Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 131 · 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 19 − 5 ÷ 9 × 20?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 12 − 6 + 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 3 ÷ 15 − 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 9 ÷ 6 + 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 9 ÷ 5 − 7?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 9 + 9 − 19?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 17 × 14 ÷ 11?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 9 × 3 ÷ 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 19 ÷ 19 − 17?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 6 × 2 + 3?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 8 − 17 × 8?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 ÷ 16 × 10?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 6 − 5 + 8?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 × 20 ÷ 16?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 12 × 5 + 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 7 − 9 ÷ 16?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 13 − 13 + 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 × 3 ÷ 20?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 12 − 11 ÷ 19?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 16 + 2 × 16?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 18 − 6 + 17?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 2 − 18 × 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 19 − 19 + 10?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 14 ÷ 20 × 20?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 17 × 13 + 19?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 2 + 8 − 8?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 15 − 9 + 14?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 4 ÷ 2 − 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 10 ÷ 11 + 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 17 − 14 + 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 − 2 + 7?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 + 2 × 3?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 5 ÷ 7 × 17?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 ÷ 11 × 3?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 9 − 12 + 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 3 + 7 × 13?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 + 18 − 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 8 × 2 − 14?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 17 ÷ 12 + 14?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 × 20 − 7?

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