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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 334 · 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 16 ÷ 20 × 20 − 14?
  2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 6 ÷ 7 × 4?
  3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 8 × 8 + 11?
  4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 9 × 14?
  5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 4 − 10 + 17?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 11 + 17 ÷ 9?
  7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 10 × 9 ÷ 6?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 8 + 9 ÷ 20?
  9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 6 × 15 ÷ 7?
  10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 ÷ 13 − 4?
  11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 9 ÷ 9 × 7?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 9 + 10 × 18?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 3 × 3 − 3?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 − 12 + 7?
  15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 18 + 6 − 3?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 4 − 18 × 18?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 7 + 10 − 5?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 3 − 10 × 5?
  19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 ÷ 12 + 7?
  20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 14 × 4?
  21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 3 − 17 ÷ 18?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 2 × 7 + 7?
  23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 + 3 × 18?
  24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 − 4 × 15?
  25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 20 ÷ 18 − 3?
  26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 17 ÷ 15 − 8?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 15 ÷ 5 − 19?
  28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 6 ÷ 13 − 7?
  29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 × 3 − 15?
  30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 × 12 + 3?
  31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 20 + 4 − 19?
  32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 × 19 ÷ 3?
  33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 2 − 18 + 19?
  34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 18 ÷ 4 + 4?
  35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 11 − 2 ÷ 9?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 19 + 12 × 7?
  37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 × 9 + 18?
  38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 15 ÷ 19 + 11?
  39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 2 ÷ 3 × 2?
  40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 15 − 13 × 4?

Answer key

  1. 314
  2. 42
  3. 125
  4. 13
  5. 73
  6. 14
  7. 63
  8. 61
  9. 122
  10. 56
  11. 137
  12. 14
  13. 6
  14. 212
  15. 2
  16. 29
  17. 28
  18. 22
  19. 90
  20. 183
  21. 309
  22. 31
  23. 23
  24. 24
  25. 34
  26. 214
  27. 100
  28. 48
  29. 54
  30. 356
  31. 22
  32. 5
  33. 5
  34. 33
  35. 13
  36. 356
  37. 167
  38. 188
  39. 10
  40. 129

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