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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 49 · 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 7 + 6 ÷ 5 × 9?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 11 + 8 ÷ 4?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 6 − 8 × 4?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 + 3 × 6?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 12 × 12 − 19?
  6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 2 − 9 ÷ 13?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 13 × 5 ÷ 8?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 16 + 16 − 5?
  9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 12 × 18 − 9?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 × 6 ÷ 20?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 5 × 20 − 5?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 − 6 ÷ 12?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 12 ÷ 18 × 11?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 7 + 15 × 19?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 + 15 × 15?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 − 8 + 20?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 20 + 9 − 15?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 17 − 18 × 13?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 19 − 4 + 13?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 × 2 + 9?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 19 ÷ 12 − 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 ÷ 18 − 8?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 − 4 ÷ 19?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 2 + 3 × 3?
  25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 7 ÷ 2 − 19?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 ÷ 3 + 20?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 − 20 × 20?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 × 3 − 7?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 × 19 ÷ 15?
  30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 2 × 14 + 14?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 11 − 2 + 2?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 4 + 8 × 7?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 + 6 ÷ 18?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 6 − 13 ÷ 10?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 15 ÷ 2 − 20?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 12 − 2 + 9?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 17 ÷ 10 − 10?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 ÷ 8 + 2?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 8 − 4 + 18?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 9 ÷ 16 × 8?

Answer key

  1. 38
  2. 104
  3. 18
  4. 269
  5. 229
  6. 118
  7. 55
  8. 13
  9. 19
  10. 35
  11. 9
  12. 45
  13. 89
  14. 39
  15. 54
  16. 16
  17. 16
  18. 301
  19. 162
  20. 19
  21. 99
  22. 150
  23. 345
  24. 11
  25. 7
  26. 69
  27. 22
  28. 35
  29. 74
  30. 203
  31. 9
  32. 35
  33. 28
  34. 128
  35. 48
  36. 69
  37. 96
  38. 29
  39. 74
  40. 188

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