Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 903 · 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 2 ÷ 16 + 6 × 6?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 17 − 20 ÷ 14?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 12 × 19 − 11?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 2 ÷ 5 × 11?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 4 × 11 ÷ 8?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 9 × 4 + 15?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 13 − 2 × 6?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 18 ÷ 15 + 3?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 8 − 6 ÷ 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 13 − 10 × 5?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 5 ÷ 13 × 19?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 10 ÷ 5 + 12?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 + 18 ÷ 7?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 14 ÷ 14 × 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 ÷ 19 − 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 + 10 − 8?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 17 − 5 + 17?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 8 + 16 × 20?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 5 ÷ 13 + 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 16 − 17 + 7?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 19 × 2 ÷ 11?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 4 − 2 + 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 − 5 ÷ 4?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 2 ÷ 4 × 4?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 10 × 2 ÷ 7?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 6 + 14 ÷ 19?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 × 18 − 11?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 3 ÷ 5 × 8?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 13 × 5 ÷ 16?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 16 + 20 × 10?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 17 − 6 × 3?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 16 × 20 − 4?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 2 × 4 + 2?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 6 + 3 × 11?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 18 × 17 ÷ 20?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 18 × 6 ÷ 6?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 5 × 16 − 17?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 9 × 6 + 6?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 10 × 18 + 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 + 15 × 6?

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