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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 809 · 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 × 2 ÷ 9 + 10?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 4 ÷ 2 + 5?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 17 × 7 + 7?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 − 14 + 6?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 15 ÷ 11 − 20?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 15 − 15 + 12?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 4 + 10 ÷ 4?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 19 × 19 + 4?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 7 − 10 + 4?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 20 + 10 − 20?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 10 + 5 − 3?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 5 × 13 − 6?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 16 ÷ 19 + 2?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 17 ÷ 16 − 16?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 8 + 15 × 3?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 19 × 16 ÷ 11?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 ÷ 6 × 13?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 14 + 10 × 7?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 12 × 5 ÷ 15?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 15 ÷ 19 + 13?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 + 5 ÷ 3?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 3 − 7 + 7?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 16 × 15 + 18?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 17 ÷ 11 + 19?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 4 ÷ 12 − 12?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 18 − 16 × 6?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 ÷ 2 × 8?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 15 + 12 − 15?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 14 × 2 + 19?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 10 − 2 ÷ 15?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 19 ÷ 11 + 11?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 20 ÷ 19 × 17?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 3 − 11 ÷ 4?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 − 8 × 10?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 20 ÷ 13 + 9?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 − 7 ÷ 13?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 − 12 + 18?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 ÷ 19 × 2?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 9 ÷ 12 − 20?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 ÷ 20 × 14?

Answer key

  1. 95
  2. 7
  3. 324
  4. 34
  5. 211
  6. 14
  7. 4
  8. 11
  9. 44
  10. 59
  11. 12
  12. 63
  13. 24
  14. 0
  15. 43
  16. 204
  17. 16
  18. 0
  19. 82
  20. 290
  21. 16
  22. 2
  23. 269
  24. 182
  25. 157
  26. 60
  27. 114
  28. 31
  29. 138
  30. 33
  31. 361
  32. 302
  33. 58
  34. 46
  35. 112
  36. 27
  37. 13
  38. 55
  39. 240
  40. 1

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