Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 876 · 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 14 + 14 − 20 × 20?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 6 ÷ 5 + 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 14 × 7 ÷ 11?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 ÷ 5 − 10?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 7 × 7 ÷ 6?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 18 − 15 ÷ 8?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 16 + 3 − 6?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 2 − 15 ÷ 7?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 20 × 20 − 11?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 6 ÷ 15 − 18?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 6 ÷ 10 + 6?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 8 × 17 ÷ 4?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 14 ÷ 19 × 13?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 17 − 7 × 5?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 2 ÷ 4 × 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 18 + 12 − 15?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 5 − 14 × 14?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 6 − 7 ÷ 3?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 18 + 12 × 16?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 × 9 − 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 6 × 20 − 20?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 × 20 ÷ 2?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 2 × 10 + 8?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 12 ÷ 5 × 20?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 6 ÷ 7 + 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 12 − 15 + 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 7 ÷ 16 × 18?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 18 × 2 ÷ 19?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 × 16 ÷ 18?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 20 − 8 × 12?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 17 + 20 − 2?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 15 − 11 + 12?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 14 ÷ 4 × 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 4 + 17 − 7?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 2 − 17 ÷ 19?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 2 + 2 ÷ 20?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 4 − 13 × 9?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 10 ÷ 6 + 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 8 + 3 − 19?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 2 × 8 ÷ 4?

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