Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 103 · 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 ÷ 18 × 11?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 16 + 10 ÷ 3?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 4 × 20 + 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 19 ÷ 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 8 × 9 + 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 3 × 7 ÷ 19?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 9 + 3 ÷ 10?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 4 + 3 ÷ 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 2 × 10 ÷ 17?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 17 + 6 ÷ 19?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 19 − 19 × 2?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 × 20 ÷ 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 11 ÷ 14 − 9?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 6 − 3 + 19?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 12 − 2 ÷ 9?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 8 − 8 + 13?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 13 ÷ 15 × 6?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 10 × 8 − 16?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 − 4 ÷ 5?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 6 − 2 + 10?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 3 + 5 ÷ 3?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 15 − 4 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 − 5 ÷ 12?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 9 + 18 × 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 20 − 17 × 20?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 × 8 + 8?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 × 15 ÷ 19?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 10 × 4 ÷ 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 − 15 ÷ 15?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 20 − 16 + 3?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 16 − 20 × 10?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 19 ÷ 11 × 4?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 11 × 13 − 12?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 5 − 20 × 10?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 9 − 12 ÷ 17?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 12 × 13 − 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 13 + 5 × 2?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 3 ÷ 5 × 10?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 ÷ 14 × 18?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 19 + 18 × 19?

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