Calcudoku puzzles
Sudoku with sums: every row and column once, every cage its target.
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Example
Four 4 × 4 calcudoku puzzles with all four operations, and how the first one opens up
A fifth-grade teacher wants a warm-up for the math centre. She keeps the page’s settings: Calcudoku, Grid 4 × 4, Operations “All four”, 4 puzzles on the page, answer page on, sheet number 1, US Letter. The first puzzle (columns A–D, rows 1–4) has the cages 12× in A1-B1, 1 in C1, 6× in D1-C2-D2, 2÷ in A2-B2, 5+ in A3-B3-A4, 2– in C3-D3, 2 in B4 and 1– in C4-D4.
- 12× in two squares can only be 3 × 4, so A1 and B1 are 3 and 4. Row 1 then needs 1 and 2: C1 is given as 1, so D1 = 2.
- The 6× cage with D1 = 2 needs C2 × D2 = 3, so 1 and 3; column C already has its 1, so C2 = 3 and D2 = 1.
- 2÷ in A2-B2 is 1 and 2 or 2 and 4; row 2 has 1 and 3, so 2 and 4. B4 = 2 rules out B2 = 2: B2 = 4, A2 = 2, so B1 = 3 and A1 = 4.
- 2– in C3-D3 can only be 2 and 4 (D3 cannot be 2), so C3 = 2, D3 = 4. The rest follows: C4 = 4, D4 = 3, A4 = 1, A3 = 3, B3 = 1, and 3 + 1 + 1 makes the 5+.
| A | B | C | D | |
|---|---|---|---|---|
| 1 | 4 | 3 | 1 | 2 |
| 2 | 2 | 4 | 3 | 1 |
| 3 | 3 | 1 | 2 | 4 |
| 4 | 1 | 2 | 4 | 3 |
calcudoku.pdf, two Letter pages: four puzzles with the rule under the title and Name and Date lines, then “Calcudoku — Answers” with the grids filled in. The other three bring a 4÷ cage, a 24× and a 16×. Sheet number 2 gives four new puzzles for next week.
How it works
- Choose the grid: 4 × 4 for beginners, 6 × 6 for a longer puzzle.
- Choose the operations: addition only, add and subtract, or all four.
- Choose how many puzzles go on the page.
- Download the PDF; the answers are on the second page.
Frequently asked questions
- How is calcudoku played?
- Each row and column holds the numbers 1 to the size of the grid once. The bold cages each show a target and an operation: 7+ means the numbers in it add to 7, 2÷ that one is twice the other. A single-square cage gives its number.
- Does each puzzle have only one answer?
- Yes. Every puzzle is solved by the generator before it is printed, and one with a second answer is thrown away and cut again.
- Where can subtraction and division appear?
- Only in two-square cages, as usual: the larger number minus or divided by the smaller. Larger cages add or multiply.
- How do I get different puzzles?
- Change the sheet number. The same settings and the same number always give the same puzzles, so a sheet can be printed again later, or a class can share one; number 2, 3 and on give new ones. Changing the grid, the operations or the number of puzzles also changes them.
- Which other puzzles can it make?
- Kakuro (a crossword of sums, 6 × 6 or 7 × 7), futoshiki (greater-than signs) and skyscrapers, 4 × 4 to 7 × 7 in three levels, and the binary puzzle of 0s and 1s, 6 × 6 to 12 × 12. Up to six go on a page; 7 × 7 grids and 10 × 10 binary puzzles four, 12 × 12 binary and hard kakuro two.
- Is anything uploaded?
- No. The sheet is made in your browser. On the free plan a small line with our name is printed at the foot of the last page.