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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 757 · 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 18 + 7 − 7 ÷ 13?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 15 ÷ 7 + 14?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 20 + 10 × 7?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 16 ÷ 12 + 16?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 ÷ 19 × 5?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 − 17 × 7?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 7 − 8 × 8?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 3 + 9?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 ÷ 10 × 6?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 2 + 3 × 3?
  11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 8 + 3 × 5?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 3 + 17 ÷ 7?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 ÷ 2 × 9?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 17 ÷ 5 − 5?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 + 8 × 2?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 14 + 14 × 3?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 2 ÷ 9 + 13?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 5 × 7 ÷ 8?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 + 18 × 2?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 − 2 ÷ 16?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 2 ÷ 13 − 16?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 12 + 3 × 17?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 19 + 2 ÷ 8?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 9 × 11 ÷ 11?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 8 + 2 × 18?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 10 + 13 ÷ 3?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 9 − 9 × 4?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 7 ÷ 3 − 19?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 13 ÷ 20 × 4?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 12 + 12 × 16?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 10 ÷ 4 − 13?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 9 + 3 × 2?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 4 − 4 ÷ 4?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 9 × 10 ÷ 15?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 13 × 3 ÷ 18?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 7 ÷ 7 − 5?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 11 + 19 × 2?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 8 × 3 ÷ 9?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 ÷ 13 × 18?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 12 − 4 × 13?

Answer key

  1. 120
  2. 91
  3. 210
  4. 193
  5. 94
  6. 27
  7. 43
  8. 3
  9. 124
  10. 5
  11. 19
  12. 56
  13. 49
  14. 33
  15. 6
  16. 171
  17. 8
  18. 60
  19. 96
  20. 71
  21. 9
  22. 134
  23. 36
  24. 72
  25. 15
  26. 60
  27. 5
  28. 0
  29. 10
  30. 12
  31. 46
  32. 44
  33. 1
  34. 139
  35. 249
  36. 33
  37. 5
  38. 42
  39. 53
  40. 4

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