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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 934 · 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 2 − 11 ÷ 7 + 9?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 18 ÷ 15 × 6?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 9 − 4 + 6?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 × 8 − 13?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 20 × 20 ÷ 7?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 13 ÷ 16 × 4?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 2 + 2 × 15?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 16 × 16 − 8?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 20 ÷ 3 × 3?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 16 + 13 − 13?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 17 − 7 + 17?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 × 20 ÷ 20?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 9 + 5 ÷ 5?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 18 ÷ 15 − 5?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 13 + 11 ÷ 18?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 10 + 5 ÷ 5?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 19 × 19 − 19?
  18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 12 − 13 + 13?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 13 + 15 − 5?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 2 × 17 + 12?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 13 + 7 ÷ 2?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 × 13 − 2?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 − 14 ÷ 16?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 7 + 4 − 7?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 ÷ 7 + 2?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 4 + 2 − 13?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 9 × 19 ÷ 13?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 20 − 20 × 11?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 10 ÷ 6 × 14?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 13 + 8 − 2?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 ÷ 17 − 12?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 15 + 11?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 7 ÷ 10 + 10?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 16 ÷ 10 − 20?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 15 − 3?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 3 ÷ 6 × 19?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 10 + 5 ÷ 2?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 10 + 7?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 − 9 × 15?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 11 × 9 ÷ 5?

Answer key

  1. 20
  2. 63
  3. 21
  4. 124
  5. 15
  6. 246
  7. 31
  8. 18
  9. 140
  10. 34
  11. 25
  12. 168
  13. 32
  14. 260
  15. 215
  16. 7
  17. 30
  18. 18
  19. 94
  20. 205
  21. 125
  22. 36
  23. 234
  24. 14
  25. 11
  26. 39
  27. 257
  28. 9
  29. 92
  30. 124
  31. 208
  32. 1
  33. 107
  34. 42
  35. 32
  36. 7
  37. 13
  38. 307
  39. 39
  40. 49

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