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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 276 · 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 ÷ 6 × 13 + 18?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 14 − 4 ÷ 3?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 11 ÷ 17 × 5?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 + 2 ÷ 11?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 4 − 14 ÷ 18?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 9 − 5 ÷ 5?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 ÷ 15 × 5?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 + 5 × 14?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 8 + 8 − 8?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 10 ÷ 9 × 3?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 5 − 8 ÷ 11?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 2 × 3 ÷ 15?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 15 ÷ 5?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 9 − 8 × 8?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 5 ÷ 11 + 20?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 2 − 5 + 10?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 3 − 17 ÷ 10?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 10 + 5 − 5?
  19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 14 ÷ 3 × 7?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 5 ÷ 15 − 20?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 7 × 3 − 6?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 17 − 6 + 15?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 ÷ 6 × 5?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 ÷ 3 × 3?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 × 11 ÷ 19?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 3 × 16 + 13?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 ÷ 15 × 7?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 15 ÷ 18 + 10?
  29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 7 + 7 − 13 ÷ 6?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 × 17 − 9 ÷ 7?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 × 7 ÷ 11?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 11 + 10 − 11?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 + 9 ÷ 17?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 ÷ 16 − 8?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 4 − 2 ÷ 18?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 18 − 19 + 4?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 15 − 17 + 12?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 3 ÷ 7 × 19?
  39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 4 ÷ 10 × 14?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 2 ÷ 15 + 11?

Answer key

  1. 239
  2. 18
  3. 87
  4. 12
  5. 48
  6. 28
  7. 0
  8. 121
  9. 5
  10. 103
  11. 32
  12. 20
  13. 158
  14. 18
  15. 48
  16. 3
  17. 43
  18. 12
  19. 53
  20. 311
  21. 4
  22. 96
  23. 2
  24. 38
  25. 22
  26. 221
  27. 206
  28. 266
  29. 79
  30. 16
  31. 5
  32. 20
  33. 368
  34. 110
  35. 29
  36. 350
  37. 261
  38. 12
  39. 84
  40. 169

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