7th Grade Math
Proportions, percent, two-step equations, probability, circles and angle relationships
Not sure 7th Grade is the right level? Take the free 2-minute placement quiz to find where your child should start.
A spiral-review worksheet mixing problems from every 7th Grade topic — free to print, with answer key.
Rational Numbers
All operations with positive and negative numbers
Probability
Simple and compound probability, experimental probability
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?
- 71% means 71 out of every 100, so 71% of 233 = 233 × 71 ÷ 100.
- Multiply: 233 × 71 = 16543.
- Divide by 100: 16543 ÷ 100 = 165.43.
- So 71% of 233 is 165.43.
Answer: 165.43
All 7th Grade proportions lessonsExpressions
Factor: 24k + 28 = 4(?k + 7)
- Find the greatest common factor (GCF) of 24 and 28: it is 4.
- Divide each term by 4: 24k ÷ 4 = 6k and 28 ÷ 4 = 7.
- So 24k + 28 = 4(6k + 7).
- Check by distributing: 4 × 6k = 24k and 4 × 7 = 28.
- Match 4(6k + 7) to 4(?k + 7): the missing number is 6.
Answer: 6
All 7th Grade expressions lessonsGeometry
A circle has a diameter of 6 centimeters. What is its circumference, in centimeters? Use 3.14 for π.
- The circumference of a circle is C = πd = 2πr.
- C = 3.14 × 6 = 18.84 centimeters.
Answer: 18.84
All 7th Grade geometry lessonsStatistics
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?
- Mean of Group A: (24 + 27 + 29 + 32 + 32 + 24) ÷ 6 = 168 ÷ 6 = 28.
- Mean of Group B: (26 + 21 + 18 + 18 + 23 + 26) ÷ 6 = 132 ÷ 6 = 22.
- The means differ by 28 − 22 = 6.
- Divide by the MAD: 6 ÷ 3 = 2, so the means are 2 MADs apart.
Answer: 2
All 7th Grade statistics lessonsA 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.
- MondayScale Drawings 1 · Proportions · 10 problems
Starts Proportions at its first new lesson, Scale Drawings.
- TuesdayPercent Problems 1 · Proportions · 10 problems
Builds on Scale Drawings with the next new lesson, Percent Problems.
- WednesdayAdd/Subtract Rationals 1 · Rational Numbers · 10 problems
Starts Rational Numbers at its first new lesson, Add/Subtract Rationals.
- ThursdayMultiply/Divide Rationals 1 · Rational Numbers · 10 problems
Builds on Add/Subtract Rationals with the next new lesson, Multiply/Divide Rationals.
- Friday7th 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.