Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 566 · 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 11 × 11 − 10 ÷ 6?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 18 + 4 ÷ 8?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 ÷ 13 − 6?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 4 × 7 ÷ 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 × 5 − 13?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 2 ÷ 3 × 16?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 4 + 7 − 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 7 − 5 + 5?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 9 + 16 ÷ 11?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 19 × 14 ÷ 17?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 3 − 13 + 6?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 − 19 × 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 × 5 ÷ 15?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 − 9 + 2?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 7 − 9 + 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 11 ÷ 13 + 4?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 6 + 2 − 8?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 12 × 6 + 4?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 5 × 5 + 4?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 15 + 11 ÷ 11?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 9 + 18 − 12?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 6 − 10 ÷ 9?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 19 ÷ 2 + 9?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 − 13 + 13 ÷ 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 13 − 4 ÷ 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 + 11 ÷ 20?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 × 2 + 14?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 13 + 2 ÷ 10?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 8 − 2 + 8?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 2 + 11 × 14?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 10 − 5 + 6?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 15 + 11?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 ÷ 20 × 14?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 9 + 13 ÷ 2?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 14 − 17 ÷ 2?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 16 × 15 − 18?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 19 − 12 + 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 3 ÷ 17 + 9?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 4 × 4 ÷ 12?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 15 + 12 − 4?

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