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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 438 · 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 8 + 8 − 11 ÷ 11?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 18 × 2 + 2?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 20 + 10 ÷ 7?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 18 + 9 ÷ 14?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 6 × 10 + 10?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 2 ÷ 20 + 2?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 19 × 3 − 14?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 3 − 16 ÷ 11?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 15 × 5 − 9?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 14 ÷ 5 + 18?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 ÷ 20 × 9?
  12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 5 − 6 + 15?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 8 + 16 ÷ 16?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 19 ÷ 11 + 14?
  15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 3 × 4 + 2?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 11 ÷ 10 − 6?
  17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 18 ÷ 4 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 4 + 4 ÷ 3?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 4 − 4 + 12?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 × 7 ÷ 14?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 × 11 ÷ 18?
  22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 7 − 8 ÷ 8?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 17 × 13 + 19?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 10 ÷ 16 + 20?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 ÷ 10 + 14?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 4 − 16 ÷ 8?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 + 3 × 15?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 + 3 × 3?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 3 + 2 ÷ 3?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 16 ÷ 13 + 6?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 13 ÷ 20 − 17?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 + 13 ÷ 13?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 8 × 16 − 16?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 × 16 + 15?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 4 ÷ 20 × 11?
  36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 ÷ 6 × 2?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 9 − 8 ÷ 10?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 11 − 10 ÷ 6?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 3 + 19?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 16 + 13 ÷ 4?

Answer key

  1. 121
  2. 27
  3. 21
  4. 26
  5. 25
  6. 54
  7. 33
  8. 50
  9. 32
  10. 61
  11. 122
  12. 17
  13. 126
  14. 150
  15. 21
  16. 59
  17. 54
  18. 1
  19. 14
  20. 9
  21. 8
  22. 75
  23. 236
  24. 116
  25. 142
  26. 71
  27. 240
  28. 9
  29. 6
  30. 208
  31. 334
  32. 9
  33. 17
  34. 2
  35. 45
  36. 172
  37. 79
  38. 56
  39. 8
  40. 207

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