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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 663 · 40 questions
TalentJR

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

NameDateTime takenScore ___ / 40
  1. 1.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 13 − 13 ÷ 6?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 14 ÷ 15 + 11?
  3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 9 ÷ 4 × 20?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 19 + 15 ÷ 2?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 14 ÷ 8 − 2?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 13 ÷ 10 + 13?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 13 − 8 × 4?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 5 ÷ 19 − 6?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 6 + 9 × 3?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 − 7 × 9?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 14 + 8 ÷ 4?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 13 + 13 ÷ 17?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 10 × 6 + 14?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 3 + 19 ÷ 16?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 20 − 5 × 12?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 5 + 16 × 2?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 7 × 6 ÷ 18?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 11 − 7 ÷ 5?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 6 ÷ 15 − 5?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 + 20 × 5?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 × 5 − 5?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 16 − 10 × 7?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 12 − 10 ÷ 17?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 19 − 13 ÷ 19?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 9 × 6 + 12?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 19 + 4 ÷ 6?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 7 × 18 + 9?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 − 6 + 9?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 6 ÷ 6 + 15?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 13 ÷ 2 × 4?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 13 + 5 ÷ 20?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 20 − 7 ÷ 13?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 16 − 11 + 6?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 12 + 16 × 8?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 13 × 7 ÷ 12?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 20 × 6 ÷ 11?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 13 ÷ 18 − 16?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 4 + 5 × 12?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 15 + 14 × 13?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 4 ÷ 20 − 18?

Answer key

  1. 74
  2. 214
  3. 70
  4. 296
  5. 17
  6. 257
  7. 119
  8. 114
  9. 67
  10. 11
  11. 124
  12. 19
  13. 82
  14. 48
  15. 94
  16. 10
  17. 104
  18. 26
  19. 81
  20. 251
  21. 19
  22. 169
  23. 173
  24. 232
  25. 70
  26. 59
  27. 17
  28. 27
  29. 99
  30. 158
  31. 52
  32. 75
  33. 68
  34. 106
  35. 138
  36. 385
  37. 277
  38. 20
  39. 212
  40. 364

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