Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 357 · 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 2 ÷ 12 × 12 − 19?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 11 + 7 ÷ 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 5 − 10 + 6?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 12 × 3 ÷ 11?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 − 16 ÷ 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 14 × 15 ÷ 20?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 2 × 15 ÷ 20?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 10 ÷ 13 × 4?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 2 − 14 ÷ 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 18 − 10 + 19?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 12 + 14 × 20?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 7 + 11 ÷ 13?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 3 ÷ 8 − 6?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 16 + 16 ÷ 4?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 11 × 4 − 8?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 3 − 16 + 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 5 − 19 + 6?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 6 + 2 − 10?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 11 − 3 + 18?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 4 × 19 ÷ 13?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 3 − 14 + 17?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 ÷ 3 × 3?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 14 ÷ 3 + 6?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 5 ÷ 6 × 9?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 11 × 6 − 18?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 14 × 18 ÷ 11?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 10 ÷ 18 + 18?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 9 − 20 ÷ 6?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 13 × 13 − 11?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 5 ÷ 16 × 5?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 2 + 16 ÷ 6?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 7 + 7 ÷ 5?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 9 − 9 ÷ 7?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 6 ÷ 15 + 10?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 13 ÷ 9 × 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 9 − 9 × 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 3 ÷ 2 − 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 7 × 11 − 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 11 + 6 − 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 6 ÷ 18 − 4?

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