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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 806 · 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 14 ÷ 18 × 20 + 14?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 6 − 7 × 7?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 15 ÷ 18 − 19?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 9 − 14 + 10?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 11 − 10 ÷ 12?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 2 ÷ 8 × 17?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 − 19 + 4?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 19 ÷ 16 − 5?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 19 × 7 ÷ 9?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 12 − 9 + 12?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 19 + 19 − 20?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 17 + 7 − 3?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 10 ÷ 12 − 8?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 8 × 4 ÷ 6?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 10 + 10 × 15?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 ÷ 7 × 7?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 + 15 × 6?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 − 14 × 19?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 6 × 4 ÷ 20?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 12 − 2 ÷ 7?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 18 × 11 ÷ 19?
  22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 20 + 6 ÷ 7?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 14 ÷ 15 × 16?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 9 − 3 × 7?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 17 × 15?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 11 × 13 + 20?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 16 − 4 + 8?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 10 + 10 − 5?
  29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 10 + 12 − 2?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 3 − 4 + 6?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 − 17 ÷ 20?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 4 − 2 × 17?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 16 × 16 ÷ 15?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 17 − 17 ÷ 19?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 2 ÷ 19 × 3?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 20 − 8 ÷ 9?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 5 × 14 − 14?
  38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 11 ÷ 14 − 14?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 18 − 2 × 19?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 5 − 13 ÷ 16?

Answer key

  1. 276
  2. 49
  3. 340
  4. 142
  5. 113
  6. 13
  7. 228
  8. 75
  9. 321
  10. 3
  11. 31
  12. 4
  13. 94
  14. 27
  15. 22
  16. 144
  17. 12
  18. 15
  19. 89
  20. 28
  21. 242
  22. 123
  23. 57
  24. 14
  25. 245
  26. 254
  27. 17
  28. 19
  29. 74
  30. 19
  31. 37
  32. 11
  33. 22
  34. 288
  35. 55
  36. 59
  37. 79
  38. 87
  39. 15
  40. 208

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