Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 605 · 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 6 − 16 + 10 × 5?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 ÷ 15 + 12?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 7 + 2 ÷ 16?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 17 × 17 − 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 13 × 12 − 4?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 6 + 4 × 7?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 14 ÷ 7 + 7?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 18 ÷ 17 × 17?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 6 ÷ 8 × 4?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 14 + 16 × 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 × 6 ÷ 7?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 4 + 4 × 13?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 10 + 7 × 17?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 6 × 14 ÷ 13?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 16 × 3 + 19?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 12 ÷ 10 × 14?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 10 + 2 − 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 18 × 10 − 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 19 + 10 × 17?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 4 + 18 ÷ 14?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 18 ÷ 14 + 15?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 16 + 4 × 6?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 16 − 6 ÷ 16?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 17 + 20 ÷ 6?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 16 × 8 − 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 + 12 × 15?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 × 13 ÷ 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 9 − 19 ÷ 12?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 9 + 3 × 7?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 16 ÷ 5 × 19?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 ÷ 10 − 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 5 ÷ 14 + 10?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 7 ÷ 20 + 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 16 + 16 ÷ 20?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 11 + 20 × 5?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 20 − 16 × 4?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 8 + 2 × 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 20 − 6 × 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 9 × 20 ÷ 9?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 9 × 17 ÷ 16?

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