Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 205 · 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 5 ÷ 8 − 9 × 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 ÷ 5 − 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 12 − 14 + 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 13 ÷ 18 × 19?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 × 10 − 6?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 × 16 ÷ 16?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 16 − 16 + 5?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 3 ÷ 14 × 10?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 14 + 12 × 3?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 7 + 5 × 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 3 − 15 + 16?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 18 − 19 × 9?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 18 × 18 − 2?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 9 − 18 ÷ 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 × 7 + 4?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 3 − 2 ÷ 7?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 9 ÷ 9?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 13 ÷ 18 + 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 17 − 17 × 6?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 × 18 ÷ 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 5 ÷ 3 + 8?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 8 − 5 + 9?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 10 ÷ 8 × 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 15 × 15 − 2?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 × 8 ÷ 13?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 10 ÷ 16 − 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 + 4 ÷ 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 12 × 15 + 20?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 18 − 2 + 12?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 3 × 8 ÷ 12?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 16 × 8 + 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 6 + 2 ÷ 12?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 6 − 10 × 18?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 8 ÷ 6 × 10?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 ÷ 10 + 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 12 ÷ 20 × 4?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 19 + 16 × 20?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 11 − 7 + 8?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 6 ÷ 10 − 2?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 7 − 20?

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