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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 666 · 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 18 × 2 + 15 ÷ 13?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 × 18 − 12?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 18 × 8 ÷ 9?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 14 × 16 − 16?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 9 + 7 × 17?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 10 × 8 − 11?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 9 ÷ 4 + 16?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 13 − 17 ÷ 2?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 + 7 ÷ 9?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 7 ÷ 5 + 19?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 14 ÷ 2 × 2?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 11 × 4 + 6?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 10 − 5 × 3?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 2 ÷ 17 × 12?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 13 ÷ 3 + 11?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 5 × 3 − 6?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 18 + 18 − 2?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 15 ÷ 17 + 3?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 3 × 15 ÷ 9?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 × 5 ÷ 13?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 × 8 ÷ 20?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 14 ÷ 7 + 8?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 18 + 18 − 16?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 20 × 2 ÷ 18?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 13 + 13 ÷ 5?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 8 − 11 ÷ 17?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 2 − 5 + 16?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 3 × 10 + 18?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 3 + 16 × 9?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 19 + 13 ÷ 4?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 15 ÷ 9?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 11 ÷ 18 − 19?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 17 + 6 × 13?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 5 + 7 − 7?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 15 ÷ 12 + 3?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 18 − 3 + 13?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 4 ÷ 10 + 13?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 7 − 6 × 3?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 3 ÷ 4 × 18?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 9 + 7 × 3?

Answer key

  1. 7
  2. 217
  3. 37
  4. 1
  5. 190
  6. 83
  7. 40
  8. 23
  9. 50
  10. 97
  11. 139
  12. 141
  13. 21
  14. 27
  15. 57
  16. 33
  17. 4
  18. 164
  19. 30
  20. 45
  21. 60
  22. 109
  23. 3
  24. 284
  25. 2
  26. 188
  27. 0
  28. 179
  29. 51
  30. 246
  31. 7
  32. 67
  33. 47
  34. 94
  35. 30
  36. 87
  37. 143
  38. 6
  39. 4
  40. 27

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