Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 180 · 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 11 + 18 × 7 ÷ 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 5 − 16 ÷ 6?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 20 ÷ 6 − 13?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 3 × 4 + 2?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 5 ÷ 11 × 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 13 ÷ 20 + 13?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 − 11 ÷ 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 × 2 ÷ 3?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 4 + 3 ÷ 6?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 11 ÷ 17 × 7?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 5 × 3 ÷ 11?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 × 3 ÷ 18?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 − 9 ÷ 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 6 + 3 ÷ 7?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 6 + 18 − 4?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 ÷ 19 + 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 + 16 × 13?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 20 × 15 + 14?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 2 ÷ 18 − 13?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 + 5 × 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 5 ÷ 12 × 4?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 − 3 ÷ 13?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 3 + 10 − 20?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 × 19 + 2?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 16 + 8 × 2?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 4 + 5 − 11?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 20 − 18 ÷ 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 ÷ 8 + 4?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 20 ÷ 11 + 9?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 11 ÷ 6 + 7?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 5 ÷ 3 × 7?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 7 + 7 ÷ 15?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 2 ÷ 5 − 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 9 − 6 × 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 ÷ 7 × 17?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 19 ÷ 7 × 10?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 7 − 7 ÷ 10?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 8 ÷ 10 − 10?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 3 ÷ 17 × 17?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 16 × 2 ÷ 2?

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