Symbol Substitution Worksheet

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

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