HesapHanem

Crossword Grid Word Count Calculator

Enter the grid size and block density to estimate the word count.

How it is calculated

You enter the side length of a square grid and the percentage of squares that are black blocks. Cells: n². White cells: n² × (1 − density ÷ 100). In a fully checked grid every white cell sits in one across and one down entry, so the letters counted across all entries are 2 × white cells. The tool divides that by a fixed average entry length of 5 letters: words = round(2 × white cells ÷ 5). This counts across and down entries together. The result is an estimate, because a real grid with many long entries has fewer words than one with many short ones. Density must be at least 0 and below 100, and the grid size must be above 0. Anything else shows no result. The grid is always square, so a 15 × 21 grid cannot be modelled.

Worked example

A 15 × 15 grid with 17% black squares. Cells: 15 × 15 = 225. White cells: 225 × (1 − 0.17) = 186.75, shown as 187 cells. Letters counted over across and down entries: 2 × 186.75 = 373.5. Divide by the average entry length of 5: 373.5 ÷ 5 = 74.7, rounded to 75 words. A 21 × 21 grid at the same density has 366 white cells and gives 146 words. Treat the figure as a planning check on the block pattern, not the exact entry count of a finished puzzle.

Try this example →

Common mistakes

  • Entering the density as a fraction, such as 0.17. The field is a percentage, so 17 is correct and 0.17 means almost no blocks.
  • Entering the number of white squares instead of the black-square share. Density is the proportion of blocks.
  • Typing the total cell count (225) as the grid size. The field takes the side length (15).
  • Expecting the exact answer count of a real grid. The estimate assumes an average entry length of 5, so a grid full of 3-letter fill has more words than shown and one with long theme entries has fewer.
  • Using it for a rectangular or heavily unchecked grid. The tool squares the one size you give and assumes every white cell is in both an across and a down entry.

About this calculator

The number of words (called "entries" or "answers") a crossword grid can hold depends on its size and the fraction of squares blocked out as black cells — fewer black blocks generally means longer, more numerous word runs, but American-style grids also require every white square to be part of both an across and a down word.

A standard 15×15 American daily grid, which by convention keeps roughly 16-17% of its 225 squares black under rules like those used by major outlets, typically lands in the 76–78 word range — a figure widely cited as a soft maximum in American crossword construction guidelines (in contrast, British-style "blocked" grids commonly run leaner, with less internal connectivity).

This calculator estimates word count from grid size and block density using that same relationship, giving constructors a quick sanity check before finalizing a grid's black-square pattern.

Was this helpful?

You can pick up to 3 reactions.

Comments (1)

  • Editorial team

    The estimate assumes every white square is checked, meaning it sits in both an across and a down entry, as in American grids. A fully open 5 × 5 grid with no blocks returns 10 words, which is exactly right, while a 15 × 15 at 16 percent blocks gives 76 words across 189 white cells. British-style grids leave alternate squares unchecked, so expect fewer entries than shown. How does your own block pattern compare with the figure?

Popular calculators

Loan Calculator

Monthly payment, total interest and full amortization schedule.

Percentage Calculator

Percent change, percent of, and ratio calculations.

Discount Calculator

Calculate final price, savings, and discount amount.

BMI Calculator

Body mass index from height and weight (metric or imperial).

Age Calculator

Compute your exact age in years, months and days from a birth date.

Compound Interest Calculator

Calculate the final amount and interest earned with compounding.

All Calculators