Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 289 · 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 9 + 5 × 10 ÷ 2?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 5 + 19 × 17?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 5 × 5 + 3?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 3 + 2 − 17?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 8 × 8 − 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 19 × 7 + 17?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 6 × 15 + 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 14 − 16 × 14?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 5 − 2 ÷ 3?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 ÷ 5 + 10?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 8 + 2 − 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 11 ÷ 7 × 8?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 15 − 14 × 19?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 3 − 3 × 11?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 15 × 4 ÷ 5?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 9 + 7 × 9?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 11 − 14 + 5?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 15 ÷ 20 + 17?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 8 + 6 ÷ 7?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 8 − 6 + 18?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 8 × 13 + 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 19 + 7 × 18?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 6 + 6 − 4?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 17 ÷ 6 + 3?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 18 ÷ 15 × 19?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 + 14 × 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 9 ÷ 8 × 6?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 4 − 4 ÷ 14?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 6 × 10 + 7?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 − 6 × 5?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 − 20 × 6?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 11 × 13 ÷ 12?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 18 ÷ 6 × 10?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 8 ÷ 16 × 12?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 13 + 5 ÷ 3?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 14 ÷ 5 − 13?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 4 ÷ 18 + 14?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 13 − 12 ÷ 20?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 11 ÷ 13 + 13?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 20 − 17 ÷ 18?

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