Symbol Substitution Worksheet

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

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