Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 302 · 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 12 − 14 ÷ 5 + 3?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 17 − 13 + 13?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 19 × 11 + 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 8 − 3 ÷ 20?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 12 × 5 + 5?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 16 × 8 ÷ 5?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 + 19 − 20?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 18 + 20 ÷ 5?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 × 5 ÷ 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 7 − 12 + 7?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 12 ÷ 3 − 5?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 8 ÷ 20 − 20?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 11 + 15 ÷ 4?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 15 ÷ 7 − 12?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 10 × 19 ÷ 4?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 − 11 × 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 5 ÷ 20 − 2?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 8 ÷ 4 − 9?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 9 + 6 ÷ 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 11 − 4 × 7?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 16 × 4 ÷ 10?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 ÷ 12 − 9?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 2 + 3 ÷ 8?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 7 × 4 ÷ 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 15 − 12 ÷ 8?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 8 + 14 ÷ 11?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 10 − 19 ÷ 6?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 17 + 19 × 12?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 2 ÷ 10 × 12?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 8 ÷ 2 + 8?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 + 7 × 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 6 ÷ 6 − 4?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 15 × 16 + 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 12 ÷ 12 + 6?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 3 ÷ 11 − 17?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 + 18 ÷ 5?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 5 + 16 × 10?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 + 8 ÷ 7?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 6 × 18 + 17?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 15 − 7 ÷ 19?

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