Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 50 · 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 × 11 − 5 + 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 + 9 × 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 2 × 12 ÷ 13?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 8 − 2 × 5?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 + 4 − 9?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 17 ÷ 7 − 6?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 17 ÷ 18 − 6?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 × 20 ÷ 10?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 4 × 6 ÷ 11?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 8 ÷ 8 × 7?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 5 ÷ 13 + 6?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 19 × 17 ÷ 5?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 14 + 13 ÷ 3?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 8 + 12 − 6?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 7 + 4 − 15?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 7 + 13 × 11?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 12 − 2 + 5?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 17 − 3 ÷ 12?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 × 4 ÷ 9?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 13 − 5 ÷ 2?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 ÷ 8 × 2?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 5 − 3 ÷ 17?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 13 − 20 + 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 7 + 5 ÷ 13?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 12 ÷ 6 − 5?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 8 × 6 ÷ 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 9 − 14 ÷ 10?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 12 × 18 − 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 3 ÷ 10 + 16?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 7 − 12 ÷ 14?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 11 ÷ 4 − 2?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 4 − 9 ÷ 20?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 × 12 ÷ 8?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 15 − 19 + 17?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 8 + 6 × 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 3 + 2 × 8?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 4 × 7 + 11?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 12 ÷ 9 − 5?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 4 ÷ 3 − 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 11 + 20 × 9?

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