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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 964 · 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 5 ÷ 10 + 8 × 20?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 12 × 6 + 18?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 × 6 + 4?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 9 × 6 ÷ 10?
  5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 10 + 5 × 17?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 5 ÷ 2 × 16?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 19 × 2 ÷ 8?
  8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 16 + 3 × 9?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 5 ÷ 7 × 5?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 4 ÷ 7 + 10?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 × 12 − 6?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 6 ÷ 4 + 4?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 ÷ 2 × 4?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 3 ÷ 3 − 20?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 20 − 10 ÷ 19?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 16 − 12 × 17?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 13 − 14 ÷ 13?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 20 + 18 ÷ 17?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 20 + 3 − 20?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 12 ÷ 10 − 2?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 15 + 10 ÷ 12?
  22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 3 + 5 ÷ 2?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 14 − 18 ÷ 2?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 16 − 3 × 6?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 4 − 19 × 8?
  26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 17 ÷ 8 + 8?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 2 − 4 + 5?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 5 ÷ 4 + 2?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 9 ÷ 10 − 18?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 20 ÷ 7 − 8?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 9 ÷ 9 − 6?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 5 + 4 × 20?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 − 4 ÷ 18?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 4 ÷ 6 − 3?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 17 − 3 + 13?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 ÷ 7 × 10?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 9 − 15 × 11?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 5 + 11 ÷ 12?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 ÷ 12 + 9?
  40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 6 + 9 − 12?

Answer key

  1. 1
  2. 6
  3. 3
  4. 149
  5. 22
  6. 104
  7. 9
  8. 7
  9. 7
  10. 82
  11. 114
  12. 13
  13. 180
  14. 67
  15. 41
  16. 182
  17. 180
  18. 139
  19. 8
  20. 161
  21. 157
  22. 1
  23. 29
  24. 42
  25. 71
  26. 27
  27. 23
  28. 18
  29. 17
  30. 40
  31. 47
  32. 116
  33. 48
  34. 12
  35. 41
  36. 59
  37. 6
  38. 62
  39. 99
  40. 39

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