Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 530 · 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 × 3 − 5 ÷ 14?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 15 + 14 × 18?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 16 ÷ 17 × 20?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 6 × 12 + 17?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 20 − 7 × 6?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 − 12 × 19?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 18 − 4 × 8?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 16 + 19 × 5?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 14 ÷ 12 − 7?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 20 − 4 × 13?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 ÷ 13 + 2?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 6 ÷ 14 + 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 15 + 19 × 14?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 8 + 3 − 5?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 17 − 17 × 10?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 19 × 19 + 11?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 19 − 7 × 5?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 6 + 2 − 12?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 7 − 19 ÷ 12?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 8 ÷ 7 − 4?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 4 + 13 ÷ 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 15 ÷ 20 × 7?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 13 × 11 ÷ 20?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 × 14 ÷ 3?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 15 × 2 − 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 8 ÷ 10?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 8 × 12 + 4?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 + 8 − 2 ÷ 9?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 4 − 4 × 4?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 11 × 10 + 10?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 14 − 19 + 19?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 4 × 4 − 18?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 8 − 3 ÷ 19?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 19 + 10 − 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 13 − 12 + 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 + 10 × 7?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 19 ÷ 18 × 9?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 − 16 + 11?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 3 ÷ 7 × 8?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 10 − 2 ÷ 10?

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