Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 57 · 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 4 ÷ 13 − 13 × 5?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 × 13 − 12?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 12 + 16 − 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 16 + 5 ÷ 7?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 19 ÷ 5 − 14?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 × 4 ÷ 3?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 9 ÷ 19 × 11?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 16 − 8 × 20?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 10 × 7 + 11?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 17 − 15 × 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 − 9 × 8?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 − 9 × 3?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 4 ÷ 16 + 8?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 10 ÷ 10 × 6?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 16 × 11 − 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 12 + 3 − 7?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 20 ÷ 5 + 2?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 6 + 9 ÷ 11?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 2 + 9 − 6?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 9 − 8 × 3?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 16 ÷ 3 − 9?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 11 − 4 ÷ 16?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 × 16 ÷ 13?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 2 − 12 ÷ 16?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 19 + 4 ÷ 10?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 × 2 + 5?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 5 ÷ 18 + 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 + 11 ÷ 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 × 2 ÷ 6 + 3?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 10 ÷ 20 − 10?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 2 + 6 ÷ 9?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 8 × 9 ÷ 10?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 6 ÷ 5 − 14?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 20 × 17 ÷ 13?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 5 + 16 − 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 19 ÷ 2 − 17?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 18 × 19 ÷ 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 15 × 5 ÷ 20?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 3 + 14 − 3?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 × 10 ÷ 10?

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