Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 455 · 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 18 + 2 ÷ 17 − 16?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 3 × 14 ÷ 5?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 ÷ 8 × 3?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 10 + 11 ÷ 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 2 ÷ 13 + 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 + 20 ÷ 20?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 17 + 17 ÷ 4 − 5?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 13 + 2 × 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 3 × 9 − 10?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 16 × 8 − 14?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 + 10 ÷ 15?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 11 − 2 × 13?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 12 × 13 − 2?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 13 ÷ 4 × 15?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 4 ÷ 8 + 4?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 − 8 ÷ 9?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 4 × 17 − 14?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 14 ÷ 9 × 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 3 ÷ 11 − 11?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 3 × 14 ÷ 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 3 × 8 − 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 15 − 4 × 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 16 + 6 ÷ 18?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 14 − 8 × 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 19 ÷ 13 × 5?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 7 + 7 × 15?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 × 19 ÷ 5?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 17 ÷ 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 20 − 19?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 ÷ 5 − 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 16 ÷ 10 − 10?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 3 − 20 + 15?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 19 + 18 × 4?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 × 6 ÷ 5?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 × 10 ÷ 17?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 2 − 19 × 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 17 + 16 × 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 + 13 − 16?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 9 − 8 × 4?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 14 − 17 + 9?

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