Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 231 · 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 9 ÷ 8 + 14 × 14?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 + 6 ÷ 13?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 2 × 3 ÷ 14?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 × 15 ÷ 15?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 10 ÷ 16 − 11?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 19 + 18 ÷ 7?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 4 + 18 ÷ 18?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 14 × 18 − 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 2 × 18 ÷ 15?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 × 16 − 20?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 10 × 10 − 2?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 2 + 9 ÷ 9?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 12 × 7?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 14 ÷ 9 − 13?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 − 19 + 17?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 12 × 8 ÷ 10?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 18 × 18 − 11?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 6 − 16 ÷ 6?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 × 14 ÷ 9?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 13 + 11 − 11?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 19 × 3 ÷ 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 5 ÷ 12 + 5?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 × 4 + 5?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 20 × 12 − 3?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 13 − 20 ÷ 11?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 6 + 4 × 9?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 5 + 15 × 17?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 ÷ 19 × 18?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 14 + 20 × 6?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 − 3 + 13?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 2 ÷ 12 + 12?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 6 + 3 ÷ 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 11 × 11 ÷ 19?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 2 × 8 + 3?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 + 7 × 20?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 15 ÷ 7 − 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 12 × 7 ÷ 5?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 17 − 18 × 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 4 ÷ 5 − 19?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 14 × 7 ÷ 19?

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