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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 79 · 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 ÷ 4 − 16?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 17 ÷ 6 × 17?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 15 ÷ 9?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 2 ÷ 3 × 6?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 + 3 − 12?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 7 + 18 × 9?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 3 − 3 × 6?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 11 − 17 ÷ 3?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 2 × 5?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 2 ÷ 15 + 10?
  11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 20 + 12 − 3?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 3 + 18 ÷ 8?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 2 ÷ 17 − 8?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 5 + 5 − 8?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 2 ÷ 9 − 6?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 ÷ 8 + 5?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 7 ÷ 7 + 7?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 13 × 4 ÷ 16?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 19 ÷ 7 − 19?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 20 − 4 × 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 18 × 2 ÷ 5?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 18 − 16 + 7?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 ÷ 10 − 13?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 ÷ 8 + 2?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 19 ÷ 15 − 18?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 3 × 13 ÷ 4?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 12 − 19 ÷ 11?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 5 ÷ 15 × 3?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 − 3 ÷ 19?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 9 − 9 ÷ 2?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 6 + 2 − 2?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 14 − 8 ÷ 2?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 20 × 16 ÷ 19?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 2 ÷ 6 − 3?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 × 12 + 4?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 × 17 ÷ 7?
  37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 15 × 6 ÷ 3?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 ÷ 4 × 18?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 18 ÷ 8 − 2?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 16 − 9 × 9?

Answer key

  1. 66
  2. 283
  3. 142
  4. 6
  5. 112
  6. 12
  7. 6
  8. 44
  9. 87
  10. 3
  11. 35
  12. 54
  13. 110
  14. 17
  15. 22
  16. 80
  17. 25
  18. 59
  19. 183
  20. 0
  21. 201
  22. 285
  23. 133
  24. 194
  25. 253
  26. 36
  27. 215
  28. 2
  29. 65
  30. 17
  31. 26
  32. 7
  33. 295
  34. 15
  35. 68
  36. 70
  37. 78
  38. 16
  39. 14
  40. 21

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