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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 442 · 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 10 − 17 ÷ 5 × 3?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 15 + 16 × 20?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 6 × 7 + 14?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 × 2 − 9?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 5 − 9 ÷ 10?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 12 − 4 × 17?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 15 ÷ 6 − 19?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 3 ÷ 20 − 12?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 19 ÷ 16?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 11 ÷ 18 + 18?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 2 − 2 + 5?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 18 ÷ 15 × 20?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 2 + 19 × 19?
  14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 4 × 12 − 19?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 − 5 × 14?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 20 × 12 − 5?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 ÷ 10 − 8?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 3 ÷ 6 + 13?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 10 − 17 ÷ 8?
  20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 12 − 11 × 11?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 + 17 × 3?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 2 ÷ 4 − 8?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 − 16 × 8?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 2 ÷ 7?
  25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 ÷ 12 − 18?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 − 14 ÷ 16?
  27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 16 − 19 ÷ 3?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 8 + 10 − 2?
  29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 5 + 5 × 8?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 15 − 3 + 9?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 10 − 11 ÷ 7?
  32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 16 − 10 ÷ 11?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 3 ÷ 18 × 2?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 + 7 ÷ 16?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 16 × 3 ÷ 2?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 20 + 2 ÷ 19?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 13 × 13 + 15?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 2 ÷ 20 + 2?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 6 − 2 + 9?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 7 × 15 − 11?

Answer key

  1. 92
  2. 226
  3. 5
  4. 39
  5. 90
  6. 6
  7. 115
  8. 256
  9. 306
  10. 67
  11. 12
  12. 247
  13. 0
  14. 232
  15. 8
  16. 61
  17. 80
  18. 8
  19. 128
  20. 180
  21. 167
  22. 8
  23. 362
  24. 173
  25. 211
  26. 26
  27. 45
  28. 56
  29. 28
  30. 1
  31. 24
  32. 162
  33. 43
  34. 75
  35. 65
  36. 204
  37. 4
  38. 40
  39. 45
  40. 167

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