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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 652 · 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 19 ÷ 3 + 3 × 20?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 3 ÷ 2 − 8?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 10 ÷ 4 − 2?
  4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 4 × 4 − 17?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 2 × 4 − 15?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 10 × 13 ÷ 4?
  7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 3 + 19 ÷ 7?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 × 9 ÷ 5?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 4 ÷ 5 − 20?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 × 11 ÷ 19 + 5?
  11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 8 − 10 ÷ 10?
  12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 18 ÷ 12 × 7?
  13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 3 ÷ 14 + 7?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 2 ÷ 6 + 11?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 5 ÷ 12 × 7?
  16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 13 × 15 ÷ 4?
  17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 20 ÷ 8 − 11?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 20 + 7 ÷ 3?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 4 + 7 ÷ 2?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 20 × 3 + 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 8 ÷ 5 + 9?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 15 ÷ 6 × 2?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 3 ÷ 3 × 15?
  24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 15 ÷ 10 + 10?
  25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 14 − 2 ÷ 15?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 14 + 2 − 7?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 2 + 5 × 17?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 10 + 5 × 13?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 × 8 ÷ 11?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 4 ÷ 13 − 8?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 8 ÷ 7 + 18?
  32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 16 − 5 + 7?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 3 ÷ 13 + 12?
  34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 − 12 × 17?
  35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 + 2 × 5?
  36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 4 − 16 ÷ 17?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 7 ÷ 13 × 18?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 15 ÷ 14 + 12?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 6 × 2 − 4?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 20 × 2 − 14?

Answer key

  1. 30
  2. 7
  3. 192
  4. 49
  5. 20
  6. 111
  7. 18
  8. 148
  9. 8
  10. 14
  11. 103
  12. 228
  13. 109
  14. 7
  15. 55
  16. 206
  17. 87
  18. 18
  19. 2
  20. 263
  21. 48
  22. 237
  23. 48
  24. 103
  25. 10
  26. 53
  27. 24
  28. 18
  29. 21
  30. 102
  31. 138
  32. 82
  33. 162
  34. 18
  35. 11
  36. 11
  37. 30
  38. 216
  39. 14
  40. 174

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