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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 832 · 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 5 + 3 ÷ 14 − 19?
  2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 11 × 7 ÷ 18?
  3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 − 6 ÷ 17?
  4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 9 ÷ 3 + 3?
  5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 11 ÷ 17 − 15?
  6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 17 + 12 ÷ 6?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 10 − 18 + 16?
  8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 14 − 13 + 18?
  9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 4 − 17 ÷ 8?
  10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 20 + 5 − 19?
  11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 7 − 15 + 14?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 × 7 ÷ 8?
  13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 × 7 − 6?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 18 − 18 + 3?
  15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 3 − 20 × 5?
  16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 − 20 + 3?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 9 + 20 − 20?
  18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 10 ÷ 16 × 7?
  19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 10 × 12 + 20?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 11 × 20 − 20?
  21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 8 × 3 ÷ 18?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 3 + 3 − 20?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 5 × 8 − 14?
  24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 7 + 19 − 19?
  25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 15 ÷ 12 − 4?
  26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 6 − 6 × 4?
  27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 − 6 ÷ 3?
  28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 16 − 17 + 19?
  29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 12 ÷ 12 + 17?
  30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 10 − 7 ÷ 13?
  31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 + 10 ÷ 14?
  32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 19 − 20 ÷ 2?
  33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 + 3 ÷ 10 × 12?
  34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 12 × 6 − 12?
  35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 19 ÷ 2 × 12?
  36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 3 − 11 ÷ 14?
  37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 7 ÷ 5 × 5?
  38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 − 4 × 2?
  39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 14 ÷ 20 − 3?
  40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 4 × 3 ÷ 3?

Answer key

  1. 268
  2. 88
  3. 25
  4. 10
  5. 64
  6. 300
  7. 286
  8. 175
  9. 139
  10. 84
  11. 208
  12. 113
  13. 194
  14. 46
  15. 57
  16. 222
  17. 89
  18. 168
  19. 152
  20. 5
  21. 127
  22. 40
  23. 116
  24. 63
  25. 262
  26. 17
  27. 111
  28. 270
  29. 143
  30. 77
  31. 24
  32. 303
  33. 5
  34. 17
  35. 142
  36. 153
  37. 12
  38. 2
  39. 81
  40. 16

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