Printable math worksheets

• Addition facts to 20 — Twenty-four addition facts with both numbers up to 20, written along the line, and an answer key on the second page.
• Subtraction facts to 20 — Twenty-four subtraction facts within 20, none of them going below zero, with the answer key on the second page.
• 2-digit addition with regrouping — Sixteen two-digit sums stacked in columns, every one of them carrying, with an answer key on the second page.

• Multiplication facts, 1 to 12 — Thirty multiplication facts drawn from the whole twelve-by-twelve table, mixed, with the answer key on the second page.
• What is division? Sharing, a first lesson — A one-page lesson that teaches division as sharing out fairly — twelve counters dealt into three rings — with a worked example, six to try, and the answers on the second page.
• Division as making groups — The second division lesson: the same 12 ÷ 3 read as how many groups of 3, with counters ringed along a row, a number line jumped back in threes, and six to try.
• Division arrays: one picture, four facts — A lesson on the array: 3 rows of 4 dots read as 3 × 4, 4 × 3, 12 ÷ 3 and 12 ÷ 4, then five arrays to write the two divisions under, and one bare fact to think through.
• Division with remainders, a lesson — A one-page lesson on remainders: 14 counters dealt into 4 rings with 2 left outside, the check line written as a multiplication, one story where the leftover changes the answer, and six to try.
• Partial quotients: division by chunking — A one-page lesson on chunking, or partial quotients: 156 ÷ 12 as one hop of 120 and one of 36 along a number line, the column written down the page, and six to try with room to work.
• How to do long division, step by step — A one-page lesson on long division: 657 ÷ 3 worked in the bracket with every written square shaded, the four steps explained in place-value words, and six to try on the guided grid.
• Division facts, 1 to 12 — Thirty division facts, every one of them a times-table fact read backwards, with an answer key.
• Blank multiplication chart — A blank twelve-by-twelve grid with the headers printed, to be filled in — and the completed chart on the second page.
• Long division, 3-digit by 1-digit — Nine long divisions set in the bracket, three digits by one, with room to work and no remainders.
• Long division on a grid, 3-digit by 1-digit — Nine long divisions set in the bracket on a place-value grid — a column for each digit and a square for every line of working — with no remainders.
• Long division, 4-digit by 2-digit — Six long divisions of a four-digit number by a two-digit one, set in the bracket on a place-value grid with no remainders, and an answer key.

• Adding and subtracting fractions — Twelve fractions added and taken away, like and unlike denominators mixed, with every answer in its lowest terms.
• Equivalent fractions — Sixteen pairs of fractions with one number missing from the second — the same value written another way.
• Decimal place value — Fourteen questions asking what one digit of a two-place decimal is worth — the 5 in 3.75 is 0.05 — with an answer key.
• Comparing decimals — Eighteen pairs of decimals to write <, > or = between, built around the pairs that catch “longer is bigger”, with an answer key.
• Ordering decimals — Ten sets of four or five decimals to write in order, smallest first, on a ruled line under each set, with an answer key.
• Rounding decimals — Eighteen two-place decimals to round to the nearest tenth — 2.97 becomes 3.0 — including the ones that carry through a 9, with an answer key.
• Multiplying and dividing by 10, 100 and 1000, explained — A one-page lesson on a place-value chart: 3.7 sliding one column left under × 10, 48 sliding three right under ÷ 1000 with its noughts written in, the sentence the digits move and the point stays, and six to try.
• Multiplying and dividing by 10, 100 and 1000 — Eighteen decimals and whole numbers multiplied and divided by 10, 100 and 1000, taught as the digits moving, with an answer key.
• Adding and subtracting decimals — Twelve two-place decimals added and taken away in columns, with the points lined up and an answer key.
• Multiplying decimals by decimals — Twelve one-place decimals multiplied by one-place decimals in columns — 3.7 × 2.4 — with the places counted into the answer, and an answer key.
• Dividing decimals, explained — A one-page lesson on dividing a decimal by a whole number: 8.46 ÷ 3 worked in the bracket with the point carried straight up, an estimate first, and six to try on the guided grid.
• How to divide by a decimal — A one-page lesson on dividing by a decimal: 8.4 ÷ 0.2 asked as how many 0.2s make 8.4, rewritten as 84 ÷ 2 by scaling both numbers by ten, and six to try with a line for the rewrite and a line for the answer.
• Dividing decimals by whole numbers — Nine two-place decimals divided by a single digit, set in the bracket on a place-value grid with the point placed above the bar, and an answer key.
• Dividing decimals by two-digit numbers — Nine two-place decimals divided by numbers from 11 to 25, set in the bracket on a grid with the take-away rows marked, and an answer key.
• Dividing by a decimal — Twelve divisions by a decimal — 8.4 ÷ 0.2 — written along a line with room to rewrite each one as a whole-number division, and an answer key.
• Long division with decimal answers — Nine whole-number divisions whose answers run past the point — 7 ÷ 4 = 1.75 — set in the bracket with the zeros already annexed, on a grid, with an answer key.
• Percentages of an amount — Twelve percentages of an amount, in the sizes a shop actually uses, with an answer key.
• Adding and subtracting money — Twelve amounts of money added and taken away in columns, in dollars, with an answer key.

• Telling the time to five minutes — Twelve clock faces with the hands drawn on, to be read to the nearest five minutes, with an answer key.
• Metric unit conversion — Fifteen metric conversions across length, mass and capacity, with an answer key.
• Area of rectangles and triangles — Nine shapes drawn to scale with their sides labeled, to find the area of, with an answer key.

• Positive and negative numbers — Twenty questions over positive and negative whole numbers, with an answer key that has the signs right.
• Order of operations — Twelve expressions with three operations each, parentheses included, and no negative numbers or powers in the way.
• One-step equations — Sixteen equations solved by a single move, with an answer key checked by substitution.
• Ratio and proportion — Twelve proportions with one number missing from the pair, with an answer key in whole numbers.
• Mean, median, mode and range — Four sets of numbers, each with all four averages asked for, and an answer key that handles an even-sized set properly.
• Word problems — Six worded problems across rates, percentages, averages and equations, with room to work and an answer key.

It is the second page, on every one of these, and it is not a second attempt at the questions. The answers are worked out at the moment the problems are, and the key is the same page with them drawn in — so a key cannot disagree with the sheet it belongs to, which is the way this most often goes wrong elsewhere.

The arithmetic behind them is exact rather than approximate. Decimals and money are added as whole hundredths rather than as floating-point numbers, so no key here has 0.30000000000000004 on it or a rounded last place. Fractions and ratios are reduced with a greatest common divisor, so an answer is in its lowest terms rather than merely equal to the right one. A set of numbers is redrawn until it has a single mode, and an even-sized set gets a median between two values rather than at one of them. Each of those is a way a generated worksheet prints a confident wrong answer, and each of them is a test in this repository.

No problem is repeated on a page, either. A sheet drawn at random from a small pool of facts repeats itself surprisingly often, and a child who spots the repeat has been given fewer problems than the page claims to hold.

Paper and practice go together here. The times tables on these sheets are the twelve levels of The Grid, where the same facts are dealt as timed cards and the ones that come out slow get a practice deck of their own — and each table has a page of its own with the full table on it.