Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 973 · 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 ÷ 5 − 5 × 15?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 13 + 17 ÷ 5?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 3 ÷ 12 + 9?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 × 3 ÷ 8?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 20 + 2 − 8?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 20 + 12 × 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 10 + 5 × 11?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 11 × 11?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 4 × 4 ÷ 4?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 11 + 10 ÷ 9?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 ÷ 17 + 4?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 6 − 12 × 6?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 13 × 14 − 19?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 4 − 15 ÷ 15?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 16 × 12 ÷ 19?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 20 − 12 + 17?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 4 − 7 × 20?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 × 11 ÷ 18?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 18 − 19 + 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 12 ÷ 18 + 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 20 + 15 − 15?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 19 ÷ 4 + 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 14 × 2 + 2?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 15 − 15 ÷ 6?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 7 ÷ 6 × 7?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 2 ÷ 5 + 3?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 16 × 17 − 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 20 − 4 × 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 17 + 18?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 4 ÷ 14 × 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 12 ÷ 19 + 9?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 8 ÷ 19 × 19?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 11 − 11 + 11 ÷ 10?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 8 × 20 ÷ 20?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 4 − 8 × 8?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 3 × 4 ÷ 4?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 − 12 + 15?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 3 − 3 × 13?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 5 ÷ 8 × 9?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 10 + 15 − 2?

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