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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 477 · 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 20 + 5 ÷ 12 × 5?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 15 + 18 × 9?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 11 + 10 × 5?
  4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 6 − 3 ÷ 13?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 ÷ 13 + 3?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 16 ÷ 6 − 4?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 11 ÷ 11 + 20?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 9 × 7 ÷ 8?
  9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 5 ÷ 12 × 16?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 ÷ 18 × 9?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 2 ÷ 8 + 18?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 − 13 ÷ 2?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 8 + 17 − 17?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 16 − 19 + 11?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 3 × 11?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 10 − 10 × 10?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 + 10 ÷ 9?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 8 × 13 + 11?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 8 + 8 − 14?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 12 + 15 − 3?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 12 ÷ 5 − 14?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 10 ÷ 2 × 3?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 + 3 ÷ 8?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 10 × 19 ÷ 5?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 13 + 12 − 2?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 ÷ 13 + 6?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 2 × 4 ÷ 14?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 4 × 6 ÷ 7?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 3 − 17 + 14?
  30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 9 + 14 ÷ 2?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 ÷ 7 − 19?
  32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 11 × 10 ÷ 18?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 8 + 12 ÷ 5?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 11 − 13 + 14?
  35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 − 12 ÷ 15?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 7 ÷ 6 − 15?
  37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 4 − 16 + 2?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 8 − 10 × 13?
  39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 + 6 − 5?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 11 ÷ 4 × 4?

Answer key

  1. 43
  2. 17
  3. 105
  4. 4
  5. 12
  6. 27
  7. 220
  8. 63
  9. 31
  10. 87
  11. 0
  12. 30
  13. 1
  14. 301
  15. 68
  16. 7
  17. 113
  18. 106
  19. 33
  20. 13
  21. 78
  22. 99
  23. 38
  24. 34
  25. 91
  26. 64
  27. 8
  28. 45
  29. 238
  30. 129
  31. 40
  32. 179
  33. 19
  34. 21
  35. 0
  36. 88
  37. 34
  38. 79
  39. 19
  40. 154

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