Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 232 · 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 3 + 3 − 13 × 13?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 ÷ 10 − 6?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 14 + 12 − 12?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 14 − 2 ÷ 17?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 ÷ 6 × 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 + 18 ÷ 19?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 20 − 4 × 10?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 12 + 14 − 11?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 − 16 × 15?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 3 ÷ 10 + 15?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 15 ÷ 15 × 12?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 19 × 19 + 19?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 + 16 − 18?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 12 + 3 ÷ 17?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 + 5 − 16 × 5?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 15 + 4 × 8?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 2 ÷ 20?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 13 + 13 − 16?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 12 − 4 + 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 7 − 6 ÷ 2?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 20 + 16 − 20?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 8 × 6 − 2?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 8 × 2 ÷ 3?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 13 − 10 ÷ 6?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 10 ÷ 14 + 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 2 × 4 ÷ 6?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 8 ÷ 4 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 5 × 12 ÷ 12?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 16 × 12 + 7?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 20 ÷ 10 − 2?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 18 − 15 + 3?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 5 ÷ 2?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 8 ÷ 8 − 20?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 4 × 14 ÷ 11?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 20 ÷ 13 + 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 19 + 16 × 19?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 ÷ 4 − 2?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 17 + 4 − 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 17 + 7 ÷ 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 8 ÷ 9 + 4?

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