Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 341 · 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 12 − 11 × 3 + 17?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 13 + 7 × 7?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 12 + 4 ÷ 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 3 × 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 20 ÷ 3 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 11 × 9 + 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 10 ÷ 5 + 11?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 × 13 ÷ 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 17 ÷ 4 + 10?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 11 − 11 × 4 ÷ 14?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 × 20 − 4?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 17 ÷ 16?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 11 − 19 × 19?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 12 ÷ 4 + 5?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 13 − 18 + 17?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 ÷ 19 + 12?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 8 − 12 + 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 7 × 7 + 5?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 6 + 12?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 17 + 8 − 2?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 18 − 6 ÷ 6?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 3 − 6 ÷ 9?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 17 ÷ 20 × 3?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 6 + 2 × 3?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 6 − 6 + 16?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 20 × 12 + 6?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 15 ÷ 5 × 17?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 ÷ 12 − 12?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 5 − 16 + 5?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 14 − 2 × 2?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 8 + 5 ÷ 20?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 + 6 ÷ 4?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 3 + 6 − 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 20 ÷ 9 + 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 − 15 × 3?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 5 × 4 + 6?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 2 ÷ 12 − 12?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 8 × 4 − 12?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 9 + 11 ÷ 4?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 18 ÷ 13 × 13?

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