Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 898 · 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 × 20 − 9 ÷ 4?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 18 + 14 ÷ 8?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 5 × 18 + 3?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 2 × 14 − 10?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 5 × 20 − 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 13 ÷ 4 + 6?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 6 ÷ 17 + 16?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 20 ÷ 20 + 13?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 19 − 4 + 3?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 7 × 5 ÷ 20?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 18 ÷ 5 − 16?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 13 − 14 × 2?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 16 ÷ 17 + 16?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 9 × 14 − 13?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 7 ÷ 16 − 2?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 14 − 11 ÷ 4?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 ÷ 15 × 3?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 6 − 7 + 15?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 19 ÷ 7 + 10?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 5 × 2 + 9?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 9 − 13 ÷ 11?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 6 + 5 ÷ 7?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 − 7 ÷ 19?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 6 ÷ 4 × 17?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 4 × 4 ÷ 10 + 20?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 7 + 10 × 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 18 − 2 ÷ 19?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 2 − 11 + 5?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 + 4 × 17?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 − 12 ÷ 4?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 − 15 ÷ 17?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 4 − 12 + 10?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 15 − 14 ÷ 14?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 10 − 4 × 4?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 15 × 4 ÷ 18?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 14 ÷ 3 + 13?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 12 × 18 − 6?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 15 × 20 − 15?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 6 ÷ 15 × 6?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 16 − 19 × 18?

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