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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 774 · 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 ÷ 19 × 16 − 6?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 9 × 9 ÷ 4?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 ÷ 13 − 9?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 + 4 × 2?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 9 ÷ 16 − 2?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 − 19 + 20?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 15 + 5 ÷ 12?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 − 9 × 6?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 5 × 2 + 11?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 14 × 11 ÷ 18?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 4 − 8 × 6?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 − 19 ÷ 12?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 19 ÷ 3 × 19?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 4 ÷ 2?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 12 × 12 ÷ 2?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 7 ÷ 13 × 4?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 4 + 2 ÷ 15?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 6 × 2 + 4?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 − 2 × 11?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 ÷ 7 + 16?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 18 − 18 × 2?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 6 + 14 × 6?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 − 10 × 13?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 13 − 2 ÷ 16?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 11 × 6 ÷ 18?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 8 − 3 + 11?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 14 × 7 − 7?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 20 + 17 × 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 ÷ 10 − 6?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 7 + 6 ÷ 18?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 ÷ 4 − 9?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 17 ÷ 19 + 12?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 9 × 7?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 + 5 × 18?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 20 ÷ 7 + 18?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 − 11 ÷ 2?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 18 × 17 ÷ 4?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 9 − 3 ÷ 10?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 × 16 ÷ 11?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 14 ÷ 7 − 6?

Answer key

  1. 89
  2. 16
  3. 224
  4. 28
  5. 32
  6. 308
  7. 2
  8. 4
  9. 1
  10. 161
  11. 3
  12. 17
  13. 51
  14. 47
  15. 11
  16. 23
  17. 17
  18. 9
  19. 17
  20. 75
  21. 21
  22. 94
  23. 53
  24. 23
  25. 166
  26. 29
  27. 3
  28. 15
  29. 0
  30. 14
  31. 65
  32. 213
  33. 26
  34. 51
  35. 289
  36. 29
  37. 56
  38. 28
  39. 195
  40. 27

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