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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 221 · 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 11 × 13 ÷ 7 + 11?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 7 − 12 + 11?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 10 − 8 + 8?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 18 − 6 ÷ 5?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 5 ÷ 13 + 20?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 4 − 19 + 16?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 4 − 13 + 2?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 19 ÷ 10 + 2?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 15 − 11 ÷ 8?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 14 − 19 × 19?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 11 + 3 − 9?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 17 + 3 × 15?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 5 ÷ 14 + 10?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 3 ÷ 15 + 6?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 18 − 11 + 6?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 3 − 8 ÷ 5?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 9 × 18 + 8?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 6 − 12?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 10 ÷ 9 + 13?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 6 − 14 ÷ 6?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 4 − 4 + 5?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 18 × 2 ÷ 11?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 × 19 + 2?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 ÷ 20 + 16?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 18 − 20 ÷ 2?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 2 ÷ 20 + 4?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 19 − 9 ÷ 6?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 13 × 5 + 19?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 ÷ 15 − 15?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 19 + 9 × 9?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 2 × 3 − 2?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 × 2 + 14?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 11 × 9 − 12?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 16 − 8 × 16?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 14 × 20 + 10?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 17 ÷ 12 × 10?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 5 + 13 − 3?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 18 × 20 − 9?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 12 × 2 + 5?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 × 11 + 16?

Answer key

  1. 75
  2. 83
  3. 26
  4. 6
  5. 265
  6. 80
  7. 23
  8. 274
  9. 75
  10. 251
  11. 83
  12. 47
  13. 67
  14. 51
  15. 49
  16. 47
  17. 0
  18. 74
  19. 196
  20. 83
  21. 21
  22. 45
  23. 41
  24. 321
  25. 41
  26. 7
  27. 212
  28. 129
  29. 47
  30. 265
  31. 15
  32. 6
  33. 106
  34. 11
  35. 16
  36. 207
  37. 50
  38. 178
  39. 5
  40. 177

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