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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 922 · 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 20 + 12 × 11 − 11?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 13 × 11 ÷ 2?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 18 − 18 + 12?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 14 ÷ 7 + 20?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 × 4 + 12?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 9 × 13 + 11?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 2 − 18 ÷ 7?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 7 × 16 + 14?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 10 ÷ 6 + 6?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 12 + 15 − 20?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 5 ÷ 18 × 2?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 5 − 20 ÷ 7?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 18 ÷ 8 + 7?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 − 20 ÷ 5?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 12 × 16 + 7?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 12 − 9 + 2?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 16 × 3 − 18?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 × 20 ÷ 3?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 13 ÷ 2 × 2?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 20 × 20 + 10?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 19 ÷ 20 + 10?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 18 − 4 × 20?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 12 + 6 ÷ 7?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 ÷ 16 × 14?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 18 − 10 + 12?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 9 − 15 + 9?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 18 + 9 ÷ 20?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 7 × 2 ÷ 10?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 12 + 12?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 20 − 9 × 2?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 6 × 5 − 5?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 4 × 7 ÷ 20?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 15 ÷ 8 + 17?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 13 × 13 − 20?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 10 − 17 ÷ 3?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 17 + 16 ÷ 3?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 19 × 6 + 13?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 2 × 15 + 20?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 16 × 17 + 2?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 × 15 + 3?

Answer key

  1. 9
  2. 17
  3. 25
  4. 81
  5. 63
  6. 149
  7. 144
  8. 58
  9. 12
  10. 16
  11. 69
  12. 38
  13. 47
  14. 120
  15. 116
  16. 20
  17. 55
  18. 0
  19. 28
  20. 35
  21. 34
  22. 128
  23. 18
  24. 1
  25. 5
  26. 27
  27. 281
  28. 120
  29. 3
  30. 103
  31. 31
  32. 47
  33. 81
  34. 124
  35. 164
  36. 275
  37. 78
  38. 310
  39. 22
  40. 50

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