Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 919 · 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 + 8 × 2 ÷ 6?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 7 × 2 + 14?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 15 ÷ 2 + 12?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 ÷ 14 × 18?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 × 2 ÷ 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 9 × 8 − 2?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 14 + 5 ÷ 19?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 2 × 13 ÷ 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 + 4 × 8?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 2 + 4 ÷ 19?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 11 ÷ 9 × 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 8 + 4 × 13?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 ÷ 16 × 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 4 × 11 ÷ 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 ÷ 14 × 15?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 12 + 11 − 11?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 − 17 + 4 × 15?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 10 − 13 ÷ 8?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 × 12 + 12?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 8 − 20 ÷ 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 9 ÷ 13 − 9?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 3 × 6 ÷ 8?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 7 + 3 − 12?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 9 − 6?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 6 − 8 + 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 5 ÷ 9 + 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 10 + 15 ÷ 5?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 7 + 18 − 7?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 10 − 5 × 6?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 ÷ 8 × 5?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 5 − 3 × 9?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 + 5 × 4?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 6 ÷ 16 + 12?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 2 − 8 × 10?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 5 ÷ 18 × 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 2 ÷ 10 + 13?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 4 × 2 − 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 7 × 7 ÷ 20?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 8 − 4 + 14?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 9 + 3 × 11 ÷ 9?

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