Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 775 · 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 17 − 8 + 4 × 18?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 3 ÷ 4 + 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 8 + 11 ÷ 16?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 7 ÷ 15?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 4 × 16 ÷ 8?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 16 × 2 − 11?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 4 × 4 ÷ 17?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 8 ÷ 3 × 20?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 2 ÷ 17 − 12?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 16 − 6 + 19?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 12 − 12 ÷ 12?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 17 + 17 × 6?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 12 − 3 ÷ 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 13 + 8 − 10?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 4 − 10 ÷ 8?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 14 + 7?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 10 × 2 + 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 8 − 15 × 11?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 7 + 13?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 ÷ 16 − 6?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 17 × 5 ÷ 3?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 17 ÷ 3 × 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 4 ÷ 2 × 10?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 × 18 ÷ 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 13 × 15 ÷ 2?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 ÷ 13 − 17?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 − 17 ÷ 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 14 × 2 + 6?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 16 − 19 ÷ 6?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 4 × 13 + 4?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 ÷ 8 × 18?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 18 − 14 × 20?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 4 × 10 − 10?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 18 + 16 × 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 12 × 2 ÷ 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 − 19 ÷ 9?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 6 × 3 − 4?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 16 × 20 ÷ 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 9 + 16 ÷ 7?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 3 ÷ 6 × 7?

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