Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 497 · 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 × 13 − 11 + 11?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 16 + 8 × 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 2 × 18 + 16?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 5 ÷ 4 + 2?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 9 − 14 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 − 13 ÷ 13?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 10 − 6 ÷ 15?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 17 + 18 × 15?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 3 ÷ 7 + 7?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 3 + 14 ÷ 9?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 18 × 18 + 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 12 + 3 − 18?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 3 − 5 × 3?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 9 × 3 + 3?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 7 + 4 − 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 ÷ 18 × 14?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 6 ÷ 9 + 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 8 × 5 + 14?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 3 × 14 ÷ 9?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 15 × 2 ÷ 15?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 10 − 9 × 9?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 18 − 2 + 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 ÷ 9 + 3?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 14 × 19 − 12?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 4 ÷ 3 × 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 7 ÷ 18 × 2?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 ÷ 17 + 2?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 19 − 5 ÷ 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 17 − 3 ÷ 18?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 11 + 9 − 3?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 13 ÷ 19 × 20?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 6 × 2 ÷ 13?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 9 − 18 ÷ 17?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 2 + 2 × 6?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 16 ÷ 4 + 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 18 × 5 ÷ 5?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 11 + 6 × 6?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 18 + 6 × 8?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 13 × 5 − 18?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 16 ÷ 18 × 6?

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