Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 204 · 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 14 + 9 − 8 ÷ 9?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 11 + 14 ÷ 7?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 5 − 20 ÷ 4?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 6 ÷ 10 − 5?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 14 × 12 ÷ 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 6 − 18 × 6?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 7 + 18 ÷ 6?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 2 + 16 ÷ 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 10 ÷ 17 × 2?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 20 × 8 ÷ 16?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 ÷ 7 − 11?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 19 × 4 ÷ 7?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 × 4 ÷ 20?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 19 + 19 − 20?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 18 ÷ 20 × 15?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 9 + 18 ÷ 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 14 ÷ 11 − 12?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 10 − 12 + 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 19 − 10 ÷ 8?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 20 × 2 ÷ 11?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 10 × 12 − 2?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 13 + 12 − 2?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 + 7 × 9?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 6 × 9 ÷ 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 10 ÷ 12 + 8?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 − 9 ÷ 16?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 16 ÷ 5 + 3?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 6 ÷ 7 × 11?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 4 + 20 ÷ 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 11 − 4 ÷ 19?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 18 ÷ 8 + 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 − 14 ÷ 16?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 5 × 7 ÷ 16?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 15 ÷ 18 + 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 8 × 11 − 11?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 8 × 12 ÷ 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 13 + 3 ÷ 8?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 12 + 18 ÷ 11?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 5 ÷ 14 + 2?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 20 − 5 + 7?

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