Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 172 · 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 ÷ 6 × 3 − 13?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 13 ÷ 19 − 9?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 6 + 6 − 8?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 10 − 17 ÷ 8?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 × 17 − 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 11 − 5 + 8?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 5 ÷ 15 + 18?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 12 × 4 + 4?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 3 ÷ 7 × 6?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 19 × 13 − 12?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 2 + 6 × 3?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 19 + 19 − 3?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 16 + 2 ÷ 12?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 19 ÷ 11 × 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 17 ÷ 10 − 10?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 15 − 15 + 6?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 × 4 ÷ 9?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 + 9 ÷ 18?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 16 + 16?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 15 + 6 × 18?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 20 + 7 ÷ 8?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 ÷ 16 − 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 18 + 2 × 3?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 4 + 7 − 2?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 12 × 3 − 17?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 ÷ 2 + 11?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 17 + 19 − 15?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 14 − 2 ÷ 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 2 + 14 − 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 13 ÷ 16 + 15?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 × 17 + 19?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 4 − 20 ÷ 19?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 20 × 2 + 8?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 17 ÷ 17 × 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 3 × 20 ÷ 18?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 13 ÷ 15 + 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 6 + 20 × 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 5 ÷ 15 − 5?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 5 × 14 ÷ 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 × 4 ÷ 13?

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