Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 667 · 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 9 − 8 × 2 ÷ 10?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 18 + 16 ÷ 11?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 3 ÷ 7 − 11?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 4 × 14 + 3?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 18 ÷ 7 × 6?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 2 − 9 ÷ 18?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 5 ÷ 13 + 15?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 20 + 8 ÷ 6?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 14 + 16 × 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 10 ÷ 12 + 10?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 11 × 20 − 10?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 16 − 7 × 11?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 8 × 4 ÷ 18?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 13 × 20 − 3?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 11 ÷ 18 × 20?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 8 + 2 × 2?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 10 × 9 ÷ 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 20 − 2 × 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 12 + 12 × 2?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 16 + 13 ÷ 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 12 ÷ 7 + 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 15 − 13 + 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 3 ÷ 5 + 14?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 6 + 6 − 5?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 16 × 14 + 7?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 10 ÷ 6 × 16?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 10 ÷ 20 − 7?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 3 + 2 − 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 9 ÷ 17 × 12?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 14 + 18 × 18?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 2 − 5 × 8?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 3 × 7 − 7?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 3 × 3 + 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 19 − 5 + 16?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 19 × 11 ÷ 19?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 18 − 15 ÷ 19?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 2 − 2 ÷ 19?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 14 ÷ 2 + 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 ÷ 4 + 17?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 3 + 6 − 9?

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