Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 856 · 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 18 ÷ 11 + 11 × 4?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 − 15 × 11?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 14 + 5 ÷ 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 6 × 4 ÷ 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 8 − 7 + 12?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 11 × 10 ÷ 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 9 − 7 ÷ 13?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 8 + 4 − 9?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 13 ÷ 15 + 8?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 9 ÷ 17 × 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 8 × 7 − 19?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 5 × 9 − 15?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 16 ÷ 18 + 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 3 ÷ 4 − 6?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 5 + 8 × 13?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 5 × 11 − 15?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 13 − 10 + 15?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 5 − 12 ÷ 10?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 × 4 ÷ 14?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 × 3 ÷ 13?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 3 + 2 − 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 6 + 8 − 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 8 ÷ 5 + 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 8 − 6 + 14?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 12 + 10 × 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 9 − 15 × 3?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 13 × 10 ÷ 4?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 18 − 3 ÷ 12?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 10 + 20 ÷ 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 ÷ 17 × 9?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 16 ÷ 9 + 17?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 3 ÷ 17 + 6?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 8 − 4 ÷ 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 17 ÷ 3 × 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 × 9 + 12?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 8 + 4 × 19?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 5 − 9 ÷ 8?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 8 − 5 ÷ 6?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 10 × 5 − 9?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 2 × 15 ÷ 12?

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