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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 558 · 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 − 12 + 5 × 5?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 15 − 7 ÷ 19?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 16 ÷ 18 × 18?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 15 × 9 ÷ 20?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 10 − 17 + 14?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 8 − 2 ÷ 17?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 + 7 − 16 ÷ 5?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 9 × 11 ÷ 8?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 6 × 14 − 2?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 ÷ 9 × 4?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 9 + 2 − 10?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 − 4 × 14?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 + 10 × 4?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 8 + 16 × 11?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 15 + 6 ÷ 4?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 6 + 2 − 2?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 8 ÷ 12 + 14?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 6 − 13 + 2?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 9 − 11 ÷ 19?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 + 14 ÷ 5?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 12 ÷ 5 − 16?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 4 × 20 − 4?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 14 ÷ 16 × 16?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 ÷ 19 − 20?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 × 20 ÷ 17?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 4 × 9 + 3?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 19 + 7 × 20?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 14 × 6 − 10?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 12 + 12 − 2?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 11 ÷ 7 − 15?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 ÷ 15 × 9?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 8 − 3 × 19?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 17 ÷ 3?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 12 ÷ 11 × 3?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 × 11 + 11?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 2 − 16?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 4 ÷ 17 × 14?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 × 14 + 7?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 × 11 + 10?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 5 × 8 + 4?

Answer key

  1. 107
  2. 134
  3. 320
  4. 266
  5. 176
  6. 11
  7. 11
  8. 66
  9. 21
  10. 204
  11. 64
  12. 30
  13. 35
  14. 43
  15. 49
  16. 5
  17. 179
  18. 40
  19. 30
  20. 11
  21. 227
  22. 16
  23. 112
  24. 386
  25. 26
  26. 6
  27. 130
  28. 200
  29. 5
  30. 100
  31. 286
  32. 128
  33. 134
  34. 59
  35. 36
  36. 19
  37. 47
  38. 3
  39. 10
  40. 9

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