Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 295 · 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 2 ÷ 8 − 11 × 15?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 19 ÷ 5 + 19?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 × 4 ÷ 11?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 11 + 5 ÷ 6?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 11 ÷ 5 × 19?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 6 + 2 × 20?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 2 ÷ 17 + 9?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 ÷ 5 × 6?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 2 ÷ 4 × 20?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 + 4 ÷ 12?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 ÷ 18 − 3?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 9 ÷ 10 − 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 18 − 3 + 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 20 ÷ 10 − 13?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 17 ÷ 6 × 6?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 20 + 16 − 5?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 20 + 4 − 10?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 11 × 8 − 11?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 12 + 3 ÷ 13?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 15 × 9 ÷ 15?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 12 − 8 + 9?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 17 ÷ 4 − 12?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 10 ÷ 5 − 12?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 4 − 8 ÷ 7?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 14 × 7 ÷ 6?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 9 ÷ 19 × 12?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 11 × 16?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 8 × 19 ÷ 8?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 13 + 8 − 4?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 12 − 20 + 20?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 9 − 9 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 19 + 19 ÷ 18?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 19 × 5 + 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 − 20 ÷ 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 14 × 9 ÷ 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 20 + 17 ÷ 8?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 13 − 13 × 8?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 15 − 10 × 12?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 5 + 4 × 15?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 ÷ 15 + 5?

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