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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 86 · 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 6 ÷ 17 × 15 − 11?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 16 ÷ 11?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 20 ÷ 5 × 13?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 ÷ 5 × 20?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 19 ÷ 12 × 14?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 15 ÷ 2 + 15?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 2 + 10 − 15?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 ÷ 8 × 3?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 11 × 14 − 19?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 × 7 + 15 − 15?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 6 ÷ 6 + 18?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 ÷ 5 + 7?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 ÷ 14 × 17?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 18 ÷ 10 + 9?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 + 11 − 2?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 + 14 × 2?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 11 − 11 × 4?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 17 + 13 ÷ 13?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 + 19 − 10?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 10 + 13 × 12?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 15 + 5 − 20?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 7 × 13 ÷ 4?
  23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 + 19 ÷ 11?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 7 × 18 − 3?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 ÷ 5 × 5?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 ÷ 16 + 20?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 6 ÷ 19 + 3?
  28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 20 ÷ 3 − 3?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 16 × 3 − 7?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 6 − 3 + 3?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 18 ÷ 3 − 7?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 20 − 15 × 5?
  33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 3 ÷ 10 − 17?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 ÷ 19 + 18?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 ÷ 4 × 11?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 9 + 6 ÷ 6?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 5 + 10 × 10?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 5 × 16 ÷ 15?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 4 ÷ 16?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 19 − 15 + 8?

Answer key

  1. 154
  2. 182
  3. 292
  4. 12
  5. 188
  6. 5
  7. 13
  8. 6
  9. 214
  10. 1
  11. 96
  12. 8
  13. 198
  14. 185
  15. 26
  16. 12
  17. 13
  18. 213
  19. 162
  20. 25
  21. 26
  22. 114
  23. 190
  24. 92
  25. 120
  26. 2
  27. 42
  28. 99
  29. 292
  30. 30
  31. 15
  32. 312
  33. 1
  34. 52
  35. 103
  36. 1
  37. 14
  38. 34
  39. 68
  40. 112

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