Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 642 · 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 16 + 2 ÷ 5 − 11?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 13 + 2 × 13?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 20 ÷ 20 × 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 × 5 ÷ 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 13 ÷ 2 − 11?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 17 − 12 + 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 20 ÷ 17 − 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 20 + 18 − 2?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 ÷ 3 × 13?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 ÷ 10 × 13?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 6 × 13 − 13?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 15 ÷ 6 − 13?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 7 + 19 − 17?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 14 × 14 ÷ 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 5 − 6 + 11?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 20 − 4 ÷ 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 9 + 6 × 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 8 + 5 ÷ 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 2 + 12 × 2?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 11 × 2 ÷ 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 × 7 + 12?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 3 ÷ 19 + 13?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 ÷ 10 + 10?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 10 ÷ 5 × 9?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 2 × 13 ÷ 20?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 × 2 ÷ 4 − 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 14 × 3 ÷ 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 9 − 9 + 11?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 14 − 18 + 3?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 18 + 2 ÷ 4?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 2 ÷ 19 + 14?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 11 ÷ 7 × 13?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 5 × 14 ÷ 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 18 − 15 + 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 6 ÷ 19 × 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 18 − 6 ÷ 3?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 + 18 − 9?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 2 × 2 − 5?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 4 × 2 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 6 × 6 − 7?

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