Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 226 · 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 2 × 2 ÷ 6 − 9?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 12 × 16 ÷ 16?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 8 − 8 × 11?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 8 − 4 × 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 5 − 15 ÷ 9?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 8 − 8 ÷ 7?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 ÷ 11 − 11?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 × 4 + 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 8 + 13 − 2?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 3 ÷ 17 − 14?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 × 14 ÷ 8?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 5 − 13 + 10?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 5 ÷ 9 × 19?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 18 + 10 − 18?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 5 − 20 × 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 + 18 − 6?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 ÷ 10 × 10?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 16 − 15 ÷ 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 2 ÷ 10 × 10?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 14 × 14 ÷ 9?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 4 ÷ 10 + 6?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 18 + 6 × 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 ÷ 20 − 6?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 18 + 4 − 5?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 + 20 ÷ 19?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 15 + 16 − 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 11 − 14 + 9?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 15 − 8 + 13?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 × 18 ÷ 6?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 19 ÷ 2 − 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 6 × 3?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 12 ÷ 13 + 4?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 16 ÷ 14 − 7?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 − 2 × 15?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 12 + 3 ÷ 5?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 × 14 ÷ 17?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 4 × 13 ÷ 17?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 20 − 2 + 14?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 4 ÷ 8 + 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 10 ÷ 2 + 7?

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