Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 135 · 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 8 × 3 + 5 ÷ 12?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 11 ÷ 20 + 14?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 8 − 15 ÷ 8?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 17 ÷ 13 − 17?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 18 ÷ 3?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 11 − 18 ÷ 5?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 14 × 2 ÷ 11?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 5 + 9 ÷ 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 14 − 2 ÷ 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 3 × 7 − 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 2 ÷ 6 + 13?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 − 17 ÷ 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 + 12 ÷ 10?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 − 3 × 17?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 13 ÷ 12 − 11?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 8 × 8 + 8?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 17 ÷ 18 + 9?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 9 + 12 ÷ 4?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 × 10 + 2?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 3 + 3 ÷ 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 12 ÷ 2 − 6?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 19 + 2 ÷ 9?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 6 − 11 ÷ 14?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 3 ÷ 3 + 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 12 + 19 × 17?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 18 ÷ 10 − 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 4 − 5 × 10?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 3 − 4 × 7?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 18 × 9 − 3?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 + 5 ÷ 19?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 3 × 12 + 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 13 − 17 × 17?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 4 − 6 + 2?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 + 4 − 6?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 6 + 5 ÷ 12?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 9 − 12 ÷ 2?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 20 + 20 × 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 8 + 20 ÷ 7?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 6 − 3 × 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 4 − 9?

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