Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 382 · 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 5 − 6 ÷ 17 × 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 × 20 − 20?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 14 + 17 ÷ 10?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 8 − 5 + 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 12 ÷ 18 − 16?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 4 × 9 − 20?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 18 + 14 − 14?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 3 ÷ 14 × 11?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 20 × 6 ÷ 8?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 20 × 8 − 13?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 2 × 15 − 4?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 11 − 12 ÷ 12?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 14 × 5 − 20?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 11 ÷ 19 + 11?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 + 17 × 9?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 ÷ 4 × 12?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 5 + 3 ÷ 7?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 14 × 10 − 20?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 10 × 10 ÷ 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 3 ÷ 13 − 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 15 × 15 + 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 16 − 2 ÷ 19?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 18 ÷ 16 × 6?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 4 + 10 − 8?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 4 ÷ 18 − 3?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 ÷ 7 × 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 16 − 2 × 8?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 18 − 6 × 8?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 13 × 14 + 13?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 + 18 − 6?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 5 ÷ 3 − 15?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 12 × 17 ÷ 12?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 × 18 ÷ 4?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 − 10 ÷ 11?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 18 − 11 ÷ 3?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 9 − 14 + 12?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 11 − 20 × 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 3 − 13 ÷ 11?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 12 − 7 × 4?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 11 − 11 × 4?

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