Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 794 · 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 − 12 + 17 ÷ 10?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 14 − 10 + 6?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 6 × 3 − 13?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 20 × 2 ÷ 4?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 4 ÷ 17 + 15?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 5 ÷ 8 × 4?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 4 − 12 ÷ 12?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 6 + 14 × 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 12 × 3 ÷ 11?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 × 18 + 9?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 18 × 18 ÷ 16?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 6 + 3 − 17?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 ÷ 18 − 13?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 4 ÷ 7 × 7?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 ÷ 4 + 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 15 ÷ 20 − 5?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 11 ÷ 2 − 8?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 18 + 2 × 6?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 12 − 13 + 16?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 9 − 19 ÷ 11?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 20 − 7 × 7?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 5 + 9 × 11?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 13 + 4?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 4 − 2 + 12?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 × 7 ÷ 19?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 14 + 8 − 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 3 ÷ 2 + 13?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 × 12 + 19?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 17 + 14 × 6?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 9 − 2 ÷ 6?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 ÷ 14 − 4?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 18 ÷ 4 × 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 4 × 4 ÷ 15?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 17 × 3 + 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 4 ÷ 17 − 4?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 16 − 14 × 16?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 10 − 5 ÷ 8?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 19 + 19 × 19?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 3 − 13 + 6?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 12 + 2 − 5?

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