Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 538 · 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 + 13 ÷ 20 − 4?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 ÷ 2 × 5?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 16 − 9 + 6?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 8 − 20 + 5?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 3 ÷ 20 − 9?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 × 17 ÷ 10?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 7 + 20 − 19?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 4 × 13 ÷ 10?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 ÷ 19 × 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 12 + 6 − 8?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 ÷ 9 × 10?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 17 ÷ 2 × 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 − 6 + 6?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 18 − 20 ÷ 6?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 13 − 19 × 5?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 2 − 6 ÷ 12?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 11 + 3 − 16?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 7 − 18 + 15?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 20 − 9 × 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 × 16 ÷ 12?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 7 ÷ 8 + 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 8 + 8 ÷ 7?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 15 × 8 − 4?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 15 ÷ 11 − 17?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 × 2 − 12?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 + 19 ÷ 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 19 × 14 − 19?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 14 − 7 × 6?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 5 × 14 − 2?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 13 + 4 × 2?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 9 − 12 ÷ 9?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 10 − 5 ÷ 11?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 6 − 6 ÷ 12?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 − 4 × 19?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 6 + 10 ÷ 5?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 18 × 15 − 4?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 14 × 2 ÷ 18?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 2 ÷ 3 × 6?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 7 − 6 + 8?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 + 18 × 3?

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