Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 62 · 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 + 5 × 5 − 5?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 5 − 3 + 10?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 19 × 14 + 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 9 − 3 ÷ 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 ÷ 13 + 14?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 2 ÷ 11 − 7?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 17 × 4 + 7?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 11 ÷ 5 + 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 19 − 20 + 10?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 3 × 5 + 5?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 17 ÷ 4 − 17?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 4 × 4 − 13?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 15 ÷ 2 + 9?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 13 − 12 + 11?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 6 ÷ 4 − 5?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 ÷ 6 − 14?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 3 + 14 − 15?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 16 ÷ 15 + 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 × 20 ÷ 11?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 17 ÷ 6 × 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 11 ÷ 13 − 10?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 9 − 6 × 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 10 − 3 ÷ 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 ÷ 17 + 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 × 13 ÷ 13?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 9 × 7 ÷ 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 2 − 15 × 14?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 ÷ 10 − 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 16 × 20 − 4?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 3 ÷ 7 × 5?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 17 ÷ 13 + 9?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 15 × 11 ÷ 11?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 6 × 6 ÷ 19?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 8 + 8 − 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 9 + 12 − 4?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 9 ÷ 9 × 12?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 5 − 15 × 3?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 4 − 10 + 11?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 6 × 11 ÷ 13?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 16 + 7 × 11?

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