Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 403 · 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 − 11 ÷ 15 + 20?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 6 ÷ 5 × 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 × 16 − 19?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 16 ÷ 3 + 16?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 4 + 4 − 7?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 − 5 × 19 ÷ 9?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 8 + 11 − 11?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 8 − 5 ÷ 10?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 16 × 16 ÷ 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 2 − 13 ÷ 14?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 17 + 6 ÷ 2?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 × 3 ÷ 15?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 2 ÷ 12 × 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 7 ÷ 9 + 10?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 2 ÷ 14 + 3?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 9 ÷ 17 − 11?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 12 − 2 + 4?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 16 ÷ 4 + 4?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 18 + 6 ÷ 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 4 × 6 + 9?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 8 − 2 + 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 8 ÷ 7 + 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 3 ÷ 6 × 18?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 9 ÷ 20 − 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 × 20 ÷ 9?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 × 10 − 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 7 − 16 ÷ 18?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 ÷ 10 × 8?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 15 + 13 × 13?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 10 × 2 − 13?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 19 ÷ 10 × 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 5 ÷ 4 − 12?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 16 × 4 + 8?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 + 4 × 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 ÷ 2 × 12?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 × 15 ÷ 19?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 4 − 20 + 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 × 11 + 11 ÷ 16?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 15 − 2 ÷ 8?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 8 + 12 × 6?

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