How to make a math worksheet
- Start from a grade, or pick the kind of problems yourself: addition, subtraction, both, multiplication, division, all four mixed, times tables or fractions.
- Set the numbers. Type the smallest and largest first and second number. Two-digit numbers are 10 to 99, three-digit 100 to 999. For addition you can also cap the answer, so 0 to 10 plus 0 to 10 with a largest answer of 10 gives sums within 10.
- Choose the rules: carrying and borrowing, negative numbers, remainders, which times tables, or like and unlike denominators.
- Pick the layout and size. Stacked problems are written in columns for the standard method; division then prints in the long division bracket. In a row prints 47 + 38 = ___, which suits facts and mental math.
- Check the preview and download the PDF. The answer key pages come last; New problems makes a fresh set with the same settings.
What the grade quick starts mean
The quick starts follow the grade expectations of the US Common Core State Standards for Mathematics, written out as plain settings. Your school's curriculum may order things differently, so treat them as a starting point and adjust.
| Grade | What the standards expect | Quick starts |
|---|---|---|
| K | Add and subtract within 10 (K.OA.2), fluently within 5 (K.OA.5) | Adding within 5 and within 10, taking away within 10, extra large print |
| 1 | Add and subtract within 20, fluent within 10 (1.OA.6) | Adding and subtracting within 20, large print |
| 2 | Fluently add and subtract within 100 (2.NBT.5) | Two-digit addition, with carrying, and subtraction with borrowing |
| 3 | Know all products of two one-digit numbers from memory (3.OA.7); add and subtract within 1000 (3.NBT.2) | Multiplication facts 0–10, division facts, three-digit adding and subtracting |
| 4 | Multiply up to four digits by one digit and two digits by two (4.NBT.5); divide up to four-digit numbers by one digit, with remainders (4.NBT.6); add and subtract fractions with like denominators (4.NF.3) | Multi-digit × one-digit, two-digit × two-digit, long division, like fractions |
| 5 | Multiply multi-digit numbers with the standard algorithm (5.NBT.5); divide up to four-digit numbers by two-digit divisors (5.NBT.6); add and subtract fractions with unlike denominators (5.NF.1) | Three-digit × two-digit, long division with two-digit divisors, unlike fractions |
Carrying, borrowing and remainders
Regrouping is carrying a ten in addition (47 + 38: 7 + 8 = 15, write 5, carry 1) and borrowing a ten in subtraction (52 − 37: 2 is less than 7, so borrow). The generator checks every column, so No regrouping really gives sums like 45 + 32 where no column reaches ten, and Every problem regroups has at least one carry or borrow in each problem. Children usually learn the column method without regrouping first, then with it. For multiplication the same setting covers carries inside each partial product and when the partial products are added.
For division, No remainders builds each problem from a whole-number answer, so 84 ÷ 7 always comes out even. With remainders the key prints the answer as 12 R 3. Stacked division uses the long division bracket, with space underneath for the working. In grades 4 and 5 the standards ask for division by place-value strategies (partial quotients, area models); the standard long division algorithm comes in grade 6 (6.NS.2), so younger classes may prefer In a row and their own method.
Sheets keep easy problems rare: problems with a 0, × 1, ÷ 1 or a number divided by itself make up at most one in ten (unless your settings allow nothing else), 0 + 0 never appears, and no problem repeats while the ranges have others to give. Grade 4 fractions use only the denominators the standards list for grade 4 (2, 3, 4, 5, 6, 8, 10 and 12).
Answer keys, sheets and links
The key repeats each page with the answers in red, so you can hold it next to a child's sheet. Fraction answers are in simplest form, as mixed numbers when they are more than 1 (3/4 + 1/2 = 1 1/4). Every answer is computed from the problem's own numbers, and the generator is tested against column-by-column arithmetic on thousands of problems.
For a class, set Different sheets under Printing: each sheet gets new problems of the same kind and its own code (K7PQ2D, K7PQ2D-2…), printed on the sheet and on its answer key. The problems come from that code, so Share result gives a link that rebuilds exactly the same worksheet. Keep it to reprint the sheet next year, or send it to a parent who wants the same practice at home. The link holds the settings, the title and the code after the # sign; nothing is uploaded, and the PDF is made in your browser.
Tips
- Short and often beats long: a sheet of 10 to 20 problems a day keeps facts fresh without turning practice into a chore. The Score box on the name line makes it easy to track progress.
- Mix in the inverse: Addition and subtraction or times tables with Both, mixed facts makes children notice which operation each problem asks for.
- Print at 100% (Actual size) so the columns stay lined up; Fit to page works too.
More for the classroom: graph paper keeps long multiplication in neat columns, word searches turn a spelling list into a puzzle, and name tracing worksheets suit the youngest learners.