Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 511 · 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 15 − 15 × 15 ÷ 9?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 16 × 20 ÷ 19?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 + 17 × 13?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 11 + 4 × 20?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 5 × 7 + 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 11 − 11 + 18?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 13 − 12 + 18?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 − 11 ÷ 14?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 + 10 − 15?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 17 + 16 − 8?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 5 + 4 ÷ 2?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 ÷ 3 − 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 12 × 7 ÷ 19?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 8 + 11 × 19?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 18 − 17 ÷ 5?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 19 − 20 + 14?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 2 ÷ 18 + 15?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 11 × 6 ÷ 6?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 15 ÷ 13 − 18?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 2 ÷ 7 × 7?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 2 ÷ 5 − 10?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 11 − 15 × 10?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 10 − 20 ÷ 14?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 2 ÷ 13 + 15?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 3 − 14 × 6?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 7 ÷ 18 − 9?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 17 × 7 − 3?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 5 + 19 × 15?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 16 − 14 ÷ 10?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 11 ÷ 2 × 20?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 7 − 7 ÷ 14?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 17 − 8 × 12?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 4 ÷ 18 + 16?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 16 × 15 ÷ 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 6 ÷ 4 × 17?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 9 ÷ 8 + 16?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 9 + 16 × 13?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 3 − 10 ÷ 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 10 + 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 8 − 6 + 17?

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