Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 413 · 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 17 × 5 ÷ 20 − 7?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 15 − 13 + 6?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 − 2 × 17?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 2 − 14 + 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 8 × 12 − 16?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 4 − 20 + 9?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 19 ÷ 6 − 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 ÷ 13 − 16?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 4 + 6 ÷ 2?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 10 − 9 ÷ 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 11 × 2 − 16?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 6 + 10 ÷ 14?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 20 + 6 ÷ 6?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 3 + 13 − 9?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 7 × 2 − 8?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 19 × 2 + 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 13 + 4 × 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 16 × 6 + 2?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 3 + 2 × 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 20 ÷ 11 × 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 18 × 19?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 + 3 × 10 − 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 16 × 20 ÷ 20?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 16 ÷ 3 × 11?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 4 + 10 × 8?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 5 × 4 ÷ 13?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 6 − 10 + 13?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 15 ÷ 5 × 7?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 11 ÷ 4 − 2?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 10 × 4 + 16?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 6 × 2 ÷ 19?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 + 5 ÷ 6?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 18 − 15 ÷ 13?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 15 − 6 + 5?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 14 + 2 − 20?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 20 − 4 ÷ 14?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 8 ÷ 11 × 4?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 ÷ 10 × 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 4 − 8 ÷ 10?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 4 × 2 ÷ 4?

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