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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 837 · 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 16 × 10 ÷ 10 − 2?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 5 − 10 ÷ 4?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 20 + 10 − 2?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 16 − 15 ÷ 7?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 8 ÷ 6 × 9?
  6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 3 × 17 + 19?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 5 − 19 ÷ 6?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 9 + 11 ÷ 9?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 15 − 13 + 9?
  10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 3 − 15 ÷ 13?
  11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 ÷ 18 × 2?
  12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 10 − 8?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 6 − 15 + 8?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 6 ÷ 19?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 2 + 4 ÷ 6?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 + 20 ÷ 17?
  17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 14 × 6 + 12?
  18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 12 ÷ 2 + 16?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 3 × 20 ÷ 12?
  20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 2 ÷ 11 − 18?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 2 + 4 ÷ 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 ÷ 3 + 9?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 9 + 5 × 3?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 18 + 3 × 3?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 15 ÷ 17 − 17?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 13 − 16 + 8?
  27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 12 ÷ 10 + 2?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 ÷ 14 × 7?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 7 ÷ 17 − 10?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 5 ÷ 12 × 13?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 20 + 2 × 14?
  32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 4 − 19 ÷ 6?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 7 ÷ 10 × 5?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 × 20 − 5?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 15 ÷ 2 + 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 6 × 5 − 18?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 9 ÷ 3 × 8?
  38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 4 − 10 ÷ 12?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 ÷ 15 × 14?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 5 − 2 × 16?

Answer key

  1. 6
  2. 55
  3. 95
  4. 97
  5. 93
  6. 22
  7. 117
  8. 105
  9. 4
  10. 52
  11. 18
  12. 28
  13. 94
  14. 114
  15. 1
  16. 48
  17. 64
  18. 21
  19. 246
  20. 4
  21. 3
  22. 214
  23. 30
  24. 58
  25. 239
  26. 217
  27. 3
  28. 74
  29. 165
  30. 67
  31. 36
  32. 117
  33. 16
  34. 281
  35. 269
  36. 96
  37. 175
  38. 127
  39. 81
  40. 46

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