Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 431 · 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 12 × 2 − 2 ÷ 8?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 11 − 3 + 9?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 4 ÷ 5 + 18?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 3 + 3 ÷ 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 19 × 20 ÷ 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 5 × 12 − 2?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 ÷ 20 − 17?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 17 + 4 ÷ 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 7 × 7 ÷ 2?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 19 + 18 − 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 6 + 6 ÷ 19?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 19 + 6 × 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 19 ÷ 7 × 8?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 + 12 ÷ 2?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 8 ÷ 3 × 5?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 16 − 20 ÷ 7?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 15 − 3 × 5?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 16 × 8 ÷ 4?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 − 19 ÷ 18?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 × 10 ÷ 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 + 3 ÷ 12?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 11 − 20 + 16?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 − 12 × 13?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 15 − 8 + 9?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 18 × 2 ÷ 18?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 12 − 19 × 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 13 + 4 × 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 ÷ 10 − 5?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 15 − 5 × 19?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 18 + 18 − 2?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 14 + 7 × 12?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 20 − 8 ÷ 19?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 7 + 7 × 14?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 5 + 15 − 18?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 17 × 9 ÷ 6?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 16 × 18 + 6?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 13 ÷ 17 × 15?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 15 + 20 − 20?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 9 × 3 ÷ 4?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 3 × 4 ÷ 3?

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