Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 258 · 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 15 + 7 − 5 ÷ 6?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 2 − 6 × 9?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 8 × 5 ÷ 13?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 13 − 17 + 9?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 8 − 8 ÷ 4?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 2 × 9 ÷ 18?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 19 − 2 + 11?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 19 ÷ 12 × 3?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 2 ÷ 6 − 5?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 14 − 18 ÷ 20?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 10 × 6 + 13?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 ÷ 15 + 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 2 × 13 + 17?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 20 × 6 ÷ 2?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 19 × 5 − 3 + 3?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 × 5 ÷ 8?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 6 × 4 ÷ 6?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 × 8 + 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 12 − 12 + 4?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 6 − 19 + 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 12 + 4 × 15?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 ÷ 16 − 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 6 − 3 + 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 3 − 2 × 6?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 10 + 15 − 10?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 4 ÷ 8 − 8?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 10 × 20 + 2?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 18 + 18 ÷ 3?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 16 × 2 − 9?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 3 − 5 ÷ 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 2 + 20 × 10?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 10 + 8 × 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 18 × 6 ÷ 7?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 5 ÷ 16 + 16?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 11 ÷ 11 × 11?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 18 ÷ 18 × 9?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 8 − 10 × 10?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 20 × 4 ÷ 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 × 2 + 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 18 ÷ 2 − 11?

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