Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 251 · 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 17 × 5 ÷ 6 − 10?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 9 + 6 × 18?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 10 + 11 ÷ 13?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 ÷ 3 − 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 ÷ 12 × 15?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 10 ÷ 11 + 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 16 + 5 ÷ 15?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 7 × 6 ÷ 13?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 10 − 16 ÷ 7?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 13 ÷ 11 − 4?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 4 − 3 × 11?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 19 ÷ 12 − 8?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 2 ÷ 5 × 3?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 4 × 20 + 16?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 10 − 5 + 4?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 − 17 + 2?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 7 + 19 ÷ 6?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 14 × 6 + 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 16 ÷ 7 − 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 4 − 19 ÷ 17?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 6 × 14?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 11 ÷ 19 + 5?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 19 ÷ 3 + 8?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 5 ÷ 20 − 10?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 4 × 5 + 5?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 9 × 9 + 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 19 + 2 ÷ 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 11 ÷ 3?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 9 + 10 ÷ 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 − 19 × 19?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 15 ÷ 17 × 16?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 5 ÷ 6 − 3?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 ÷ 17 × 14?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 18 − 3 + 12?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 × 17 − 16?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 10 − 4 + 7?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 13 + 13 ÷ 17?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 10 × 17 − 20?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 3 + 12 × 6?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 + 2 − 20?

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