Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 546 · 40 questions

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.

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

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