Grade 7 Math Worksheets

Grade 7 works with the whole rational number system — adding, subtracting, multiplying and dividing integers, signed decimals and signed fractions — and applies proportional reasoning to percents, tax, tip, discount and scale. Two-step equations and the distributive property make the algebra explicit.

Sign errors dominate grade 7 mistakes. The missing-number sheets on integers and decimals are the sharpest test of whether the sign rules are understood rather than pattern-matched, and the mixed reviews keep the four rules from being applied to the wrong operation.

Grade 7 math at a glance

Grade 7 covers six topics in 30 worksheets. By topic: fractions (five sheets, numbers 0.125 to 30), decimals (five sheets, numbers 0.04 to 200), percents (five sheets, numbers 0.01 to 3,500), integers (five sheets, numbers 0 to 6,750,000), ratios and proportions (five sheets, numbers 1 to 660), and expressions and equations (five sheets, numbers 0 to 12,000). The longest grade 7 sheet is the decimals timed drill at 60 problems; the shortest is the ratios and proportions word problems at 10. A grade 7 sample: problem 11 of the expressions and equations drill reads "Solve: 7x + (-20) = 50" (answer x = 10). Common Core tags at grade 7: 6.NS.1, 7.EE.1, 7.EE.4, 7.NS.1, 7.NS.2, and 7.NS.3, and three more.

Every grade 7 sheet comes as Set A, B and C with answer keys; for other ranges, build a grade 7 sheet in the worksheet generator.

Topics taught in grade 7

Fractions

complex fractions, signed fractions, and fractions as terminating and repeating decimals.

5 worksheets · 3 sets each

Decimals

adding, subtracting, multiplying and dividing signed decimals, and repeating decimals.

5 worksheets · 3 sets each

Percents

tax, tip and discount, percent increase and decrease, and harder percents of a number.

5 worksheets · 3 sets each

Integers

adding, subtracting, multiplying and dividing integers, and order of operations with signed numbers.

5 worksheets · 3 sets each

Ratios & Proportions

solving proportions, unit rates, the constant of proportionality and scale drawings.

5 worksheets · 3 sets each

Expressions & Equations

two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities.

5 worksheets · 3 sets each

Grade 7 on this site: six topics — fractions, decimals, percents, integers, ratios and proportions, and expressions and equations — in 30 worksheets, each in three versions, for 2,694 problems with keys.

Fractions: complex fractions, signed fractions, and fractions as terminating and repeating decimals. Decimals: adding, subtracting, multiplying and dividing signed decimals, and repeating decimals. Percents: tax, tip and discount, percent increase and decrease, and harder percents of a number. Integers: adding, subtracting, multiplying and dividing integers, and order of operations with signed numbers. Ratios & Proportions: solving proportions, unit rates, the constant of proportionality and scale drawings. Expressions & Equations: two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities.

To see the level at a glance: the fractions drill has 16 problems (problem 6: "(3/8) ÷ (1/2)"), the decimals drill has 20 problems (problem 7: "0.6 × 6.9"), the percents drill has 30 problems (problem 11: "A $85.00 item is 50% off. What is the sale price?"), the integers drill has 20 problems (problem 7: "1.9 + (-7.2)"), the ratios and proportions drill has 30 problems (problem 11: "Solve: 8/x = 48/24"), and the expressions and equations drill has 30 problems (problem 11: "Solve: 7x + (-20) = 50").