Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 390 · 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 ÷ 11 + 15 × 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 8 ÷ 6 − 3?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 14 × 5 ÷ 16?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 − 3 × 18?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 3 − 6 + 18?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 11 ÷ 3 × 9?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 12 + 19 × 19?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 2 + 20 ÷ 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 11 ÷ 12 − 10?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 2 ÷ 11 × 13?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 4 − 17 ÷ 11?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 3 ÷ 5 × 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 10 × 20 + 15?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 18 × 3 + 5?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 2 + 18 × 20?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 2 ÷ 4 + 10?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 14 − 2 ÷ 3?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 12 ÷ 19 − 9?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 13 − 17 + 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 20 − 20 × 2?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 20 × 10 + 15?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 18 × 18 ÷ 13?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 + 16 × 16?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 4 + 12 ÷ 7?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 8 ÷ 6 − 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 18 × 13 ÷ 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 9 ÷ 3 − 4?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 2 × 4 + 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 × 9 − 18?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 12 − 8 ÷ 6?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 × 11 − 11?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 ÷ 16 − 8?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 2 ÷ 2 − 20?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 17 ÷ 5 × 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 × 6 + 6?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 20 × 10 + 5?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 6 × 12 + 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 5 − 8 × 20?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 15 ÷ 16 + 12?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 4 + 2 − 2?

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