Fix the Equation129 puzzles

Fix the Equation

Fix a false equation by moving matches between the digits and signs, by taking some away or by adding new ones.

Addition, One Move

False addition equations made of matchstick digits, like on a digital display. Each one needs just one move.

  1. 1 · No. 33Addition: 6 + 4 = 418 matches · 1 move
  2. 2 · No. 476Addition: 5 + 9 = 921 matches · 1 move
  3. 3 · No. 477Addition: 6 + 4 = 319 matches · 1 move
  4. 4 · No. 87Addition: 2 + 8 = 022 matches · 1 move
  5. 5 · No. 35Addition: 3 + 3 = 821 matches · 1 move
  6. 6 · No. 478Addition: 8 + 3 = 321 matches · 1 move
  7. 7 · No. 34Addition: 5 + 7 = 217 matches · 1 move
  8. 8 · No. 37Addition: 9 + 5 = 621 matches · 1 move
  9. 9 · No. 479Addition: 6 + 1 = 1219 matches · 1 move
  10. 10 · No. 480Addition: 8 + 9 = 1025 matches · 1 move
  11. 11 · No. 88Addition: 1 + 9 = 7621 matches · 1 move
  12. 12 · No. 40Addition: 6 + 9 = 1825 matches · 1 move
  13. 13 · No. 89Addition: 40 + 2 = 5831 matches · 1 move

Subtraction, One Move

False subtraction equations made of matchstick digits. Each one needs just one move.

  1. 1 · No. 36Subtraction: 8 − 3 = 921 matches · 1 move
  2. 2 · No. 90Subtraction: 6 − 9 = 320 matches · 1 move
  3. 3 · No. 91Subtraction: 5 − 8 = 320 matches · 1 move
  4. 4 · No. 481Subtraction: 6 − 4 = 318 matches · 1 move
  5. 5 · No. 92Subtraction: 4 − 1 = 915 matches · 1 move
  6. 6 · No. 93Subtraction: 18 − 9 = 825 matches · 1 move
  7. 7 · No. 94Subtraction: 9 − 1 = 1820 matches · 1 move
  8. 8 · No. 95Subtraction: 12 − 1 = 618 matches · 1 move
  9. 9 · No. 482Subtraction: 96 − 5 = 8332 matches · 1 move
  10. 10 · No. 96Subtraction: 86 − 6 = 9835 matches · 1 move
  11. 11 · No. 483Subtraction: 12 − 7 = 1822 matches · 1 move

Two Operations, One Move

Longer equations, with three numbers and two operation signs on the left. The signs vary, but each one needs just one move.

  1. 1 · No. 97Two Operations: 1 + 6 + 3 = 324 matches · 1 move
  2. 2 · No. 98Two Operations: 4 + 4 + 7 = 522 matches · 1 move
  3. 3 · No. 99Two Operations: 5 + 2 − 6 = 326 matches · 1 move
  4. 4 · No. 100Two Operations: 6 − 2 + 3 = 828 matches · 1 move
  5. 5 · No. 101Two Operations: 8 + 5 + 2 = 1230 matches · 1 move
  6. 6 · No. 102Two Operations: 3 − 5 − 4 = 825 matches · 1 move
  7. 7 · No. 103Two Operations: 9 + 4 − 7 = 1225 matches · 1 move
  8. 8 · No. 104Two Operations: 7 − 3 + 5 = 1827 matches · 1 move

Addition, Two Moves

False addition equations where one match is not enough: move two. Several digits may have to change at once.

  1. 1 · No. 105Addition: 3 + 4 = 115 matches · 2 moves
  2. 2 · No. 106Addition: 6 + 3 = 117 matches · 2 moves
  3. 3 · No. 38Addition: 1 + 7 = 314 matches · 2 moves
  4. 4 · No. 107Addition: 5 + 5 = 4223 matches · 2 moves
  5. 5 · No. 108Addition: 9 + 9 = 7826 matches · 2 moves
  6. 6 · No. 109Addition: 10 + 9 = 024 matches · 2 moves
  7. 7 · No. 110Addition: 37 + 5 = 6929 matches · 2 moves
  8. 8 · No. 111Addition: 72 + 4 = 521 matches · 2 moves

Subtraction, Two Moves

False subtraction equations where one match is not enough: move two. Several digits may have to change at once.

