Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 645 · 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 10 − 12 + 10 × 8?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 13 − 15 + 2?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 11 + 12 − 2?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 12 − 11 × 13?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 8 − 18 × 16?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 2 − 3 × 6?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 11 ÷ 7 − 11?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 3 ÷ 16 + 8?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 20 × 15 − 18?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 4 ÷ 6 + 13?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 10 ÷ 5 − 10?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 4 ÷ 3 − 3?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 11 ÷ 15 − 3?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 + 3 ÷ 19?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 15 ÷ 17 + 7?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 10 + 10 × 12?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 5 + 5 × 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 × 19 + 6 ÷ 12?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 14 ÷ 9 × 11?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 9 × 8 ÷ 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 14 × 2 − 19?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 12 − 19 + 13?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 10 ÷ 9 × 17?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 15 − 14 ÷ 5?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 13 + 13 ÷ 8?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 17 + 18 × 18?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 + 4 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 13 × 18 − 2?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 6 ÷ 15 × 15?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 15 ÷ 20 × 6?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 5 − 12 × 11?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 6 − 11 + 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 6 ÷ 18 × 12?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 16 ÷ 9 + 9?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 4 ÷ 17 + 6?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 12 ÷ 3 + 4?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 19 − 17 ÷ 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 ÷ 14 − 16?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 ÷ 2 × 18?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 6 ÷ 10 × 10?

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