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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 969 · 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 − 10 ÷ 13 + 3?
  2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 7 ÷ 18 − 9?
  3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 8 + 16 − 11?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 ÷ 19 × 5?
  5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 19 × 18 − 14?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 20 + 16 − 3?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 2 ÷ 11 × 14?
  8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 6 − 9 ÷ 19?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 7 + 7 − 15?
  10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 14 ÷ 4 + 18?
  11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 6 ÷ 10 + 8?
  12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 6 ÷ 7 + 2?
  13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 3 + 6 − 12?
  14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 2 ÷ 7 × 11?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 5 + 3 − 14?
  16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 10 + 16 × 4?
  17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 14 ÷ 3 × 17?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 7 − 12 + 4?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 19 ÷ 5 × 17?
  20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 6 × 2 ÷ 5?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 8 × 6 + 6?
  22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 13 + 20 × 4?
  23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 15 + 15 − 5 × 3?
  24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 9 ÷ 2 − 3?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 6 ÷ 4 × 2?
  26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 17 − 15 + 18?
  27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 20 + 2 − 2?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 ÷ 19 × 4?
  29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 10 + 6 × 4?
  30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 10 × 10 ÷ 4?
  31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 12 ÷ 17 − 18?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 14 × 12 ÷ 12?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 11 × 14 − 3?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 + 3 − 7?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 5 × 5 − 4?
  36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 11 + 3 × 4?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 5 + 18 × 6?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 3 × 7 + 14?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 × 10 ÷ 8?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 7 × 7 ÷ 5?

Answer key

  1. 40
  2. 20
  3. 21
  4. 238
  5. 319
  6. 327
  7. 33
  8. 23
  9. 27
  10. 42
  11. 104
  12. 16
  13. 9
  14. 14
  15. 106
  16. 162
  17. 56
  18. 94
  19. 83
  20. 93
  21. 95
  22. 69
  23. 2
  24. 0
  25. 21
  26. 254
  27. 22
  28. 81
  29. 18
  30. 7
  31. 312
  32. 154
  33. 50
  34. 8
  35. 6
  36. 40
  37. 52
  38. 32
  39. 44
  40. 131

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