Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 884 · 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 7 − 2 ÷ 7 + 5?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 9 − 9 ÷ 7?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 9 − 3 + 13?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 11 ÷ 5 × 10?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 16 − 20 ÷ 9?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 2 + 18 ÷ 11?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 16 ÷ 6 − 2?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 18 + 6 ÷ 17?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 15 − 10 + 6?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 20 − 20 × 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 3 ÷ 19 × 7?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 8 + 11 ÷ 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 − 2 ÷ 17?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 13 ÷ 14 + 9?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 10 × 14 + 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 4 × 6?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 2 − 5 ÷ 20?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 3 − 12?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 19 − 4 + 5?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 14 × 2 − 14?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 20 ÷ 10 × 20?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 + 8 ÷ 2?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 3 × 6 ÷ 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 12 ÷ 4 − 18?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 19 ÷ 20 × 14?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 5 ÷ 6 − 13?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 + 9 × 3?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 13 − 8 ÷ 17?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 13 × 20 − 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 11 − 4 + 4?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 3 × 8 − 7?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 7 + 14 × 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 20 × 17 − 8?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 7 + 2 ÷ 19?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 7 ÷ 9 + 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 17 × 13 + 8?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 ÷ 2 × 17?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 14 − 14 × 8?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 2 + 5 ÷ 6?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 10 ÷ 12 − 4?

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