Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 72 · 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 15 − 8 + 5 ÷ 4?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 9 + 6 × 2?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 11 ÷ 3 − 2?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 4 + 20 ÷ 8?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 5 − 20 ÷ 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 + 12 ÷ 10?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 16 × 8 ÷ 17?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 20 − 8 + 5?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 6 ÷ 5 × 4?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 12 × 4 − 12?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 19 ÷ 12 − 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 × 14 − 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 3 ÷ 20 − 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 5 − 14 + 7?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 × 11 + 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 20 ÷ 6 × 19?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 2 − 6 × 6?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 11 + 9 × 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 16 + 13 × 9?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 14 − 12 × 12?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 14 + 10 × 18?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 5 × 3 + 3?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 3 ÷ 6 × 10?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 12 − 3 × 20?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 11 × 16 + 2?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 18 − 12 × 12?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 × 12 + 17?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 4 ÷ 4 + 9?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 2 + 12 × 10?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 5 × 20 − 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 14 − 2 ÷ 19?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 8 + 3 − 16?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 4 × 2 + 12?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 9 − 9 + 6?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 10 + 6 − 12?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 2 ÷ 19 − 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 14 + 10 × 7?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 18 ÷ 8 − 8?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 20 + 10 − 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 17 ÷ 2 × 20?

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