Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 257 · 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 6 × 10 − 3 ÷ 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 11 ÷ 3 − 10?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 2 − 12 + 6?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 2 ÷ 18 + 12?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 + 3 × 10?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 20 × 6 ÷ 19?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 13 ÷ 18 − 4?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 11 − 16 × 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 3 ÷ 3 − 17?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 14 + 14 × 14?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 15 + 6 − 12?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 3 × 10 ÷ 18?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 7 + 4 ÷ 12?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 × 3 ÷ 6?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 14 − 5 ÷ 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 20 × 10 − 20?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 ÷ 20 + 4?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 4 + 15 − 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 11 × 5 ÷ 6?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 12 − 14 ÷ 3?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 5 − 20 + 20?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 + 8 × 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 7 + 4 − 4?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 12 ÷ 12 × 8?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 17 × 13 + 13?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 19 ÷ 2 − 19?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 6 + 15 ÷ 13?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 11 − 4 + 6?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 19 × 19 − 6?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 19 × 13 ÷ 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 2 ÷ 12 × 6?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 7 + 8 − 15?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 3 + 20 − 2?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 14 × 3 − 11?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 12 − 19 × 19?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 14 − 5 × 13?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 7 + 6 ÷ 3?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 × 16 − 13?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 + 6 × 14?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 18 ÷ 2 + 6?

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