Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 626 · 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 2 − 20 ÷ 17 × 17?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 18 ÷ 12 − 3?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 ÷ 11 + 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 15 + 8 × 16?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 5 − 5 + 11?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 18 + 16 × 18?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 14 + 19 − 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 ÷ 4 × 13?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 19 ÷ 9 × 10?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 ÷ 8 × 8?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 19 ÷ 16 × 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 16 ÷ 9 × 12?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 3 × 12 ÷ 8?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 7 × 8 ÷ 18?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 × 9 + 16 − 9?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 17 × 3 ÷ 20?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 ÷ 13 − 8?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 2 ÷ 17 × 8?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 5 ÷ 14 × 11?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 9 − 13 ÷ 18?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 9 + 2 × 11?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 2 + 9 × 3?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 8 + 7 ÷ 15?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 4 ÷ 2 × 15?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 10 ÷ 9 × 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 × 6 − 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 8 ÷ 3 − 15?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 10 + 6 × 10?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 6 ÷ 17 + 17?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 × 2 ÷ 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 2 − 2 ÷ 4?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 12 + 3 ÷ 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 5 + 9 × 9?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 15 ÷ 10 + 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 16 − 4 × 19?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 2 × 2 ÷ 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 × 9 + 19 ÷ 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 2 × 2 + 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 10 ÷ 19 − 19?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 5 ÷ 15 − 10?

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