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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 795 · 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 7 + 2 − 18 × 18?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 2 + 3?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 10 + 5 ÷ 2?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 13 × 2 − 14?
  5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 16 ÷ 3 × 17?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 2 − 17 × 3?
  7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 4 ÷ 8 + 2?
  8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 2 × 14 − 2?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 9 − 11 + 9?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 3 + 12 ÷ 10?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 + 9 × 9?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 11 ÷ 5 − 19?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 2 − 12 ÷ 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 − 3 × 5?
  15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 5 − 17 + 19?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 4 − 11 + 7?
  17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 14 + 5 × 5?
  18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 2 + 16 ÷ 2?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 14 × 4 − 2?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 15 × 7 ÷ 6?
  21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 17 + 8 × 18?
  22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 12 + 4 ÷ 2?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 20 + 13 ÷ 9?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 15 ÷ 11 − 20?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 15 − 11 ÷ 15?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 2 ÷ 11 + 3?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 + 9 × 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 3 − 9 + 3?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 2 ÷ 13 + 4?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 17 ÷ 6 − 17?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 17 × 3 ÷ 8?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 4 − 16 × 2?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 + 6 − 6?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 − 11 + 11?
  35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 18 ÷ 20 + 8?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 14 + 6 − 2?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 2 − 17 + 18?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 − 11 ÷ 10?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 + 19 − 19?
  40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 − 10 × 2?

Answer key

  1. 15
  2. 8
  3. 4
  4. 144
  5. 318
  6. 46
  7. 56
  8. 11
  9. 9
  10. 4
  11. 17
  12. 91
  13. 50
  14. 37
  15. 71
  16. 83
  17. 27
  18. 37
  19. 44
  20. 29
  21. 44
  22. 11
  23. 264
  24. 224
  25. 71
  26. 26
  27. 6
  28. 27
  29. 28
  30. 9
  31. 63
  32. 51
  33. 22
  34. 42
  35. 154
  36. 25
  37. 31
  38. 25
  39. 53
  40. 22

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