Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 902 · 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 11 − 7 + 6 ÷ 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 9 ÷ 17 + 12?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 20 − 3 ÷ 9?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 2 ÷ 3 × 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 17 × 19 ÷ 15?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 9 ÷ 18 + 15?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 10 ÷ 8 × 4?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 10 − 15 × 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 × 4 − 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 16 ÷ 2 + 5?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 ÷ 3 − 13?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 10 + 6 ÷ 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 19 ÷ 15 + 15?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 17 + 6 − 11?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 + 12 × 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 − 16 + 8?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 9 ÷ 16 × 13?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 + 4 − 16?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 × 6 ÷ 9?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 20 + 5 × 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 − 4 + 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 18 ÷ 7 + 10?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 4 ÷ 5 + 18?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 3 ÷ 9 × 15?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 15 ÷ 16 − 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 17 − 13 + 15?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 7 − 11 ÷ 17?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 12 ÷ 8 − 8?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 × 5 − 11 ÷ 9?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 14 + 19 ÷ 9?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 8 ÷ 6 + 7?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 10 − 15 ÷ 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 20 ÷ 8 − 6?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 20 × 14 ÷ 9?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 5 ÷ 3 + 7?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 18 + 2 ÷ 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 × 16 ÷ 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 6 × 17?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 − 16 + 15 × 3?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 18 ÷ 8 + 3?

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