Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 582 · 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 16 ÷ 14 − 11 + 3?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 5 × 2 − 13?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 11 ÷ 11 + 7?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 17 + 2 × 2?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 18 − 13 ÷ 19?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 20 × 16 − 14?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 13 × 19 ÷ 16?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 19 − 5 + 11?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 16 + 6 ÷ 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 9 × 3 + 12?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 15 ÷ 3 × 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 × 13 − 8 ÷ 19?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 18 × 7 ÷ 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 6 × 2 − 8?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 2 + 7 ÷ 19?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 × 15 ÷ 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 12 ÷ 14 + 18?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 − 6 ÷ 17?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 12 + 4 × 5?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 14 + 9 ÷ 15?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 6 − 3 × 17?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 3 − 2 ÷ 16?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 6 × 3 ÷ 12?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 19 − 12 + 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 4 ÷ 20 × 2?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 13 − 8 × 19?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 9 + 10 − 10?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 3 × 15 + 15?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 17 ÷ 6 × 15?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 12 − 10 × 5?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 4 − 2 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 10 + 2 × 16?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 16 ÷ 17 + 3?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 19 ÷ 4 + 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 7 × 18 − 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 18 ÷ 7 × 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 4 × 12 − 9?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 10 ÷ 3 + 4?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 ÷ 7 × 16?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 + 4 − 13?

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