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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 89 · 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 − 10 ÷ 14?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 15 ÷ 18 × 9?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 9 ÷ 7 + 11?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 × 6 − 16?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 18 ÷ 14 × 6?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 9 ÷ 5 × 17?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 5 ÷ 17 + 16?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 17 + 20 × 4?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 13 ÷ 13 × 7?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 18 + 2 × 4?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 5 ÷ 20 − 6?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 10 ÷ 6 × 4?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 × 9 − 9?
  14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 15 ÷ 9 − 12?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 + 10 − 2?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 ÷ 7 × 8?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 8 ÷ 11 − 11?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 20 + 10 − 2?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 18 + 15 × 3?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 16 − 17 ÷ 6?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 8 + 4 × 13?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 19 − 13 + 3?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 14 × 4 ÷ 18?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 17 − 5 ÷ 6?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 14 − 15 ÷ 5?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 10 − 10 + 4?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 11 − 16 × 16?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 15 − 18 ÷ 11?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 12 − 16 ÷ 12?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 19 − 4 + 2?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 × 14 ÷ 14?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 3 + 3 × 9?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 ÷ 10 + 19?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 ÷ 5 × 3?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 2 − 2 ÷ 19?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 7 ÷ 18 × 3?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 15 − 15 × 3?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 7 + 16 × 16?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 11 + 7 ÷ 9?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 6 ÷ 16 × 7?

Answer key

  1. 137
  2. 144
  3. 58
  4. 20
  5. 116
  6. 30
  7. 77
  8. 13
  9. 166
  10. 200
  11. 86
  12. 92
  13. 5
  14. 98
  15. 15
  16. 3
  17. 115
  18. 7
  19. 31
  20. 139
  21. 36
  22. 35
  23. 154
  24. 16
  25. 63
  26. 111
  27. 167
  28. 279
  29. 136
  30. 52
  31. 1
  32. 12
  33. 190
  34. 104
  35. 32
  36. 127
  37. 90
  38. 13
  39. 72
  40. 33

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