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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 482 · 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 12 + 2 − 5 × 7?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 13 ÷ 8 + 9?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 4 + 7 ÷ 4?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 × 12 − 4?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 9 − 6 ÷ 3?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 14 + 17 ÷ 12?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 10 ÷ 2 × 2?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 19 − 9 ÷ 6?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 × 9 ÷ 6?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 ÷ 2 + 6?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 16 ÷ 3 × 15?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 3 − 14 ÷ 10?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 14 ÷ 5 − 7?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 − 3 ÷ 10?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 ÷ 4 − 12?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 2 ÷ 10 × 7?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 4 + 4 ÷ 15?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 2 + 2 ÷ 7?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 5 + 17 ÷ 16?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 7 × 12 ÷ 10?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 7 + 8 × 8?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 14 − 19 ÷ 14?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 18 − 2?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 10 + 19 ÷ 13?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 18 × 3 − 15?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 + 14 × 13?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 16 − 5 ÷ 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 16 + 15 ÷ 20?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 17 − 4 × 2?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 5 ÷ 19 − 19?
  31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 15 − 20 + 17?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 ÷ 10 × 7?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 6 × 4 − 12?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 8 ÷ 12 + 10?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 ÷ 14 − 10?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 × 12 ÷ 15?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 4 − 14 ÷ 18?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 10 ÷ 9 − 11?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 ÷ 16 × 7?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 ÷ 8 × 19?

Answer key

  1. 37
  2. 65
  3. 35
  4. 57
  5. 0
  6. 261
  7. 201
  8. 269
  9. 87
  10. 18
  11. 116
  12. 61
  13. 25
  14. 53
  15. 49
  16. 1
  17. 4
  18. 17
  19. 73
  20. 128
  21. 16
  22. 254
  23. 140
  24. 188
  25. 156
  26. 1
  27. 98
  28. 245
  29. 45
  30. 15
  31. 303
  32. 3
  33. 55
  34. 96
  35. 41
  36. 187
  37. 43
  38. 99
  39. 13
  40. 20

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