Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 419 · 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 + 3 ÷ 16?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 × 2 − 16?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 20 + 3 × 20?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 11 × 6 ÷ 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 20 ÷ 3 × 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 15 − 6 + 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 2 + 19 × 6?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 − 5 ÷ 16?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 + 9 × 12?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 8 − 2 + 11?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 11 − 6 + 10?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 8 − 3 × 13?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 − 7 ÷ 15?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 19 × 11 + 20?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 7 × 7 − 19?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 16 + 3 ÷ 6?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 5 + 14 − 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 16 × 7 ÷ 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 2 ÷ 4 + 4?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 18 ÷ 18 − 6?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 ÷ 3 − 13?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 7 × 18 + 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 11 × 8 ÷ 7?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 14 × 16 − 13?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 17 × 15?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 18 + 4 − 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 17 − 3 × 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 12 − 6 ÷ 7?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 16 + 4 − 8?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 16 − 16 + 8?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 + 8 × 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 + 13 ÷ 11?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 12 × 7 ÷ 10?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 18 − 14 ÷ 8?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 16 ÷ 7 − 9?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 + 20 ÷ 5?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 19 × 9 ÷ 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 ÷ 5 × 3?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 18 ÷ 12 − 15?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 9 − 11 × 20?

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