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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 388 · 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 14 − 7 ÷ 18 + 19?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 − 11 ÷ 3?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 9 + 5 ÷ 13?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 9 × 4 + 4?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 5 × 10 ÷ 8?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 − 13 ÷ 8?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 8 × 16 ÷ 17?
  8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 16 × 2 ÷ 19?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 20 ÷ 12 + 3?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 9 − 4 + 17?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 15 + 9 ÷ 20?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 7 × 4 ÷ 18?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 16 + 5 × 18?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 7 ÷ 8 + 4?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 8 − 8 × 2?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 15 × 12 ÷ 19?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 14 + 19 ÷ 8?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 9 × 5 − 8?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 × 13 ÷ 13?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 3 ÷ 7 + 9?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 × 4 ÷ 4?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 16 ÷ 10 + 5?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 2 ÷ 13 + 17?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 × 9 − 3?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 4 ÷ 9 + 13?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 − 8 + 16?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 3 − 4 × 2?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 12 × 3 ÷ 5?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 20 − 17 + 19?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 14 + 9 ÷ 3?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 6 − 18 ÷ 10?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 7 × 19 ÷ 4?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 × 4 ÷ 2?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 ÷ 13 × 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 14 × 7 ÷ 3?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 5 × 6 ÷ 16?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 14 × 6 ÷ 6?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 16 + 3 × 19?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 8 × 20 + 4?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 13 + 13 ÷ 14?

Answer key

  1. 97
  2. 36
  3. 47
  4. 80
  5. 52
  6. 73
  7. 274
  8. 145
  9. 104
  10. 34
  11. 133
  12. 16
  13. 189
  14. 65
  15. 2
  16. 157
  17. 273
  18. 38
  19. 1
  20. 20
  21. 8
  22. 20
  23. 230
  24. 43
  25. 34
  26. 1
  27. 11
  28. 9
  29. 58
  30. 137
  31. 187
  32. 71
  33. 23
  34. 241
  35. 12
  36. 80
  37. 210
  38. 42
  39. 85
  40. 157

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