Symbol Substitution Worksheet

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

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