Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 348 · 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 3 − 15 + 5 ÷ 20?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 13 + 6 ÷ 15?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 − 4 ÷ 5?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 6 − 4 ÷ 17?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 8 − 16 ÷ 20?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 2 − 16 × 19?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 5 × 7 − 2?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 − 12 × 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 6 − 9 + 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 ÷ 19 + 15?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 8 × 10?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 6 × 4 ÷ 6?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 16 ÷ 8?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 5 − 9 + 18?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 14 − 18 + 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 12 ÷ 17 × 15?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 3 − 2 ÷ 14?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 16 × 17 + 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 + 5 ÷ 13?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 − 18 × 17?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 × 2 ÷ 3?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 6 ÷ 3 − 3?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 8 × 2 − 11?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 10 + 9 ÷ 19?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 8 ÷ 3 − 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 17 × 9 + 13?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 8 × 19 + 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 10 + 13 ÷ 16?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 9 − 18 ÷ 7?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 7 − 20 + 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 5 + 12 − 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 5 − 3 ÷ 17?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 14 − 18 + 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 2 ÷ 12 + 2?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 14 + 7 ÷ 13?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 ÷ 14 − 16?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 10 + 17 × 5?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 15 − 3 + 11?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 ÷ 7 + 7?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 3 ÷ 9 × 9?

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