Symbol Substitution Worksheet

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

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