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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 416 · 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 11 + 17 ÷ 12 − 12?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 13 × 12 − 2?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 2 ÷ 14 + 13?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 × 10 ÷ 10?
  5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 3 ÷ 18 × 10?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 5 × 8 ÷ 18?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 5 + 11 ÷ 15?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 9 × 7 + 2?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 14 ÷ 8 + 4?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 19 × 16 ÷ 3?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 4 ÷ 2 − 18?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 10 + 14 ÷ 9?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 × 10 ÷ 6?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 6 × 4?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 19 × 7 ÷ 12?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 11 ÷ 9 + 16?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 20 ÷ 11 + 17?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 16 ÷ 8 + 3?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 10 − 5 × 20?
  20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 19 − 9 ÷ 4?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 − 17 ÷ 18?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 × 5 − 10?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 20 × 4 − 7?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 16 + 4 × 4?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 19 + 12 × 12?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 18 − 19 ÷ 14?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 12 + 5 − 20?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 5 + 9 × 10?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 12 ÷ 18 + 15?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 + 12 ÷ 2?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 5 − 7 ÷ 18?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 17 ÷ 14 × 10?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 15 ÷ 14 − 2?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 10 + 2 × 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 13 ÷ 2 + 7?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 + 20 × 11?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 8 + 8 × 5?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 7 × 10 − 14?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 5 × 4 − 5?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 5 ÷ 8 − 4?

Answer key

  1. 138
  2. 9
  3. 32
  4. 9
  5. 47
  6. 158
  7. 55
  8. 17
  9. 32
  10. 298
  11. 46
  12. 137
  13. 152
  14. 109
  15. 252
  16. 99
  17. 216
  18. 128
  19. 36
  20. 271
  21. 23
  22. 60
  23. 16
  24. 73
  25. 28
  26. 131
  27. 15
  28. 46
  29. 264
  30. 9
  31. 23
  32. 336
  33. 138
  34. 13
  35. 38
  36. 15
  37. 0
  38. 150
  39. 71
  40. 33

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