Kenken 5x5 - Set 3

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Our 5x5 KenKen (mathdoku) puzzles step up the challenge from 4x4 — a great choice for students who have mastered the basics.

Choose Set:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

How to Use This Worksheet

Print: Click the print button to get a clean printout perfect for students
Practice: Read and learn each vocabulary word
Check Answers: Review with students or use for self-checking
Download PDF: Save a copy for offline use or printing later

Learning Benefits

This vocabulary list helps students develop vocabulary, spelling, and reading comprehension skills. Regular practice builds confidence and fluency.

How hard is a 5x5 KenKen?

The 5x5 grid is beginner-to-intermediate — harder than 4x4 but still approachable for most students.

Can I print 5x5 KenKen puzzles?

Yes — click Print on any puzzle page to download a clean PDF with solution.

Is a solution included?

Every puzzle includes a fully verified solution.

How to Play

MathDoku puzzles exercise both logical deduction and mental arithmetic in a compact grid format. Each cage's target and operation constrain which digits can appear inside it, and the Latin-square rule — no repeats in any row or column — further restricts placements. Smaller cages with division or subtraction are especially powerful because they have very few valid fills: a two-cell subtraction cage with target one on a six-by-six grid can only hold consecutive digit pairs. Solving efficiently requires balancing cage arithmetic with row-column elimination. Each puzzle on this page has exactly one valid solution. Before placing digits, note the grid size because it determines the digit range — a four-by-four grid uses digits one through four, while a six-by-six grid uses one through six.

What This Page Is

MathDoku, also known as KenKen or Calcudoku, is an arithmetic logic puzzle on an N-by-N grid divided into groups of cells called cages. Each cage displays a target number and an arithmetic operation, and the solver must fill digits so that applying the operation to the cage's digits produces the target.

Goal

Place digits from one through N in every cell of the grid so that no digit repeats in any row or column and every cage's digits combine under its specified operation to produce the cage's target number.

Note the grid size N to determine the valid digit range from one through N for every cell in the puzzle.
Examine single-cell cages first — these are freebies with the target digit placed directly since no operation applies.
For each multi-cell cage, list all digit combinations that produce the target under the given operation without repeating a digit if the cage spans a single row or column.
Cross-reference cage candidate lists with row and column constraints to eliminate impossible digits from shared positions.
Fill confirmed cells and propagate eliminations across intersecting rows, columns, and cages until every cell is determined.

Rules

Each row and each column must contain every digit from one through N exactly once, forming a valid Latin square.
The digits within each cage must produce the cage's target number when combined using the specified arithmetic operation in any order.

Tip

Subtraction and division cages in a two-cell group are the most restrictive — solve these first because they typically admit only one or two digit pairs, anchoring large sections of the grid early.