Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 211 · 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 × 17 ÷ 2 + 11?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 17 × 18 ÷ 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 12 × 16 ÷ 13?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 4 − 5 + 10?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 3 × 3 − 15?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 7 × 2 ÷ 8?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 8 ÷ 7 − 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 14 ÷ 18 − 4?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 3 × 4 ÷ 3?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 15 × 9 ÷ 7?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 8 ÷ 4 × 5?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 13 − 15 × 5?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 12 + 13 ÷ 3?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 − 6 ÷ 9?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 4 × 13 + 15?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 17 − 8 × 9?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 − 3 ÷ 15?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 + 16 ÷ 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 12 × 12 ÷ 11?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 + 15 ÷ 14?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 4 − 8 ÷ 14?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 8 ÷ 17 − 16?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 16 + 8 ÷ 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 15 − 15 + 12?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 4 × 9 − 18?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 9 ÷ 5 + 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 5 ÷ 16 − 16?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 13 − 15 ÷ 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 − 3 × 6?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 20 − 19 × 2?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 15 × 15 − 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 × 20 − 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 15 ÷ 18?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 − 16 ÷ 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 + 11 − 9?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 18 ÷ 3 + 18?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 9 ÷ 12 + 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 4 ÷ 16 × 7?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 2 × 16 ÷ 6?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 7 + 16 × 13?

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