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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 144 · 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 − 10 + 11 × 14?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 9 + 7 ÷ 14?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 14 − 5 ÷ 5?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 6 ÷ 18 + 17?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 13 + 18 ÷ 18?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 19 − 14 × 18?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 × 5 ÷ 2?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 6 ÷ 8?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 14 × 3 + 13?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 11 − 16 + 2?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 20 ÷ 2 + 6?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 4 × 20 + 5?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 14 − 5 ÷ 10?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 2 + 2 − 17?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 16 + 12 × 5?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 15 + 3 − 9?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 7 + 15 × 3?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 × 16 + 10?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 10 ÷ 3 + 14?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 20 × 20 ÷ 12?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 18 × 19 − 3?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 5 − 11 ÷ 9?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 3 − 6 × 18?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 16 − 4 ÷ 15?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 3 + 7 − 3?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 8 ÷ 13 − 6?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 ÷ 20 − 12?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 16 − 4 ÷ 4?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 2 − 19 × 17?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 12 + 6 ÷ 9?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 9 ÷ 4 × 4?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 6 − 4 × 13?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 4 − 8 ÷ 8?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 12 − 12 + 7?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 11 ÷ 12 + 12?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 17 ÷ 4 − 15?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 × 5 ÷ 10?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 13 × 13 + 11?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 × 7 − 19?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 6 × 2 + 6?

Answer key

  1. 4
  2. 28
  3. 25
  4. 102
  5. 231
  6. 224
  7. 72
  8. 0
  9. 71
  10. 2
  11. 48
  12. 91
  13. 46
  14. 20
  15. 15
  16. 19
  17. 20
  18. 34
  19. 41
  20. 272
  21. 50
  22. 58
  23. 12
  24. 19
  25. 13
  26. 83
  27. 76
  28. 2
  29. 26
  30. 49
  31. 43
  32. 111
  33. 44
  34. 19
  35. 125
  36. 48
  37. 35
  38. 197
  39. 149
  40. 9

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