Symbol Substitution Worksheet

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

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