Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 818 · 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 − 11 ÷ 12 × 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 19 × 7 − 11?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 16 − 6 × 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 ÷ 5 × 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 20 − 2 ÷ 15?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 − 16 ÷ 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 5 × 4 − 4?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 19 × 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 4 + 4 × 9?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 6 + 14 − 8?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 3 ÷ 7?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 17 + 4 ÷ 4?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 20 × 4 − 3?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 2 − 15 ÷ 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 17 + 20 − 17?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 7 ÷ 6 × 5?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 20 − 19 + 20?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 × 9 + 3?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 × 15 + 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 6 × 7 + 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 4 − 17 + 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 2 − 3 + 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 2 × 2 − 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 4 ÷ 20 × 18?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 − 5 × 9?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 ÷ 5 + 12?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 6 + 20 ÷ 13?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 7 × 8 − 8?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 − 6 × 8?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 2 ÷ 14 × 14?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 13 ÷ 20 × 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 11 + 19 ÷ 8?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 8 + 8 × 4?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 − 6 × 11?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 8 − 10 + 10?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 16 ÷ 20 × 20?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 5 + 14 × 2?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 8 ÷ 11 × 17?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 5 × 4 + 13?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 5 + 5 ÷ 14?

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