Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 218 · 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 14 + 3 ÷ 9 × 10?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 7 ÷ 7 × 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 15 − 5 + 2?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 20 + 20 − 9?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 14 − 10 ÷ 19?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 − 15 × 17?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 8 − 8 × 9?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 3 − 10 + 13?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 11 + 19 ÷ 4?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 3 ÷ 5 × 3?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 5 − 15 × 5?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 13 ÷ 9 + 17?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 18 × 10 ÷ 18?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 × 10 + 18?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 6 − 14 ÷ 8?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 8 × 2 ÷ 16?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 3 × 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 6 + 2 ÷ 18?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 12 ÷ 4 × 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 4 ÷ 3 × 4?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 14 − 2 ÷ 15?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 × 2 − 12?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 4 − 16 × 10?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 12 ÷ 3 + 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 × 19 ÷ 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 × 18 ÷ 13?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 12 − 4 × 13?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 10 − 3 + 3?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 13 × 6 − 12?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 18 − 6 ÷ 6?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 6 ÷ 19 + 10?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 15 ÷ 16 − 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 18 − 13 ÷ 5?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 4 − 20 ÷ 5?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 16 ÷ 13 × 11?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 20 ÷ 6 + 15?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 6 − 14 ÷ 5?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 4 + 9 ÷ 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 12 − 20 × 6?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 6 × 15 ÷ 8?

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