Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 531 · 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 20 − 6 ÷ 14 + 7?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 9 × 11 ÷ 18?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 14 − 14 + 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 8 + 18 − 9?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 9 × 2 − 12?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 6 − 3 × 3?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 8 − 15 × 6?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 16 ÷ 20 + 14?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 − 11 + 7?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 18 ÷ 4 − 12?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 × 13 ÷ 13?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 12 × 3 + 18?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 17 × 5 − 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 5 + 4 × 17?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 14 × 9 − 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 4 ÷ 15 − 5?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 2 + 3 − 19?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 4 ÷ 19 + 7?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 − 9 ÷ 20?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 6 + 6 − 9?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 13 × 3 + 10?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 20 + 16 ÷ 14?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 15 × 9 ÷ 15?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 14 + 14 ÷ 11?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 17 × 2 ÷ 14?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 13 ÷ 14 × 4?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 × 11 + 9?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 8 − 8 + 17?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 ÷ 2 + 16?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 5 × 8 ÷ 16?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 ÷ 20 + 16?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 15 − 10 + 9?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 12 − 9 ÷ 3?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 10 ÷ 3 × 11?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 3 ÷ 14 + 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 5 ÷ 5 × 5?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 11 + 5 ÷ 15?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 × 5 − 5?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 13 × 14 ÷ 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 17 × 17 − 18?

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