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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 495 · 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 + 2 − 4 × 9?
  2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 × 3 ÷ 4?
  3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 18 + 18 ÷ 2?
  4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 + 10 ÷ 8?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 16 − 15 + 10?
  6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 + 2 × 16?
  7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 18 × 14 ÷ 4?
  8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 × 20 ÷ 7?
  9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 3 + 13 × 18?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 − 2 + 3?
  11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 16 − 7 + 16?
  12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 3 − 14 + 2?
  13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 16 × 2 ÷ 18?
  14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 ÷ 2 − 6?
  15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 × 9 ÷ 19?
  16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 19 × 14 − 8?
  17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 18 − 3 + 9?
  18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 16 − 2 ÷ 18?
  19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 ÷ 9 − 3?
  20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 17 × 16 + 16?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 11 × 20 ÷ 3?
  22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 10 × 10 ÷ 6?
  23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 2 ÷ 10 + 5?
  24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 11 ÷ 4 × 14?
  25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 6 ÷ 14 × 11?
  26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 18 × 3 ÷ 20?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 × 7 ÷ 7 − 3?
  28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 8 + 9 × 20?
  29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 14 + 8 − 3?
  30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 5 + 17 − 17?
  31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 + 16 × 4?
  32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 7 × 16 + 8?
  33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 ÷ 13 − 4?
  34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 2 + 2 − 5?
  35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 18 − 17 + 7?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 × 8 + 2?
  37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 18 ÷ 6 × 8?
  38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 11 × 20 − 2?
  39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 11 ÷ 18 × 8?
  40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 18 − 6 ÷ 2?

Answer key

  1. 23
  2. 171
  3. 13
  4. 196
  5. 236
  6. 18
  7. 62
  8. 222
  9. 26
  10. 10
  11. 26
  12. 35
  13. 32
  14. 118
  15. 190
  16. 146
  17. 11
  18. 147
  19. 28
  20. 306
  21. 82
  22. 16
  23. 8
  24. 109
  25. 63
  26. 123
  27. 22
  28. 57
  29. 79
  30. 4
  31. 128
  32. 36
  33. 351
  34. 13
  35. 280
  36. 234
  37. 340
  38. 34
  39. 186
  40. 310

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