Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 826 · 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 9 × 3 + 10 ÷ 20?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 17 ÷ 3 × 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 20 ÷ 9 + 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 14 − 13 × 16?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 5 ÷ 2 × 5?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 10 + 8 − 10?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 5 − 19 + 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 15 × 15 − 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 × 2 + 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 4 − 2 × 4?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 20 + 4 ÷ 6?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 20 + 10 − 3?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 5 × 5 + 2?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 2 + 2 ÷ 17 × 11?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 10 − 4 × 3?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 2 ÷ 19 + 6?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 + 4 − 16?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 18 − 18?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 8 + 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 13 ÷ 11 + 11?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 20 ÷ 16 − 6?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 2 ÷ 11 × 7?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 2 ÷ 12 + 8?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 9 × 9 + 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 6 + 4 × 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 4 − 2 + 20?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 5 ÷ 13 − 10?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 2 ÷ 2 × 12?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 19 − 20 × 8?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 15 ÷ 10 − 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 × 13 + 17?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 6 ÷ 3 − 18?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 + 14 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 × 6 − 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 16 − 3 × 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 2 + 14 ÷ 9?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 2 − 10 + 13?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 19 ÷ 9 + 10?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 17 × 7 ÷ 4?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 11 ÷ 7 + 9?

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