Rationals.

  5. Friday
    7th Grade Mixed Review · Mixed review

    One sheet drawing problems from across 7th Grade topics, so a week of Proportions and Rational Numbers ends on mixed recall rather than the last thing practiced.

Frequently Asked Questions

What math topics are covered in Grade 7?
Grade 7 covers Proportions, Rational Numbers, Expressions, Equations, Geometry, Probability, Statistics. Each topic includes multiple progressive worksheets with increasing difficulty.
Are Grade 7 math worksheets aligned to Common Core?
Yes, all worksheets align with Common Core State Standards for Grade 7 mathematics, ensuring your child builds skills in the right sequence.
Are the Grade 7 worksheets free?
Yes, all printable worksheets are free to download and print. Answer keys and detailed progress reports require a premium subscription.