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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 784 · 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 14 − 15 ÷ 12 × 4?
  2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 18 + 14 ÷ 7?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 + 8 − 2?
  4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 5 × 11 + 18?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 7 − 2 ÷ 8?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 16 × 13 − 2?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 + 16 ÷ 15?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 8 + 19 ÷ 15?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 9 ÷ 8 + 20?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 19 + 13 × 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 8 + 6 − 2?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 19 + 12 − 12?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 6 ÷ 19 + 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 ÷ 5 − 4?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 16 × 11 − 10?
  16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 6 + 12 − 4?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 14 − 5 × 12?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 3 × 3 + 18?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 18 × 9 ÷ 12?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 2 × 8 + 12?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 + 6 × 17?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 6 × 16 − 18?
  23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 7 ÷ 16 + 4?
  24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 12 + 9 × 18?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 19 × 18 ÷ 2?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 3 × 5 − 3?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 2 ÷ 9 × 3?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 17 × 17 − 20?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 3 ÷ 6 + 5?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 19 − 16 ÷ 13?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 8 ÷ 19 × 17?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 15 − 11 ÷ 2?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 5 ÷ 19 − 17?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 18 ÷ 2 + 11?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 17 ÷ 3 − 3?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 20 ÷ 18 × 8?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 14 × 14 ÷ 4?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 19 + 3 ÷ 2?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 19 + 13 − 3?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 16 + 15 × 8?

Answer key

  1. 202
  2. 257
  3. 66
  4. 88
  5. 16
  6. 16
  7. 34
  8. 151
  9. 166
  10. 162
  11. 37
  12. 30
  13. 53
  14. 28
  15. 175
  16. 39
  17. 161
  18. 27
  19. 101
  20. 18
  21. 35
  22. 300
  23. 68
  24. 22
  25. 29
  26. 17
  27. 28
  28. 22
  29. 16
  30. 192
  31. 78
  32. 14
  33. 328
  34. 31
  35. 35
  36. 62
  37. 16
  38. 341
  39. 199
  40. 24

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