Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 181 · 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 + 2 − 8 ÷ 7?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 2 × 2 + 5?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 16 × 4 − 12?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 4 − 16 × 6?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 9 ÷ 17 + 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 19 ÷ 5 × 10?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 20 − 15 × 19?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 12 − 3 ÷ 16?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 7 × 9 ÷ 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 13 × 18 ÷ 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 15 − 5 + 8?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 − 2 ÷ 17?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 5 ÷ 15 × 20?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 × 4 + 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 3 ÷ 6?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 20 × 5 + 19?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 7 ÷ 20 + 19?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 4 − 11 + 13?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 11 × 20 − 13?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 + 4 × 4?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 4 − 4 ÷ 12?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 × 9 ÷ 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 4 − 18 + 12?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 5 − 15 × 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 − 4 ÷ 14?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 12 − 5 ÷ 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 10 − 14 × 2?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 4 + 2 − 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 × 15 − 5?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 − 17 + 15?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 8 − 20 ÷ 18?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 ÷ 20 − 7?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 13 ÷ 14 × 5?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 14 ÷ 15 × 12?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 12 ÷ 10 + 10?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 14 − 7 + 6?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 × 14 ÷ 7?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 19 − 4?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 7 − 10 + 10?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 6 ÷ 2 + 6?

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