Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 568 · 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 × 3 − 3 ÷ 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 5 − 2 + 16?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 20 − 8 + 8?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 5 × 14 − 14?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 18 × 18 − 3?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 ÷ 11 − 6?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 4 + 2 × 5?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 20 + 17 × 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 2 − 20 × 18?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 13 × 7 ÷ 12?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 2 − 15 + 6?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 5 − 16 + 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 − 6 × 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 10 ÷ 8 × 4?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 20 − 4 + 7?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 4 ÷ 3 − 20?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 − 10 ÷ 7?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 18 ÷ 3 − 18?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 16 ÷ 18 × 7?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 4 ÷ 20 − 8?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 13 − 2 × 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 4 + 11 ÷ 20?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 10 × 12 − 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 18 × 7 − 19?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 20 ÷ 2 + 6?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 8 ÷ 10 × 17?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 5 ÷ 14?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 16 + 12 ÷ 15?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 6 + 7 × 5?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 × 19 + 12 ÷ 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 2 + 14 ÷ 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 5 + 8 × 8?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 8 × 4 ÷ 18?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 12 − 20 ÷ 5?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 18 × 17 ÷ 9?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 ÷ 12 × 13?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 10 ÷ 4 − 15?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 20 − 5 × 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 14 ÷ 9 − 11?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 20 − 2 + 9?

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