Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 506 · 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 ÷ 20 − 5 × 6?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 + 3 × 3?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 4 + 12 ÷ 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 × 6 + 15?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 8 ÷ 16 − 5?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 17 × 17 + 13?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 20 − 2 ÷ 19?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 16 + 17 × 2?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 4 ÷ 12 × 4?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 − 2 ÷ 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 9 × 9 − 20?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 − 18 ÷ 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 10 × 2 ÷ 12?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 ÷ 2 + 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 12 ÷ 18 − 2?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 14 − 6 × 4?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 4 ÷ 13 + 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 − 13 + 20?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 16 − 3 + 8?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 5 ÷ 7 + 12?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 9 + 6 × 14?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 2 + 18 − 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 18 ÷ 20 + 15?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 6 × 3 − 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 8 + 8 × 9?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 16 − 12 ÷ 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 ÷ 13 − 12?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 8 + 14 − 7?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 17 ÷ 10 − 11?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 12 ÷ 20 − 10?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 19 + 20 ÷ 15?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 ÷ 17 × 3?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 5 × 8 − 9?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 + 9 × 5?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 10 − 16 × 6?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 14 ÷ 6 × 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 9 × 16 ÷ 20?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 − 6 ÷ 16?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 12 ÷ 9 − 2?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 ÷ 16 + 12?

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