Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 863 · 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 4 − 6 × 6 ÷ 7?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 12 − 4 + 19?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 ÷ 3 + 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 + 4 − 17?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 10 + 10 − 5?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 − 5 ÷ 11 × 14?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 15 × 17 ÷ 10?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 18 ÷ 18 × 3?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 6 × 6 − 15?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 3 − 8 + 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 17 × 10 + 8?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 18 ÷ 18 + 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 − 15 + 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 − 16 + 2?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 2 − 5 × 12?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 12 ÷ 6 − 12?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 ÷ 20 × 13?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 18 + 12 × 6?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 9 ÷ 20 − 7?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 × 8 − 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 6 − 20 + 2?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 5 ÷ 6 + 7?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 10 ÷ 18 + 7?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 12 − 5 ÷ 5?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 8 × 8 + 14?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 18 + 20 × 15?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 16 + 2 × 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 − 3 ÷ 11?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 15 + 4 − 2?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 12 + 4 − 15?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 14 − 6 × 12?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 × 8 − 16?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 4 ÷ 17 × 5?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 20 + 4 ÷ 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 15 − 4 ÷ 11?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 6 × 12 ÷ 4?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 − 9 ÷ 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 10 × 20 ÷ 3?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 20 + 9 − 9?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 5 × 15 − 9?

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