Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 571 · 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 5 − 10 ÷ 17 + 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 5 + 16 − 20?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 10 − 4 + 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 ÷ 8 + 19?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 14 − 12 ÷ 17?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 4 − 20 × 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 − 8 ÷ 15?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 ÷ 17 × 2?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 ÷ 9 × 6?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 4 ÷ 16 × 8?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 19 × 16 ÷ 15?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 − 14 × 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 + 9 ÷ 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 9 ÷ 8 + 18?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 16 × 18 − 20?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 4 + 10 × 5?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 10 ÷ 4 − 3?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 + 11 ÷ 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 12 + 7 ÷ 5?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 10 ÷ 19 − 9?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 ÷ 4 − 20?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 13 − 4 × 2?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 15 − 15 + 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 + 18 ÷ 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 20 × 8 ÷ 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 × 9 + 3?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 − 2 × 7?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 20 + 4 − 8?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 × 19 − 5?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 3 × 14 ÷ 18?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 2 × 20 ÷ 4?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 2 − 2 ÷ 6?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 8 + 13 × 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 14 − 16 × 12?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 − 4 × 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 7 ÷ 9 + 19?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 3 + 4 × 13?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 4 ÷ 5 + 16?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 14 × 17 − 3?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 4 × 9 + 9?

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