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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 681 · 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 13 × 15 ÷ 5 + 3?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 18 ÷ 16 − 5?
  3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 5 + 20 − 20?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 2 × 5?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 14 ÷ 18 + 3?
  6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 6 − 6 × 18?
  7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 9 ÷ 15 − 12?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 20 − 10 × 11?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 12 ÷ 15 + 4?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 4 ÷ 8 × 17?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 2 + 19 × 8?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 10 ÷ 7 − 18?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 18 × 19 ÷ 3?
  14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 11 + 18 × 19?
  15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 20 ÷ 3 × 18?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 + 4 − 20?
  17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 9 + 18 − 10?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 + 11 ÷ 13?
  19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 7 − 15 ÷ 9?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 18 ÷ 18 − 15?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 16 ÷ 18 − 6?
  22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 × 2 + 8?
  23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 × 8 + 17?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 13 × 20 + 2?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 10 + 12 ÷ 3?
  26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 18 × 6 ÷ 4?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 × 5 + 7?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 10 ÷ 17 + 16?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 17 + 12 ÷ 20?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 16 + 9 ÷ 20?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 20 − 3 × 10?
  32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 6 ÷ 11 − 3?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 ÷ 19 + 11?
  34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 10 × 14 + 15?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 5 − 12 + 3?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 15 + 15 ÷ 4?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 5 − 6 × 8?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 18 × 5?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 16 + 3 ÷ 20?
  40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 12 ÷ 14 × 2?

Answer key

  1. 13
  2. 70
  3. 14
  4. 25
  5. 90
  6. 30
  7. 175
  8. 27
  9. 58
  10. 71
  11. 45
  12. 124
  13. 196
  14. 185
  15. 395
  16. 176
  17. 127
  18. 11
  19. 99
  20. 257
  21. 111
  22. 6
  23. 138
  24. 6
  25. 131
  26. 70
  27. 11
  28. 264
  29. 76
  30. 107
  31. 65
  32. 36
  33. 221
  34. 206
  35. 36
  36. 289
  37. 8
  38. 270
  39. 35
  40. 204

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