Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 517 · 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 17 ÷ 6 + 8 × 20?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 ÷ 12 − 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 20 ÷ 3 − 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 × 3 ÷ 11?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 12 + 3 ÷ 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 7 − 8 + 14?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 20 + 6 ÷ 19?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 6 − 4 + 16?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 × 20 ÷ 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 18 + 4?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 15 × 20 − 10?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 16 − 16 ÷ 10?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 13 + 18 × 20?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 2 ÷ 16 + 19?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 7 ÷ 17 − 9?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 20 × 20 ÷ 20?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 + 15 − 9?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 9 − 3 × 9?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 11 ÷ 20 − 19?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 ÷ 8 + 8?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 4 − 8 + 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 18 ÷ 8 − 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 − 2 + 4?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 20 ÷ 8 + 17?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 15 + 12 − 20?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 3 × 18 ÷ 4?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 17 ÷ 12 − 13?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 + 18 − 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 × 8 + 6?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 9 + 7 ÷ 6?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 9 − 4 + 12?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 ÷ 15 + 7?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 ÷ 16 − 2?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 20 ÷ 2 × 20?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 8 − 8 + 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 − 20 + 12?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 14 ÷ 5 − 10?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 × 11 ÷ 9?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 13 × 8 − 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 − 8 + 7?

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