Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 460 · 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 12 + 8 ÷ 18 × 3?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 − 2 + 10?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 11 − 20 + 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 12 + 4 × 3?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 8 × 4 − 2?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 × 7 + 19 − 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 9 − 20 ÷ 10?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 4 − 2 × 10?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 7 + 10 − 10?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 ÷ 2 + 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 + 7 × 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 2 − 20 ÷ 18?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 2 ÷ 10 − 10?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 3 − 7 ÷ 15?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 13 + 13 − 3 ÷ 11?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 15 ÷ 10 − 13?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 4 × 6 ÷ 12?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 15 × 15 − 8?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 ÷ 13 − 12?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 7 − 12 + 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 17 − 10 × 3?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 2 × 19 ÷ 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 7 + 6 ÷ 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 × 5 ÷ 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 17 + 8 × 10?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 7 ÷ 2 − 5?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 5 + 5 − 10?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 + 17 × 6?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 13 − 15 ÷ 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 8 − 15 × 9?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 17 ÷ 18 × 11?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 12 + 2 ÷ 19?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 12 − 17 + 12?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 18 ÷ 3 × 7?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 5 ÷ 18 − 7?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 2 − 14 × 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 × 8 + 4?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 2 − 13 + 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 6 + 3 × 17?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 11 ÷ 5 + 8?

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