Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 220 · 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 6 ÷ 5 − 12 × 3?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 13 − 6 × 12?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 6 ÷ 17 × 12?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 × 4 + 17?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 10 × 11 ÷ 10?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 + 8 × 4?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 10 ÷ 15 × 8?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 19 × 3 ÷ 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 15 + 18 ÷ 12?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 10 + 13 ÷ 11?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 2 × 13 − 9?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 3 ÷ 11 × 17?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 15 × 5 ÷ 6?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 18 × 16 + 5?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 9 ÷ 12 + 11?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 12 − 17 + 18?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 − 2 ÷ 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 2 × 17 ÷ 5?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 12 + 18?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 17 × 10 − 14?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 3 × 2 ÷ 8?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 ÷ 7 × 2?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 2 + 3 ÷ 2?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 16 + 18 − 18?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 20 ÷ 16 × 5?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 10 − 7 + 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 12 − 12 + 2?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 8 ÷ 3 − 7?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 2 − 15 + 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 6 ÷ 7 − 8?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 20 ÷ 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 2 + 2 ÷ 7?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 16 − 16 + 4?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 5 ÷ 3 × 12?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 20 − 6 × 17?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 20 − 11 + 11?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 18 ÷ 20 × 12?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 18 − 18 × 9?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 10 − 7 ÷ 2?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 19 − 16 + 14?

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