Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 824 · 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 ÷ 19 − 13 + 8?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 12 × 17 ÷ 5?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 + 7 ÷ 10?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 2 ÷ 10 × 15?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 10 ÷ 2 + 7?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 14 + 6 ÷ 2?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 7 × 4 ÷ 16?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 14 + 20 ÷ 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 − 5 ÷ 7?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 3 × 4 − 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 + 2 ÷ 8?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 5 ÷ 19 − 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 + 9 ÷ 3?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 19 × 17 − 4?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 18 ÷ 13 − 7?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 × 9 − 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 13 − 12 × 2?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 3 ÷ 16 − 7?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 18 × 12 − 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 18 + 14 × 19?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 9 − 5 + 20?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 12 + 6 × 19?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 9 + 9 ÷ 5?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 10 + 4 ÷ 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 5 + 19 × 11?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 2 × 10 − 12?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 10 − 2 × 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 16 × 2 + 17?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 + 8 × 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 6 + 3 ÷ 6?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 + 2 × 4?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 9 × 4 + 4?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 10 + 5 × 13?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 4 × 12 − 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 11 × 19 − 4?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 20 ÷ 3 × 20?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 + 19 × 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 2 − 2 + 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 5 × 20 ÷ 13?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 ÷ 10 × 20?

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