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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 332 · 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 × 6 + 12 − 8?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 13 + 12 − 12?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 19 ÷ 7 × 6?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 8 × 11 ÷ 10?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 20 + 4 × 7?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 19 + 11 − 11?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 3 − 2 + 19?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 18 − 4 × 17?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 2 − 8 ÷ 19?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 9 − 18 + 5?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 19 × 2 ÷ 20?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 2 ÷ 9 × 9?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 × 6 ÷ 7?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 × 16 + 3?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 15 + 5 × 19?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 13 ÷ 14 + 14?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 × 18 − 3?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 15 ÷ 9 + 18?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 5 − 11?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 14 × 7 ÷ 2?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 7 − 9 ÷ 9?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 11 × 3 ÷ 8?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 6 + 12 × 4?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 5 − 15 × 11?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 7 + 20 × 2?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 9 ÷ 13 − 6?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 + 18 ÷ 15?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 16 ÷ 7 − 4?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 10 + 7 ÷ 4?
  30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 17 ÷ 10?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 19 ÷ 12 × 20?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 16 ÷ 3 − 19?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 2 + 2 ÷ 2?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 20 + 9?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 5 − 4 + 18?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 7 + 20 × 19?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 11 + 11 − 6?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 13 − 13 × 19?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 − 11 ÷ 18?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 10 × 8 ÷ 7?

Answer key

  1. 1
  2. 31
  3. 305
  4. 112
  5. 67
  6. 33
  7. 42
  8. 73
  9. 166
  10. 168
  11. 94
  12. 21
  13. 58
  14. 61
  15. 284
  16. 183
  17. 23
  18. 161
  19. 45
  20. 7
  21. 133
  22. 115
  23. 11
  24. 8
  25. 16
  26. 20
  27. 87
  28. 14
  29. 85
  30. 61
  31. 215
  32. 17
  33. 6
  34. 91
  35. 9
  36. 140
  37. 11
  38. 29
  39. 19
  40. 51

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