  1. 1 · No. 112Subtraction: 6 − 7 = 618 matches · 2 moves
  2. 2 · No. 113Subtraction: 1 − 6 = 017 matches · 2 moves
  3. 3 · No. 114Subtraction: 8 − 9 = 719 matches · 2 moves
  4. 4 · No. 115Subtraction: 9 − 4 = 7022 matches · 2 moves
  5. 5 · No. 116Subtraction: 40 − 2 = 523 matches · 2 moves
  6. 6 · No. 117Subtraction: 17 − 6 = 219 matches · 2 moves
  7. 7 · No. 118Subtraction: 3 − 8 = 4722 matches · 2 moves
  8. 8 · No. 119Subtraction: 68 − 5 = 4631 matches · 2 moves

Addition, Three Moves

The hardest addition puzzles: move three matches, and every equation has a two-digit number.

  1. 1 · No. 120Addition: 7 + 5 = 3720 matches · 3 moves
  2. 2 · No. 121Addition: 9 + 2 = 4524 matches · 3 moves
  3. 3 · No. 122Addition: 15 + 1 = 115 matches · 3 moves
  4. 4 · No. 123Addition: 4 + 3 = 4119 matches · 3 moves
  5. 5 · No. 124Addition: 73 + 2 = 119 matches · 3 moves
  6. 6 · No. 125Addition: 62 + 2 = 2728 matches · 3 moves
  7. 7 · No. 126Addition: 45 + 4 = 522 matches · 3 moves
  8. 8 · No. 127Addition: 13 + 1 = 6224 matches · 3 moves

Subtraction, Three Moves

The hardest subtraction puzzles: move three matches, mostly with two-digit numbers.

  1. 1 · No. 128Subtraction: 8 − 4 = 4120 matches · 3 moves
  2. 2 · No. 484Subtraction: 3 − 1 = 713 matches · 3 moves
  3. 3 · No. 39Subtraction: 4 − 7 = 112 matches · 3 moves
  4. 4 · No. 129Subtraction: 2 − 6 = 4323 matches · 3 moves
  5. 5 · No. 130Subtraction: 30 − 1 = 521 matches · 3 moves
  6. 6 · No. 131Subtraction: 7 − 1 = 7516 matches · 3 moves
  7. 7 · No. 132Subtraction: 44 − 7 = 020 matches · 3 moves
  8. 8 · No. 133Subtraction: 93 − 2 = 2229 matches · 3 moves
  9. 9 · No. 134Subtraction: 62 − 1 = 1825 matches · 3 moves

Two Operations, Two Moves

Equations with three numbers on the left where one match is not enough: move two. Both plus and minus signs appear, and the result can have two digits.

  1. 1 · No. 135Two Operations: 2 + 4 − 2 = 224 matches · 2 moves
  2. 2 · No. 136Two Operations: 7 + 2 + 7 = 119 matches · 2 moves
  3. 3 · No. 137Two Operations: 1 − 6 + 7 = 420 matches · 2 moves
  4. 4 · No. 138Two Operations: 5 − 4 − 1 = 320 matches · 2 moves
  5. 5 · No. 139Two Operations: 3 + 3 + 5 = 2833 matches · 2 moves
  6. 6 · No. 140Two Operations: 4 − 7 + 2 = 7026 matches · 2 moves
  7. 7 · No. 141Two Operations: 8 − 9 − 5 = 1831 matches · 2 moves
  8. 8 · No. 142Two Operations: 6 + 8 − 7 = 7229 matches · 2 moves

Two Operations, Three Moves

The hardest two-operation puzzles: move three matches; the result almost always has two digits.

  1. 1 · No. 143Two Operations: 5 − 1 − 4 = 220 matches · 3 moves
  2. 2 · No. 144Two Operations: 6 + 6 + 7 = 3531 matches · 3 moves
  3. 3 · No. 145Two Operations: 3 + 8 − 1 = 4228 matches · 3 moves
  4. 4 · No. 146Two Operations: 7 + 5 + 5 = 6931 matches · 3 moves
  5. 5 · No. 147Two Operations: 1 + 1 − 4 = 4623 matches · 3 moves
  6. 6 · No. 148Two Operations: 2 − 5 − 7 = 7525 matches · 3 moves
  7. 7 · No. 149Two Operations: 8 − 7 + 8 = 4531 matches · 3 moves
  8. 8 · No. 150Two Operations: 9 − 2 + 9 = 8836 matches · 3 moves

Take One Away

False equations that become true once you take away one match. Nothing moves: just click the match that has to go.

  1. 1 · No. 396Addition: 7 + 8 = 920 matches · remove 1 match
  2. 2 · No. 397Subtraction: 9 − 9 = 822 matches · remove 1 match
  3. 3 · No. 398Addition: 8 + 7 = 1922 matches · remove 1 match
  4. 4 · No. 399Subtraction: 18 − 9 = 721 matches · remove 1 match
  5. 5 · No. 400Addition: 86 + 9 = 9635 matches · remove 1 match
  6. 6 · No. 401Addition: 89 + 6 = 8936 matches · remove 1 match
  7. 7 · No. 402Two Operations: 5 + 8 + 9 = 630 matches · remove 1 match
  8. 8 · No. 403Two Operations: 6 + 9 + 8 = 2434 matches · remove 1 match

Take Two Away

False equations that need exactly two matches taken away. Addition and subtraction, one- and two-digit numbers, and a couple with two operations.

