Grade 6 Math Worksheets

Grade 6 is the hinge between arithmetic and algebra. Ratios and unit rates, percents of a number, negative numbers compared and ordered, expressions evaluated and one-step equations solved — each topic here is arithmetic reasoning being given a general form. Dividing fractions and multi-digit decimal work finish the arithmetic sequence.

Word-problem sheets deserve extra time this year. The skill grade 6 is really building is translating a situation into a ratio, a percent or an equation, and no drill sheet can practise that.

Topics taught in grade 6

Multiplication

multi-digit multiplication, greatest common factor, least common multiple and perfect squares.

6 worksheets · 3 sets each

Division

long division with two- and three-digit divisors and multi-digit quotients.

6 worksheets · 3 sets each

Mixed Operations

order of operations with exponents and multi-digit work in all four operations.

5 worksheets · 3 sets each

Fractions

dividing fractions by fractions and all four operations with mixed numbers.

5 worksheets · 3 sets each

Decimals

multiplying and dividing decimals by decimals, and multi-digit decimal sums and differences.

5 worksheets · 3 sets each

Percents

percent of a number, finding the percent, and finding the whole.

5 worksheets · 3 sets each

Integers

comparing and ordering integers, opposites, absolute value, and a first look at adding on a number line.

5 worksheets · 3 sets each

Ratios & Proportions

writing and simplifying ratios, equivalent ratios, ratio tables, unit rates and ratios as percents.

5 worksheets · 3 sets each

Expressions & Equations

evaluating expressions, whole-number exponents, one-step equations and combining like terms.

5 worksheets · 3 sets each

Grade 6 on this site: nine topics — multiplication, division, mixed operations, fractions, decimals, percents, integers, ratios and proportions, and expressions and equations — in 47 worksheets, each in three versions, for 4,116 problems with keys.

Multiplication: multi-digit multiplication, greatest common factor, least common multiple and perfect squares. Division: long division with two- and three-digit divisors and multi-digit quotients. Mixed Operations: order of operations with exponents and multi-digit work in all four operations. Fractions: dividing fractions by fractions and all four operations with mixed numbers. Decimals: multiplying and dividing decimals by decimals, and multi-digit decimal sums and differences. Percents: percent of a number, finding the percent, and finding the whole. Integers: comparing and ordering integers, opposites, absolute value, and a first look at adding on a number line. Ratios & Proportions: writing and simplifying ratios, equivalent ratios, ratio tables, unit rates and ratios as percents. Expressions & Equations: evaluating expressions, whole-number exponents, one-step equations and combining like terms.

To see the level at a glance: the multiplication drill has 30 problems (problem 11: "712 × 807"), the division drill has 30 problems (problem 11: "16926 ÷ 91"), the mixed operations drill has 30 problems (problem 11: "(2 + 9)²"), the fractions drill has 16 problems (problem 6: "7/10 ÷ 1/5"), the decimals drill has 16 problems (problem 6: "73.864 + 91.162"), the percents drill has 30 problems (problem 11: "5% of 500"), the integers drill has 30 problems (problem 11: "-44 ___ 21"), the ratios and proportions drill has 30 problems (problem 11: "9:9 = ___:18"), and the expressions and equations drill has 22 problems (problem 8: "7²").