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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 150 · 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 ÷ 7 × 4 + 15?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 16 × 17 + 17?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 − 10 ÷ 4?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 3 × 20 − 10?
  5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 ÷ 9 + 4?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 8 − 19 ÷ 6?
  7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 6 − 2 × 2?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 ÷ 15 + 19?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 19 × 19?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 8 + 18 − 8?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 × 5 ÷ 9?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 × 7 ÷ 7?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 2 + 4 − 9?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 3 − 16 × 13?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 15 ÷ 9 × 6?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 10 + 3 ÷ 9?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 20 × 10 − 19?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 10 + 8 − 19?
  19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 × 6 − 2?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 4 − 3 × 20?
  21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 − 7 ÷ 10?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 − 6 × 3?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 6 + 2 − 7?
  24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 2 ÷ 17 × 4?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 4 + 7 × 6?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 12 + 13 ÷ 4?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 16 × 4 ÷ 4?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 8 + 10 × 9?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 2 ÷ 5 × 6?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 8 + 4 ÷ 8?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 + 17 × 6?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 19 − 19 ÷ 17?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 7 × 7 − 17?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 15 × 6 + 13?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 3 × 2 ÷ 12?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 14 × 18 ÷ 16?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 12 − 7 × 13?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 18 + 2 ÷ 8?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 15 ÷ 12 × 2?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 20 × 16 − 17?

Answer key

  1. 66
  2. 256
  3. 18
  4. 38
  5. 32
  6. 148
  7. 44
  8. 23
  9. 100
  10. 2
  11. 57
  12. 143
  13. 13
  14. 21
  15. 78
  16. 69
  17. 53
  18. 71
  19. 5
  20. 4
  21. 4
  22. 20
  23. 46
  24. 41
  25. 26
  26. 75
  27. 224
  28. 83
  29. 41
  30. 0
  31. 40
  32. 37
  33. 123
  34. 68
  35. 40
  36. 250
  37. 25
  38. 19
  39. 275
  40. 256

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