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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 894 · 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 3 − 5 ÷ 6 + 8?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 2 ÷ 16 × 16?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 15 − 15 × 10?
  4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 15 − 6 ÷ 17?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 12 + 2 − 10?
  6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 10 + 7 ÷ 4?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 11 − 18 ÷ 19?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 9 + 6 ÷ 18?
  9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 + 9 ÷ 6?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 4 ÷ 7 × 12?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 17 ÷ 7 − 12?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 5 × 4?
  13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 × 2 + 4?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 3 × 6 − 6?
  15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 15 − 5 × 5?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 8 − 20 ÷ 5?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 12 × 2 + 2?
  18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 ÷ 3 × 10?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 × 4 − 11?
  20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 16 ÷ 16 × 18?
  21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 3 + 4 ÷ 15?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 2 − 13 + 5?
  23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 7 − 3 ÷ 5?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 3 + 6 × 2?
  25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 19 − 16 + 12?
  26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 16 × 4 ÷ 8?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 4 ÷ 5 − 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 17 ÷ 16 − 19?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 3 ÷ 8 + 13?
  30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 8 ÷ 17 × 9?
  31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 6 − 16 + 18?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 9 ÷ 15 − 3?
  33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 10 × 17 + 15?
  34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 19 ÷ 19 × 17?
  35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 9 − 11 × 3?
  36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 15 × 6 − 16?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 3 ÷ 7 × 11?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 ÷ 16 × 18?
  39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 2 × 3 ÷ 2?
  40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 2 × 8?

Answer key

  1. 13
  2. 14
  3. 224
  4. 78
  5. 17
  6. 84
  7. 186
  8. 56
  9. 81
  10. 3
  11. 260
  12. 35
  13. 13
  14. 5
  15. 14
  16. 102
  17. 181
  18. 35
  19. 63
  20. 158
  21. 12
  22. 68
  23. 11
  24. 0
  25. 365
  26. 24
  27. 46
  28. 289
  29. 27
  30. 145
  31. 294
  32. 52
  33. 253
  34. 40
  35. 41
  36. 101
  37. 23
  38. 1
  39. 16
  40. 10

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