Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 234 · 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 20 + 3 − 17 ÷ 12?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 18 − 17 ÷ 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 9 ÷ 2 + 9?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 19 ÷ 19 − 5?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 + 6 × 12?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 8 × 2 − 8?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 16 ÷ 8 × 12?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 3 ÷ 3 + 5?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 9 ÷ 2 × 12?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 10 − 13 ÷ 11?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 12 − 17 ÷ 7?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 8 − 7 ÷ 4?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 16 + 9 ÷ 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 20 + 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 18 + 5 × 19?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 ÷ 15 × 8?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 2 − 12 ÷ 17?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 3 − 6 ÷ 11?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 3 ÷ 7 × 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 6 − 4 × 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 19 ÷ 10 − 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 8 − 17 ÷ 11?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 16 + 16 ÷ 2?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 + 11 ÷ 6?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 11 × 16 + 4?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 3 ÷ 10 − 14?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 3 × 11 − 17?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 ÷ 18 + 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 20 + 4 ÷ 20?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 15 ÷ 15 − 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 20 − 11 ÷ 20?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 13 × 13 − 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 9 − 17 ÷ 17?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 12 ÷ 8 − 18?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 3 × 3 + 3?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 19 − 3 ÷ 17?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 2 × 9 − 20?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 − 11 ÷ 9?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 7 ÷ 13 × 7?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 18 ÷ 13 × 4?

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