Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 162 · 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 3 − 17 ÷ 15 × 6?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 6 × 2 ÷ 4?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 10 ÷ 7 × 15?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 13 + 3 × 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 19 − 19 + 19?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 17 − 17 × 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 14 + 9 ÷ 7?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 ÷ 14 + 12?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 × 14 ÷ 9?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 9 ÷ 10 − 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 11 × 15 ÷ 12?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 5 − 18 × 4?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 5 − 5 ÷ 16 + 5?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 5 ÷ 11 × 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 5 × 2 ÷ 13?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 16 × 10 − 2?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 18 + 6 ÷ 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 11 − 17 + 7?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 13 + 2 × 4?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 14 ÷ 9 × 18?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 9 − 13 ÷ 7?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 3 × 2 ÷ 13?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 7 × 3 ÷ 20?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 11 ÷ 19 − 20?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 9 ÷ 4 − 8?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 6 − 8 + 14?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 − 8 + 10?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 ÷ 5 − 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 18 × 8 + 12?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 8 + 7 − 2?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 12 − 2 ÷ 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 2 + 5 ÷ 19?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 6 ÷ 13 × 13?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 8 + 17 ÷ 17?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 14 − 3 ÷ 17?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 14 × 13 + 5?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 6 + 5 ÷ 17?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 10 − 2 × 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 9 + 4 × 15?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 7 + 6 × 6?

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