Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 387 · 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 16 + 12 ÷ 16 × 12?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 14 + 13 × 13?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 20 ÷ 8 − 15?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 7 − 2 ÷ 10?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 6 + 17 × 17?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 11 ÷ 4 − 8?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 18 × 10 − 10?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 20 + 3 × 10?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 4 ÷ 6 + 11?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 − 11 ÷ 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 18 − 8 × 18?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 5 × 14 − 17?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 19 − 4 ÷ 20?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 19 × 7 ÷ 12?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 20 × 12 + 20?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 × 9 + 12?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 ÷ 7 − 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 15 ÷ 19 + 8?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 11 + 8 × 8?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 15 × 3 − 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 12 + 2 × 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 5 − 6 + 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 8 ÷ 9 + 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 × 5 ÷ 18?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 4 − 3 ÷ 16?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 ÷ 10 × 17?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 × 6 ÷ 11?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 × 9 − 3?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 16 × 16 − 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 + 5 ÷ 9?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 18 + 12 × 3?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 10 + 18 ÷ 5?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 7 × 14 ÷ 16?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 11 ÷ 6 − 3?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 3 − 12 ÷ 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 12 × 18 ÷ 5?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 13 ÷ 12 − 20?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 19 ÷ 5 + 12?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 14 × 6 ÷ 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 ÷ 7 + 13?

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