Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 330 · 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 10 + 16 ÷ 11 × 16?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 ÷ 9 + 5?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 5 − 10 ÷ 2?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 ÷ 6 + 12?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 12 − 12 × 19?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 6 ÷ 8 + 9?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 13 ÷ 3 × 11?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 + 13 ÷ 4?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 6 ÷ 18 + 5?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 15 + 3 × 4?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 2 + 4 − 7?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 3 × 4 − 15?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 13 − 13 + 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 4 + 20 ÷ 6?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 4 + 3 − 6?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 3 − 3 × 15?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 2 + 20 × 5?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 4 − 2 × 4?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 19 × 4 + 12?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 13 × 19 + 4?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 12 × 4 ÷ 16 − 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 2 ÷ 6 − 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 6 − 15 × 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 13 + 11 ÷ 10?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 14 × 16 ÷ 11?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 10 + 8 ÷ 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 9 ÷ 3 + 4?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 + 14 × 9?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 3 × 18 ÷ 11?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 14 − 9 × 14?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 2 − 6 + 3?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 9 ÷ 10 + 19?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 16 − 3 ÷ 13?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 20 ÷ 17 × 14?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 11 − 4 ÷ 12?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 17 + 8 ÷ 5?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 15 − 3 ÷ 6?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 7 ÷ 4 × 14?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 × 12 ÷ 6?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 2 × 16 ÷ 5?

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