Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 560 · 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 14 × 5 ÷ 4 − 8?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 × 5 ÷ 20 + 9?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 × 12 ÷ 13?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 ÷ 12 + 6?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 16 + 9 × 16?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 17 ÷ 11 + 20?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 11 ÷ 10 − 12?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 14 ÷ 14 × 6?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 9 × 11 ÷ 9?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 16 ÷ 3 − 17?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 9 × 8 ÷ 6?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 × 13 ÷ 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 19 + 18 ÷ 15?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 20 + 16 ÷ 6?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 2 ÷ 6 × 3?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 14 + 17 × 12?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 10 × 5 + 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 5 × 2 − 2?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 − 5 ÷ 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 2 − 7 × 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 − 10 ÷ 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 12 + 15 × 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 2 − 2 + 12?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 5 ÷ 20 × 17?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 7 − 10 × 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 5 − 15 + 15?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 12 ÷ 5 − 4?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 + 4 ÷ 6?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 15 ÷ 14 + 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 15 − 8 × 20?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 15 × 8 − 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 9 ÷ 15 + 8?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 3 − 11 ÷ 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 ÷ 9 × 8?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 11 − 16 ÷ 18?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 20 − 5 + 13?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 10 × 18 − 19?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 10 × 10 ÷ 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 − 5 + 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 ÷ 14 + 16?

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