Multiplication & Division Worksheets

Solve equal-groups and array word problems by adding equal groups.

Build equal groups and arrays and write addition equations for the total.

Enrichment: find the unknown in equal groups, spot and fix mistakes, and solve open array puzzles.

Build the meaning of multiplication with a visual model — equal groups or an array — each linked to an addition equation and a multiplication equation.

Model and interpret division: share objects equally into groups, make equal groups, and read a division expression two ways (the number in each share, or the number of shares).

Practice multiplication facts. Use the Focus buttons to drill one times-table, an easy set, or all facts to 12.

Multiply three numbers by grouping two of them first: 3 × 5 × 2 = (3 × 5) × 2 = 15 × 2 = 30, or 3 × (5 × 2) = 3 × 10 = 30. Either grouping gives the same product. The Even × Any focus applies the same regrouping to show why an even factor always makes an even product.

Break a multiplication into easier parts with the distributive property — two ways: complete the split, or use an area model.

See that a x b = b x a with arrays: the second array is the first one turned on its side, so it has the same number of dots. Fill in both products.

Fact family triangle: the top number is the product of the two bottom factors. Write the 2 multiplication and 2 division facts that connect them.

Divide within 100.

Solve multiplication and division word problems within 100 in equal-groups, array, and measurement situations — with a drawing model (multiplication or division), or as a mixed set with no model.

Solve for the unknown factor, dividend, or divisor in a one-step multiplication or division equation.

Solve two-step real-world word problems using the four operations (add, subtract, multiply, divide) across many different contexts. Show your work.

Every multiple of 5 ends in 5 or 0: 5 times an even number ends in 0, times an odd number ends in 5. Circle the ones digit of each product without computing.

Cumulative grade-3 arithmetic-patterns review as a multiple-choice test: even/odd sums and products, multiples of 5 and 10, even numbers, the commutative and distributive properties, and skip-count / missing-term sequences. Every question is single-answer multiple choice (A-D); several are mixed-concept (e.g. "Which product is even?", "Which equation is true?").

Uses known facts plus place value to multiply by rounded tens like 20, 30, or 80.

Enrichment: rebuild column multiplications — including the partial products — where most digits are hidden. Every puzzle has exactly one solution.

Multiply a whole number of up to four digits by a one-digit number, or two two-digit numbers, with the standard algorithm — or practice mental strategies based on place value and the properties of operations (compensation, doubling & halving).

Multiply by going to the round number just above and taking the extra back: 306 × 8 is 306 × (10 − 2) = 3,060 − 612. Works whenever a factor sits just under 10, 30, 100 — ×9, ×29, ×99 — and is done mentally, not in columns.

Break a factor apart and regroup the pieces so a friendly product falls out: 24 × 25 becomes (6 × 4) × 25 = 6 × 100. Includes the doubling-and-halving case, where × 5 is × 10 then halved. Done mentally, not in columns.

Model a division that does not come out even: find how many each group gets and how many are left over, then check with total = groups × each + left over.

Divide by a ONE-DIGIT divisor with the long-division algorithm, or illustrate a division with remainder using a rectangular array. Use Focus to set the dividend size and whether there is a remainder.

Interpret a multiplication equation as a comparison: 35 = 5 × 7 means 35 is 5 times as many as 7 and 7 times as many as 5. Also write multiplication equations for verbal comparisons.

Multiply or divide to solve word problems about multiplicative comparison ("times as many"), using a bar model and an equation with a symbol for the unknown.

Solve multistep word problems with whole numbers using the four operations — including remainders that must be interpreted. Write an equation with a letter for the unknown, and check that answers are reasonable by rounding.

Arrange digits to make the greatest product, using place value. Distinct digits 1–9; build the biggest (and smallest) product, or compare two arrangements in four steps: expand, the hundreds, the tens and ones, the sign. The answer key shows the exact champion.

Fluently multiply multi-digit whole numbers using the standard algorithm: 3-digit × 2-digit, 4-digit × 2-digit, or the full 3-digit × 3-digit.

Enrichment: rebuild long divisions where the divisor, quotient, dividend, and work rows are mostly hidden. Every puzzle has exactly one solution.

Divide by a TWO-DIGIT divisor with the long-division algorithm — estimating each digit of the quotient, which is what makes this harder than dividing by one digit.

Divide by a two-digit divisor with the standard long-division algorithm — three-digit and four-digit dividends.

Generate equivalent expressions with the distributive property — expand and factor, an area model, spot-the-error reasoning, word problems, and mental math.

Apply the distributive property in story problems, including factoring out a common factor (6.EE.A.3).