Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 342 · 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 4 ÷ 3 + 7 − 12?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 9 + 7 − 7?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 17 ÷ 20 + 3?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 5 + 5 × 6 ÷ 7?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 11 ÷ 11 × 8?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 − 12 × 20?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 × 11 ÷ 9?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 + 15 ÷ 18?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 18 ÷ 10 + 10?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 − 16 + 20?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 ÷ 11 − 12?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 12 − 12 ÷ 11?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 17 − 10 × 11?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 7 + 5 − 17?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 ÷ 16 × 12?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 3 + 3 × 2 ÷ 15?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 5 ÷ 3 × 5?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 9 ÷ 12 × 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 4 − 2 ÷ 15?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 11 × 20 + 4?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 2 − 6 + 3?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 × 19 − 15 + 4?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 15 + 2 − 3?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 14 × 2 − 2?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 4 ÷ 20 × 4?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 6 + 2 − 15?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 6 + 3 − 11?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 + 18 × 13?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 13 − 5?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 8 ÷ 19 × 9?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 2 × 2 ÷ 6?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 4 − 4 × 9?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 5 − 8 + 4?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 14 − 14 + 12?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 6 × 2 ÷ 3?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 10 + 16 ÷ 19?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 10 + 18 − 20?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 16 × 8 + 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 15 + 2 − 8?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 15 × 5 ÷ 5?

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