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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 503 · 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 − 20 ÷ 5?
  2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 12 − 2 ÷ 8?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 17 × 9 ÷ 7?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 17 ÷ 14 − 2?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 4 + 9 − 9?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 2 − 19 + 11?
  7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 8 − 15 + 12?
  8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 18 + 14 − 15?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 6 + 2 ÷ 7?
  10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 16 − 11 + 16?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 7 + 12 × 9?
  12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 8 + 3 × 15?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 ÷ 11 − 20?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 11 ÷ 3 + 5?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 2 ÷ 6 − 4?
  16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 + 5 − 5?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 11 + 10 − 7?
  18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 14 × 13 ÷ 14?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 19 + 13 × 20?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 − 4 ÷ 16?
  21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 14 − 7 × 16?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 19 ÷ 19 − 15?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 11 × 12 + 12?
  24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 17 ÷ 15 × 15?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 14 − 2 + 14?
  26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 × 14 − 2?
  27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 3 × 2 + 7?
  28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 10 − 20 + 15?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 ÷ 7 × 9?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 6 ÷ 10 − 18?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 17 × 12 − 11?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 ÷ 7 − 16?
  33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 10 ÷ 18 − 12?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 − 17 ÷ 5?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 6 × 6 + 2?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 14 − 15 + 7?
  37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 14 ÷ 3 − 3?
  38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 17 ÷ 19 × 18?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 5 − 19 ÷ 17?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 11 × 15 − 15?

Answer key

  1. 74
  2. 13
  3. 253
  4. 22
  5. 1
  6. 219
  7. 5
  8. 271
  9. 52
  10. 168
  11. 87
  12. 132
  13. 149
  14. 119
  15. 5
  16. 6
  17. 140
  18. 125
  19. 64
  20. 28
  21. 26
  22. 269
  23. 20
  24. 323
  25. 5
  26. 173
  27. 22
  28. 155
  29. 5
  30. 179
  31. 254
  32. 33
  33. 223
  34. 95
  35. 21
  36. 36
  37. 23
  38. 316
  39. 335
  40. 154

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