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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 890 · 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 10 ÷ 7 − 7 + 2?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 20 − 4 + 15?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 17 ÷ 8 − 2?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 18 − 5?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 19 ÷ 14 + 10?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 2 ÷ 11 × 18?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 2 × 4 ÷ 15?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 3 ÷ 16?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 19 × 10 − 4?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 11 ÷ 7 − 13?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 17 ÷ 4 − 20?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 9 ÷ 15 + 6?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 13 − 2 ÷ 13?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 × 7 − 4?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 11 ÷ 2 × 7?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 ÷ 7 × 5?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 17 ÷ 14 − 14?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 ÷ 8 + 3?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 9 − 14 × 9?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 16 − 11 ÷ 4?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 16 + 15 ÷ 14?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 15 + 7 × 7?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 6 − 12 ÷ 9?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 2 − 4 ÷ 14?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 7 × 20 ÷ 4?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 6 − 16 ÷ 9?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 19 + 5 ÷ 20?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 15 + 14 ÷ 18?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 16 ÷ 8 × 18?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 18 ÷ 5 − 9?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 × 7 ÷ 8?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 6 × 12 + 2?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 12 ÷ 2 − 6?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 17 × 6 − 11?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 15 × 18 − 7?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 20 − 15 ÷ 17?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 3 ÷ 15 × 19?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 19 × 10 − 17?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 16 × 15 + 8?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 14 + 13 ÷ 6?

Answer key

  1. 57
  2. 92
  3. 11
  4. 97
  5. 137
  6. 21
  7. 68
  8. 50
  9. 32
  10. 95
  11. 82
  12. 134
  13. 18
  14. 39
  15. 170
  16. 26
  17. 36
  18. 47
  19. 125
  20. 48
  21. 237
  22. 22
  23. 111
  24. 0
  25. 121
  26. 151
  27. 81
  28. 201
  29. 106
  30. 184
  31. 19
  32. 52
  33. 1
  34. 56
  35. 274
  36. 244
  37. 34
  38. 166
  39. 115
  40. 185

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