Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 301 · 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 13 ÷ 12 − 18 + 9?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 7 − 9 ÷ 11?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 ÷ 5 × 13?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 + 16 ÷ 6?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 4 + 10 − 20?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 6 + 3 × 8?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 18 + 13 × 6?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 ÷ 20 × 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 17 ÷ 17 + 7?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 2 − 12 × 3?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 16 + 4 − 5?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 13 + 20 × 2?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 6 + 4 × 20?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 × 12 ÷ 18?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 4 + 2 ÷ 20?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 20 × 16 − 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 2 × 13 ÷ 7?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 6 ÷ 7 + 5?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 × 6 + 5?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 8 × 2 + 2?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 17 × 4?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 14 ÷ 13 × 7?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 20 ÷ 16 − 17?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 4 − 2 ÷ 18?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 9 − 5 × 6?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 13 ÷ 14?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 18 × 13 + 12?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 14 ÷ 16 × 18?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 5 × 19 ÷ 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 7 ÷ 19 + 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 12 ÷ 6 + 9?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 8 + 20 × 2?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 16 × 13 ÷ 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 4 − 9 + 2?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 14 ÷ 10 + 3?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 × 4 ÷ 15?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 16 − 20 ÷ 10?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 − 4 ÷ 2?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 ÷ 5 + 2?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 12 + 12 − 12?

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