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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 412 · 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 10 + 14 × 13 ÷ 4?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 13 − 19 ÷ 19?
  3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 12 ÷ 14 × 13?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 7 × 9 ÷ 18?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 15 ÷ 10 + 2?
  6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 2 − 5 ÷ 18?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 + 19 × 11?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 9 × 6 − 18?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 9 × 13 ÷ 15?
  10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 13 − 15 ÷ 20?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 19 × 7 + 2?
  12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 + 10 ÷ 5?
  13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 8 + 2 × 20?
  14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 14 − 11 × 11?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 19 + 16 × 5?
  16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 15 − 4 ÷ 17?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 18 × 4 ÷ 3?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 17 + 14 × 20?
  19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 9 × 13 ÷ 6?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 18 ÷ 13 + 5?
  21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 6 × 3 ÷ 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 − 19 + 11?
  23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 12 − 6 + 7?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 + 18 × 2?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 + 19 × 14?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 4 − 15 + 15?
  27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 5 ÷ 10 × 12?
  28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 × 8 ÷ 6?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 8 + 10 − 5?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 13 ÷ 19 × 7?
  31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 16 − 8 ÷ 8?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 3 + 16 × 9?
  33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 − 5 × 5?
  34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 7 × 20 − 10?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 2 + 16 ÷ 3?
  36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 + 10 ÷ 11?
  37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 13 + 4 − 3?
  38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 7 × 7 ÷ 12?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 18 − 9 ÷ 5?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 20 + 20 × 6?

Answer key

  1. 131
  2. 354
  3. 167
  4. 135
  5. 79
  6. 7
  7. 8
  8. 105
  9. 133
  10. 307
  11. 18
  12. 29
  13. 20
  14. 6
  15. 302
  16. 272
  17. 12
  18. 222
  19. 178
  20. 51
  21. 20
  22. 46
  23. 41
  24. 15
  25. 55
  26. 226
  27. 92
  28. 12
  29. 19
  30. 246
  31. 18
  32. 45
  33. 63
  34. 116
  35. 37
  36. 86
  37. 29
  38. 110
  39. 35
  40. 12

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