Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 215 · 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 7 − 7 ÷ 20 + 2?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 17 + 19 ÷ 13?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 16 ÷ 8 + 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 19 ÷ 16 × 3?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 3 − 7 + 11?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 14 + 5 − 2?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 9 × 5 + 16?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 2 × 10 ÷ 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 16 ÷ 8 − 3?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 × 5 + 5 − 14?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 18 ÷ 15 × 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 5 × 16 ÷ 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 ÷ 3 + 5?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 14 − 6 + 11?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 4 + 8 × 2?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 2 × 5 ÷ 16?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 − 20 ÷ 17?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 3 × 12 + 12?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 11 − 20 + 9?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 4 − 13 + 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 16 × 9 − 18?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 18 − 13 ÷ 4?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 × 5 ÷ 9?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 ÷ 10 × 9?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 18 × 11 ÷ 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 ÷ 9 − 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 7 ÷ 11 + 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 3 + 10 − 10?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 14 ÷ 14 + 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 4 ÷ 20 + 20?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 2 − 16 + 17?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 12 × 5 ÷ 19?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 4 × 2 ÷ 2?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 14 ÷ 8 − 4?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 12 × 2 + 13?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 + 5 ÷ 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 13 × 15 − 3?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 16 × 3 + 18?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 18 − 9 ÷ 17?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 16 − 2 ÷ 10?

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