Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 508 · 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 ÷ 17 + 17 − 13?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 + 15 ÷ 17?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 18 ÷ 6 × 9?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 10 × 14 ÷ 19?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 16 + 9 ÷ 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 + 2 ÷ 8?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 8 × 20 ÷ 18?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 − 16 ÷ 16?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 + 5 × 9?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 9 + 12 × 12?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 6 ÷ 5 × 13?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 6 ÷ 13 + 4?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 12 − 13 + 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 2 + 11 ÷ 3?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 2 × 9 ÷ 6?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 14 − 19 × 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 5 × 17 − 11?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 18 ÷ 4 − 18?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 10 − 10 ÷ 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 11 ÷ 10 × 13?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 8 − 11 + 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 − 16 × 19?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 12 × 20 ÷ 4?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 5 − 4 × 9?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 8 ÷ 10 − 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 ÷ 11 + 11?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 16 + 6 − 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 6 − 2 + 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 3 − 18 + 17?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 18 ÷ 12 + 12?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 19 + 4 − 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 20 − 5 + 18?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 10 ÷ 11 + 6?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 19 − 4 ÷ 16?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 10 × 18 − 15?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 16 ÷ 19 − 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 8 × 2 ÷ 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 9 − 4 + 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 ÷ 6 + 19?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 15 ÷ 3 + 3?

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