Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 721 · 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 17 + 12 ÷ 3 × 7?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 9 ÷ 2 + 5?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 3 × 15 ÷ 9?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 9 × 13 ÷ 9?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 4 + 5 − 4?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 12 + 4 × 4?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 10 ÷ 4 + 15?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 ÷ 2 − 6?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 2 × 15 − 11?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 11 × 11 − 8?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 8 ÷ 13 + 9?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 × 5 + 8 ÷ 8?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 ÷ 8 + 20?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 4 − 8 + 8?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 + 5 × 18?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 8 − 6 + 9?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 5 − 3 ÷ 12?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 2 ÷ 16 + 2?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 13 × 7 − 7?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 7 ÷ 8 − 4?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 19 − 8 + 16?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 6 − 3 × 3?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 − 20 ÷ 12?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 8 − 4 ÷ 12?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 + 2 ÷ 20 × 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 6 + 3 − 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 6 × 6 − 19?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 19 × 14 ÷ 7?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 15 ÷ 13 × 8?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 2 ÷ 17 + 8?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 − 2 ÷ 17?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 5 − 10 × 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 9 − 3 ÷ 5?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 11 − 14 ÷ 10?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 19 × 11 ÷ 7?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 15 ÷ 10 − 5?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 10 ÷ 14 × 6?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 7 ÷ 15 + 3?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 + 18 − 19?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 6 + 2 × 15?

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