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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 621 · 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 7 − 9 × 13 ÷ 4?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 8 + 3 ÷ 14?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 9 ÷ 8 − 20?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 + 20 ÷ 19?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 9 ÷ 3 × 19?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 6 − 20 ÷ 6?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 + 11 ÷ 18?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 17 ÷ 2 + 2?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 8 + 4 ÷ 13?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 − 9 ÷ 4?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 3 × 16 − 20?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 20 − 14 ÷ 13?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 ÷ 2 − 14?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 18 − 6 + 4?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 16 × 2 − 16?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 7 × 5?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 15 − 8 × 12?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 7 − 10 + 16?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 4 − 7 × 12?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 13 ÷ 19 − 19?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 × 16 ÷ 12?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 11 − 12 + 16?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 9 ÷ 13?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 + 10 ÷ 8?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 + 7 × 12?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 4 + 2 ÷ 11?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 9 × 9 + 9?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 ÷ 3 − 4?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 ÷ 4 − 2?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 × 2 − 7?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 14 × 14 + 2?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 18 + 2 × 15?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 14 ÷ 18 − 8?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 − 6 ÷ 5?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 4 ÷ 18 − 9?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 10 + 3 − 13?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 2 × 12 + 19?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 × 20 ÷ 7?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 5 + 12 − 16?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 ÷ 18 × 11?

Answer key

  1. 72
  2. 18
  3. 156
  4. 39
  5. 160
  6. 121
  7. 115
  8. 103
  9. 23
  10. 115
  11. 58
  12. 281
  13. 17
  14. 0
  15. 78
  16. 2
  17. 29
  18. 166
  19. 4
  20. 129
  21. 6
  22. 186
  23. 0
  24. 25
  25. 47
  26. 9
  27. 2
  28. 31
  29. 15
  30. 37
  31. 77
  32. 24
  33. 139
  34. 34
  35. 58
  36. 16
  37. 232
  38. 144
  39. 74
  40. 103

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