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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 638 · 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 9 ÷ 11 + 3 × 10?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 13 × 6 + 6?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 2 × 2 ÷ 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 3 × 4 + 2?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 × 2 + 10?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 16 × 10 ÷ 7?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 11 × 18 − 18?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 ÷ 12 − 12?
  9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 10 + 20 ÷ 15?
  10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 2 + 11 ÷ 7?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 20 + 2 − 10?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 16 ÷ 2 + 16?
  13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 4 − 3 ÷ 17?
  14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 11 × 9 ÷ 7?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 + 4 − 12?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 18 + 9 ÷ 3?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 8 − 5 × 12?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 4 ÷ 17 − 12?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 6 × 4 ÷ 16?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 18 × 15 − 14?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 19 ÷ 12 − 12?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 10 + 12?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 6 ÷ 8 + 7?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 ÷ 3 × 15?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 18 ÷ 3 + 6?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 14 − 8 ÷ 19?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 9 × 5 ÷ 2?
  28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 15 + 15 ÷ 3?
  29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 12 − 4 × 2?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 ÷ 6 + 8?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 3 × 13 ÷ 7?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 10 × 5 − 15?
  33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 4 × 7 + 7?
  34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 14 + 4 ÷ 15?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 × 4 ÷ 4?
  36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 18 − 7 ÷ 11?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 10 ÷ 11 × 14?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 6 ÷ 2 − 6?
  39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 13 ÷ 18 + 3?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 6 ÷ 13?

Answer key

  1. 32
  2. 21
  3. 4
  4. 15
  5. 5
  6. 205
  7. 109
  8. 210
  9. 200
  10. 35
  11. 103
  12. 35
  13. 32
  14. 101
  15. 9
  16. 161
  17. 12
  18. 209
  19. 14
  20. 203
  21. 323
  22. 60
  23. 57
  24. 72
  25. 18
  26. 148
  27. 138
  28. 19
  29. 65
  30. 97
  31. 51
  32. 37
  33. 16
  34. 207
  35. 119
  36. 66
  37. 183
  38. 13
  39. 47
  40. 19

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