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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 470 · 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 19 ÷ 11 + 3 × 15?
  2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 ÷ 5 × 5?
  3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 4 − 7 ÷ 15?
  4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 16 × 2 − 11?
  5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 16 ÷ 12 + 5?
  6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 13 ÷ 4 − 5?
  7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 14 + 7 − 3?
  8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 15 − 6 ÷ 5?
  9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 2 ÷ 5 − 5?
  10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 11 − 10?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 6 − 6 × 17?
  12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 19 ÷ 12 − 3?
  13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 × 6 ÷ 4?
  14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 4 + 9 ÷ 16?
  15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 11 × 11 ÷ 4?
  16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 2 − 10 ÷ 14?
  17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 18 ÷ 20 + 2?
  18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 8 + 4 × 7?
  19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 8 ÷ 4 × 19?
  20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 20 ÷ 13 − 19?
  21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 10 − 19 + 5?
  22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 9 × 4 ÷ 7?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 18 + 18 ÷ 18?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 12 − 7 + 20?
  25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 8 ÷ 14 − 13?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 3 − 15 + 17?
  27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 10 − 20 ÷ 15?
  28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 ÷ 4 − 6?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 11 − 18 ÷ 18?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 11 − 4 ÷ 14?
  31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 2 − 14 + 2?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 − 17 + 9?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 16 − 2 ÷ 16?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 17 − 20 ÷ 15?
  35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 13 × 7 − 20?
  36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 5 ÷ 2 × 9?
  37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 13 ÷ 14 × 4?
  38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 + 14 × 8?
  39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 13 × 12 ÷ 9?
  40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 7 + 8 × 4?

Answer key

  1. 1
  2. 34
  3. 117
  4. 115
  5. 63
  6. 15
  7. 27
  8. 226
  9. 28
  10. 32
  11. 20
  12. 35
  13. 8
  14. 67
  15. 16
  16. 149
  17. 37
  18. 25
  19. 137
  20. 230
  21. 194
  22. 26
  23. 22
  24. 227
  25. 180
  26. 19
  27. 24
  28. 5
  29. 320
  30. 40
  31. 29
  32. 156
  33. 4
  34. 260
  35. 129
  36. 42
  37. 192
  38. 1
  39. 107
  40. 68

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