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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 541 · 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 11 + 13 × 8 − 2?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 18 − 19 × 3?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 6 − 3 + 18?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 19 × 19 + 19?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 9 − 7 ÷ 18?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 + 2 ÷ 17?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 8 − 2 × 20?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 8 + 2 ÷ 19?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 4 + 5 ÷ 2?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 3 + 3 ÷ 2?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 12 × 8 ÷ 19?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 8 ÷ 12 × 17?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 2 + 9 × 9?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 7 ÷ 18 − 4?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 5 + 6 − 2?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 12 × 19?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 3 × 15 − 15?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 4 ÷ 18 − 11?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 5 + 5 − 10?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 14 ÷ 4 + 15?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 7 ÷ 10 + 2?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 10 + 10 ÷ 3?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 12 ÷ 6 − 3?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 2 ÷ 19 + 6?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 20 + 13 × 7?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 20 − 16 + 4?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 7 × 3 ÷ 4?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 10 × 5 ÷ 10?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 8 − 17 ÷ 12?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 15 × 3 ÷ 14?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 8 × 15 + 11?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 14 + 14 ÷ 14?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 9 × 15 ÷ 6?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 5 + 2 × 19?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 + 18 − 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 15 ÷ 6 × 14?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 3 ÷ 12 + 3?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 12 − 5 ÷ 18?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 3 ÷ 4 − 7?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 11 × 13 + 2?

Answer key

  1. 139
  2. 348
  3. 17
  4. 94
  5. 133
  6. 29
  7. 24
  8. 86
  9. 1
  10. 44
  11. 59
  12. 149
  13. 9
  14. 126
  15. 17
  16. 14
  17. 6
  18. 204
  19. 1
  20. 55
  21. 16
  22. 111
  23. 50
  24. 128
  25. 114
  26. 90
  27. 6
  28. 34
  29. 134
  30. 41
  31. 170
  32. 189
  33. 93
  34. 4
  35. 17
  36. 188
  37. 49
  38. 82
  39. 28
  40. 18

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