Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 264 · 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 − 8 + 10 ÷ 7?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 10 − 2 × 13?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 × 20 ÷ 5?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 − 5 × 16?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 13 × 14 + 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 17 + 2 − 17?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 ÷ 4 + 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 ÷ 19 + 3?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 12 − 9 × 3?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 − 5 + 20?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 10 + 16 ÷ 9?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 × 2 − 19 + 17?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 3 + 13?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 9 − 2 ÷ 10?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 ÷ 9 − 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 10 − 18 ÷ 11?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 4 + 6 × 3?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 20 + 14 ÷ 9?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 16 − 3 × 8?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 14 + 17 × 4?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 16 + 8 ÷ 9?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 4 ÷ 2 + 2?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 18 + 15 − 5?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 + 11 × 11?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 5 ÷ 20 × 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 3 + 9 ÷ 17?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 ÷ 12 × 9?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 + 17 ÷ 19?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 3 ÷ 17 + 17?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 ÷ 2 − 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 12 ÷ 12 + 6?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 11 + 7 × 12?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 9 × 9 ÷ 7?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 4 + 12 × 3?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 7 + 7 ÷ 12?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 10 + 2 − 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 19 − 9 × 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 16 + 4 × 16?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 12 − 11 ÷ 15?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 9 − 17 + 7?

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