Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 873 · 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 16 − 8 + 20 ÷ 5?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 6 × 2 − 11?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 13 ÷ 9 + 7?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 6 × 2 ÷ 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 6 ÷ 3 − 17?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 7 + 13 ÷ 4?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 17 + 11 − 6?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 ÷ 6 × 19?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 19 ÷ 8 × 14?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 12 × 4 − 8?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 17 − 2 + 15?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 4 + 6 × 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 11 + 16 ÷ 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 17 × 4 + 15?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 13 + 12 ÷ 2?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 − 16 × 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 7 − 16 + 3?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 12 − 19 ÷ 5?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 2 + 12?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 3 ÷ 8 − 6?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 × 5 + 19?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 15 + 18 × 9?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 20 + 5 ÷ 12?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 19 − 19 + 6 ÷ 10?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 8 + 2 ÷ 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 16 − 2 × 7?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 13 ÷ 2 + 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 × 6 ÷ 3?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 4 + 4 ÷ 3?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 10 × 11 + 11?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 2 ÷ 5 − 14?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 6 − 3 × 9?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 13 − 19 ÷ 17?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 20 ÷ 8 + 10?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 11 − 11 × 11 ÷ 14?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 12 − 13 + 13?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 19 − 17 + 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 × 12 ÷ 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 6 ÷ 4 − 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 18 − 18 + 14?

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