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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 556 · 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 10 + 3 × 18 ÷ 19?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 12 × 11 + 11?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 17 ÷ 5 − 4?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 15 − 5 ÷ 9?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 ÷ 4 − 14?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 20 + 6 × 6?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 19 − 12 ÷ 10?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 18 ÷ 7?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 ÷ 3 × 2?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 17 − 17 × 14?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 3 − 2 ÷ 14?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 14 × 7 + 14?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 12 × 17 ÷ 8?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 7 × 20 − 18?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 19 ÷ 20 × 20?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 × 12 ÷ 12?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 12 − 9 + 19?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 8 × 17 ÷ 9?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 12 ÷ 14 × 8?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 + 12 ÷ 7?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 13 ÷ 4 + 8?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 9 ÷ 3 × 11?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 6 ÷ 2 × 11?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 17 × 17 − 12?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 10 − 3 × 17?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 10 + 5 − 6?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 2 ÷ 7 × 20?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 12 × 14 − 15?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 × 18 + 8?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 7 × 11 − 15?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 × 4 ÷ 2?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 4 ÷ 18 − 3?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 19 × 20 + 4?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 × 13 ÷ 16?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 5 + 2 ÷ 4?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 8 − 7 ÷ 8?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 6 − 12 + 9?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 3 × 8 + 13?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 2 ÷ 3 + 2?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 19 + 17 − 15?

Answer key

  1. 31
  2. 193
  3. 13
  4. 161
  5. 9
  6. 24
  7. 104
  8. 137
  9. 6
  10. 33
  11. 42
  12. 175
  13. 57
  14. 26
  15. 38
  16. 5
  17. 96
  18. 157
  19. 90
  20. 223
  21. 61
  22. 17
  23. 18
  24. 28
  25. 96
  26. 3
  27. 2
  28. 218
  29. 145
  30. 178
  31. 18
  32. 16
  33. 21
  34. 204
  35. 47
  36. 59
  37. 71
  38. 106
  39. 1
  40. 302

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