Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 206 · 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 17 × 11 + 3 ÷ 19?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 × 3 − 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 ÷ 3 × 15?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 6 − 12 + 14?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 5 ÷ 20 + 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 4 − 11 ÷ 8?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 − 12 ÷ 14?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 4 − 15 ÷ 9?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 14 × 7 ÷ 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 12 ÷ 20 + 4?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 14 − 15 ÷ 8?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 20 − 4 × 20?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 16 × 15 + 13?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 4 ÷ 16 − 18?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 5 × 14 ÷ 15?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 × 12 ÷ 14?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 6 × 2 ÷ 2?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 × 12 ÷ 17?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 11 + 18 × 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 17 + 10?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 11 + 3 ÷ 11?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 14 ÷ 9 + 17?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 7 ÷ 6 + 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 9 + 18 − 7?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 12 ÷ 3 + 16?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 ÷ 19 × 5?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 13 ÷ 15 − 3?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 9 + 3 × 16 − 18?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 18 × 9 − 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 × 19 − 14 + 7?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 15 − 8 + 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 6 ÷ 4 − 3?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 − 17 ÷ 8?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 10 ÷ 18 × 10?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 13 ÷ 5 + 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 2 + 10 ÷ 9?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 2 − 19 ÷ 20?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 − 15 ÷ 13?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 2 + 16 × 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 19 × 5 − 12?

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