Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 113 · 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 ÷ 17 − 3 × 17?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 6 ÷ 2 − 11?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 9 × 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 7 × 15 + 16?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 5 − 2 + 4?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 20 − 3 ÷ 8?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 20 ÷ 6 − 15?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 19 − 7 × 10?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 5 − 3 + 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 12 × 5 − 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 ÷ 19 × 16?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 ÷ 17 + 8?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 16 + 8 − 17?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 20 − 16 + 10?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 4 ÷ 18 + 5?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 + 17 ÷ 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 18 + 19 ÷ 9?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 13 + 13 ÷ 16?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 9 × 20 − 4?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 14 + 2 ÷ 16?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 5 ÷ 9 − 12?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 8 ÷ 14 × 20?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 16 × 9 ÷ 20?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 14 ÷ 7 × 2?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 × 17 ÷ 5?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 ÷ 5 − 18?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 19 × 4 ÷ 15?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 ÷ 5 + 19?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 − 17 ÷ 5?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 10 ÷ 18 × 9?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 ÷ 8 + 13?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 2 ÷ 13?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 9 ÷ 5 + 3?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 × 3 − 15?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 ÷ 17 × 12?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 20 ÷ 15 × 11?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 + 6 × 10?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 13 − 5 ÷ 19?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 2 × 6 + 9?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 8 + 6?

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