Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 400 · 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 13 − 3 + 6 ÷ 4?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 5 ÷ 8 + 20?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 18 + 17 − 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 ÷ 17 + 17?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 − 2 ÷ 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 13 × 7 − 7?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 14 − 15 × 7?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 18 ÷ 14 − 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 19 − 6 ÷ 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 3 − 15 ÷ 19?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 ÷ 18 − 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 2 − 11 ÷ 20?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 14 + 2 − 4?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 14 + 7 ÷ 19?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 19 + 19 − 14 ÷ 13?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 15 − 6 × 8?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 17 ÷ 18 + 2?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 5 × 7 + 10?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 13 ÷ 18 + 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 4 ÷ 9 × 14?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 4 × 4 − 6?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 12 − 15 × 2?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 16 − 12 + 9?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 10 × 5 ÷ 16?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 5 + 11 × 19?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 ÷ 8 × 16?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 8 − 4 ÷ 5?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 4 × 5 ÷ 18?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 8 × 18 + 15?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 9 × 2 ÷ 6?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 × 14 ÷ 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 17 ÷ 3 − 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 6 + 20 − 15?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 ÷ 4 + 2?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 7 + 7 × 7?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 5 ÷ 11 × 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 − 16 × 5?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 3 × 5 − 19?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 11 × 11 + 7?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 2 − 9 ÷ 12?

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