Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 956 · 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 20 ÷ 18 + 10 − 5?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 10 ÷ 7 − 10?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 12 − 6 ÷ 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 6 − 18 + 18?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 5 + 10 − 16?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 3 ÷ 5 × 11?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 17 ÷ 10 × 12?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 − 9 ÷ 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 12 ÷ 17 − 13?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 17 + 13 × 19?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 8 × 20 − 5?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 14 ÷ 20 − 19?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 6 + 2 ÷ 9?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 4 + 2 ÷ 10?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 15 ÷ 19 − 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 7 + 17 − 7?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 × 17 ÷ 11?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 11 − 20 × 5?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 17 − 15 ÷ 6?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 14 × 4 ÷ 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 4 × 12 + 13?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 7 × 17 − 2?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 11 × 11 ÷ 11?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 9 × 6 − 3?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 2 − 15 × 3?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 12 × 5 − 3?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 2 ÷ 2 + 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 13 + 11 ÷ 8?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 + 16 − 15?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 12 + 13 × 19?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 11 + 3 × 20?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 18 − 19 ÷ 6?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 10 ÷ 19 + 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 9 × 14 ÷ 7?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 6 × 6 + 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 5 + 16?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 11 − 4 + 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 20 × 2 + 8?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 3 ÷ 4 − 14?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 9 − 18 + 3?

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