  1. 1 · No. 404Subtraction: 9 − 8 = 622 matches · remove 2 matches
  2. 2 · No. 405Addition: 8 + 7 = 821 matches · remove 2 matches
  3. 3 · No. 406Subtraction: 16 − 8 = 924 matches · remove 2 matches
  4. 4 · No. 407Addition: 6 + 9 = 7925 matches · remove 2 matches
  5. 5 · No. 408Subtraction: 89 − 9 = 6634 matches · remove 2 matches
  6. 6 · No. 409Addition: 49 + 6 = 6932 matches · remove 2 matches
  7. 7 · No. 410Two Operations: 7 + 8 − 9 = 326 matches · remove 2 matches
  8. 8 · No. 411Two Operations: 5 + 8 + 6 = 2836 matches · remove 2 matches

Take Three Away

The hardest of the Take Away sets: exactly three matches have to go.

  1. 1 · No. 412Addition: 8 + 6 = 720 matches · remove 3 matches
  2. 2 · No. 413Subtraction: 48 − 7 = 923 matches · remove 3 matches
  3. 3 · No. 414Addition: 3 + 9 = 7825 matches · remove 3 matches
  4. 4 · No. 415Subtraction: 62 − 7 = 9830 matches · remove 3 matches
  5. 5 · No. 416Subtraction: 89 − 5 = 6933 matches · remove 3 matches
  6. 6 · No. 417Two Operations: 9 + 4 + 3 = 1929 matches · remove 3 matches
  7. 7 · No. 418Two Operations: 1 − 9 + 3 = 825 matches · remove 3 matches
  8. 8 · No. 419Two Operations: 7 − 9 + 9 = 1829 matches · remove 3 matches

One More Match

False equations that become true once you add one match. Nothing is moved or taken away: click the empty place where the new match goes.

  1. 1 · No. 420Addition: 4 + 5 = 518 matches · add 1 match
  2. 2 · No. 421Subtraction: 5 − 5 = 115 matches · add 1 match
  3. 3 · No. 422Addition: 7 + 6 = 1520 matches · add 1 match
  4. 4 · No. 423Subtraction: 11 − 3 = 918 matches · add 1 match
  5. 5 · No. 424Subtraction: 51 − 7 = 5024 matches · add 1 match
  6. 6 · No. 425Subtraction: 53 − 4 = 5725 matches · add 1 match
  7. 7 · No. 426Two Operations: 9 + 5 − 5 = 326 matches · add 1 match
  8. 8 · No. 427Two Operations: 3 + 9 + 6 = 1031 matches · add 1 match

Two More Matches

False equations that need exactly two matches added. Addition and subtraction, one- and two-digit numbers, and a couple with two operations.

  1. 1 · No. 428Subtraction: 1 − 1 = 512 matches · add 2 matches
  2. 2 · No. 429Subtraction: 5 − 6 = 116 matches · add 2 matches
  3. 3 · No. 430Addition: 3 + 5 = 1521 matches · add 2 matches
  4. 4 · No. 431Subtraction: 17 − 5 = 019 matches · add 2 matches
  5. 5 · No. 432Subtraction: 55 − 1 = 4625 matches · add 2 matches
  6. 6 · No. 433Subtraction: 53 − 1 = 5026 matches · add 2 matches
  7. 7 · No. 434Two Operations: 7 − 1 − 7 = 317 matches · add 2 matches
  8. 8 · No. 435Two Operations: 6 − 5 − 5 = 1628 matches · add 2 matches

Three More Matches

The hardest of the More Matches sets: exactly three matches have to be added.

  1. 1 · No. 436Subtraction: 5 − 5 = 716 matches · add 3 matches
  2. 2 · No. 437Subtraction: 3 − 5 = 1117 matches · add 3 matches
  3. 3 · No. 438Subtraction: 17 − 7 = 516 matches · add 3 matches
  4. 4 · No. 439Subtraction: 13 − 7 = 4222 matches · add 3 matches
  5. 5 · No. 440Two Operations: 7 + 5 − 7 = 022 matches · add 3 matches
  6. 6 · No. 441Subtraction: 39 − 1 = 5724 matches · add 3 matches
  7. 7 · No. 442Two Operations: 1 + 7 + 7 = 1622 matches · add 3 matches
  8. 8 · No. 443Two Operations: 2 + 5 − 1 = 1324 matches · add 3 matches