Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 364 · 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 18 − 9 ÷ 16 + 8?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 6 × 6 + 3?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 10 + 9 ÷ 8?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 ÷ 3 − 7?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 11 + 10 ÷ 17?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 × 16 ÷ 6?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 2 − 6 × 11?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 11 − 7 ÷ 11?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 ÷ 3 × 3?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 16 × 7 ÷ 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 13 ÷ 6 × 13?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 5 × 4 + 2?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 13 + 2 ÷ 9?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 2 ÷ 4 × 7?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 17 + 3 ÷ 6?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 11 × 2 ÷ 7?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 3 × 4 ÷ 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 20 ÷ 6 + 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 9 × 12 + 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 9 × 12 − 4?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 16 × 12 ÷ 16?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 2 + 2 ÷ 6?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 6 × 15 + 10?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 8 + 7 − 17?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 − 15 × 6?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 15 − 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 6 ÷ 11 × 20?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 4 × 12 − 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 × 20 + 12?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 3 ÷ 8 × 2?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 + 7 − 17?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 5 ÷ 5 × 4?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 10 + 6 − 16?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 18 ÷ 6 − 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 13 × 8 ÷ 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 4 + 8 − 4?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 10 + 4 ÷ 12?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 15 × 3 ÷ 6?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 20 ÷ 13 × 12?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 7 × 9 − 3?

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