Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 153 · 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 20 + 2 − 2 ÷ 10?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 12 + 4 × 8?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 6 ÷ 7 × 15?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 2 ÷ 17 − 13?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 5 ÷ 12 + 16?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 13 − 5 ÷ 8?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 12 × 13 ÷ 13?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 14 ÷ 7 − 12?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 3 + 19 − 5?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 10 + 19 ÷ 14?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 5 ÷ 3 + 12?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 5 ÷ 2 × 8?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 6 × 11 − 14?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 12 + 3 − 12?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 4 − 2 + 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 × 8 ÷ 6?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 16 + 3 ÷ 3?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 7 + 4 − 14?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 ÷ 15 × 12?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 × 9 − 3?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 3 × 15 + 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 7 ÷ 10 + 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 11 × 19 + 17?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 14 − 12 × 6?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 5 ÷ 5 × 10?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 11 − 20 + 16?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 2 + 13 × 14?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 8 ÷ 18 × 16?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 3 × 2 ÷ 5?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 17 ÷ 8 × 7?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 2 ÷ 17 + 17?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 10 − 2 + 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 6 − 7 ÷ 9?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 15 + 13 ÷ 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 18 ÷ 3 − 9?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 16 + 10 ÷ 16?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 8 × 2 ÷ 15?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 20 × 6 − 14?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 4 × 11 ÷ 17?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 + 11 × 12 − 16?

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