Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 236 · 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 18 + 17 × 3 ÷ 13?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 + 7 − 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 15 × 17 − 3?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 ÷ 8 × 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 + 2 ÷ 20?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 5 × 9 + 5?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 × 6 − 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 6 + 5 ÷ 13?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 20 ÷ 17 − 17?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 8 ÷ 3 − 8?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 3 − 16 ÷ 6?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 16 ÷ 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 2 − 7 + 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 17 + 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 14 ÷ 14 − 16?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 19 − 16 × 19?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 19 × 12 − 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 ÷ 4 − 2?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 ÷ 14 − 19?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 12 + 6 − 6?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 5 × 5 + 5?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 16 ÷ 10 + 9?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 2 − 6 ÷ 15?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 12 − 10 × 3?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 4 + 19 ÷ 20?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 11 − 11 ÷ 15?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 5 + 5 × 2?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 6 × 11 ÷ 16?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 18 + 20 ÷ 11?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 4 − 3 ÷ 12?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 17 ÷ 18 × 16?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 − 6 × 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 13 ÷ 10 − 7?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 14 × 2 ÷ 10?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 8 × 16 ÷ 6?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 2 + 16 − 8?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 19 × 11 ÷ 11?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 16 ÷ 5 − 13?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 4 − 7 + 14?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 8 + 4 ÷ 7?

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