Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 743 · 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 12 − 13 + 5 ÷ 5?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 13 − 3 × 15?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 11 − 7 ÷ 8?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 2 + 16 ÷ 9?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 × 19 ÷ 17?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 14 − 7 × 14?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 7 − 3 × 13?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 2 + 2 × 2?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 10 − 4 × 7?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 20 ÷ 18 + 8?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 16 + 20 × 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 10 × 14 + 8?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 19 × 7 ÷ 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 2 + 17 × 12?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 12 × 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 10 + 5 ÷ 7?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 5 ÷ 18 × 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 17 × 2 − 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 × 15 ÷ 3?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 × 5 ÷ 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 − 5 × 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 18 − 14 + 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 2 × 16 ÷ 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 20 ÷ 7 − 6?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 12 + 5 × 6?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 7 ÷ 16 − 7?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 ÷ 5 × 10?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 17 − 7 + 17?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 16 + 13 − 8?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 6 ÷ 9 + 7?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 4 ÷ 20 × 20?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 19 × 18 ÷ 2?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 17 × 14 + 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 9 ÷ 5 + 15?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 ÷ 11 + 17?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 ÷ 2 − 20?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 ÷ 7 − 9?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 14 ÷ 19 × 15?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 18 × 4 + 14?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 18 ÷ 20 + 12?

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