Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 722 · 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 − 3 + 5 ÷ 13?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 3 × 17 − 14?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 18 + 18 × 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 2 + 3 × 5?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 19 × 13?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 − 12 × 9?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 8 + 10 ÷ 12?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 15 ÷ 4 × 4?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 5 ÷ 6 × 16?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 2 ÷ 10 × 2?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 + 2 ÷ 20?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 9 × 8 + 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 6 × 6 − 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 ÷ 10 + 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 7 ÷ 10 + 20?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 18 − 5 ÷ 6?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 + 14 ÷ 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 + 8 × 11?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 16 − 12 ÷ 3?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 20 + 6 ÷ 16?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 ÷ 19 + 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 10 + 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 × 7 ÷ 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 7 − 3 + 19?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 17 + 14 − 19?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 5 ÷ 6 + 12?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 10 ÷ 8 − 8?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 19 − 2 ÷ 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 9 + 6 − 9?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 16 ÷ 5 × 15?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 9 + 20 − 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 8 − 17 + 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 − 5 × 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 12 ÷ 4 × 12?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 7 ÷ 7 × 14?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 20 × 2 ÷ 17?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 15 − 3 + 3 × 5?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 3 + 3 ÷ 4?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 4 − 11 ÷ 19?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 3 + 7 × 13?

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