Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 683 · 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 10 ÷ 13 + 2 − 10?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 16 × 10 ÷ 18?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 7 × 15 + 5?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 20 × 8 ÷ 7?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 16 ÷ 6 + 13?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 16 ÷ 4 + 13?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 6 − 17 + 17?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 4 − 2 ÷ 6?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 15 − 10 ÷ 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 18 + 3 − 8?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 8 − 12 ÷ 7?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 19 − 11 ÷ 19?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 5 × 3 ÷ 3?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 10 + 15 − 7?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 20 ÷ 17 + 6?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 10 + 3 − 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 18 − 18 + 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 16 − 4 + 16?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 5 + 5 ÷ 18?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 16 ÷ 10 × 16?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 13 ÷ 15 − 7?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 4 − 10 × 5?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 12 − 6 × 16?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 3 + 3 × 11?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 ÷ 14 × 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 2 ÷ 6 + 5?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 20 − 10 ÷ 19?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 3 + 16 × 7?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 15 × 3 + 20?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 19 ÷ 20 + 20?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 ÷ 8 + 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 19 + 19 × 4 − 20?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 12 ÷ 14 − 14?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 11 ÷ 19 × 19?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 + 18 ÷ 16?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 × 11 + 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 7 − 9 × 7?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 18 ÷ 14 − 15?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 17 + 10 × 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 3 ÷ 9 − 3?

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