Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 458 · 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 16 ÷ 11 × 6 + 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 16 ÷ 7 × 15?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 5 + 8 − 3?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 8 ÷ 17 − 17?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 8 × 5 + 2?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 16 + 2 ÷ 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 20 × 19 ÷ 17?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 9 × 13 ÷ 20?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 11 ÷ 20 × 20?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 3 ÷ 3 + 7?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 2 ÷ 9 − 11?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 3 + 16 − 10?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 3 − 20 + 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 12 − 12 + 12?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 9 × 16 ÷ 18?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 11 ÷ 6 − 7?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 6 ÷ 20 × 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 8 − 6 + 6?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 4 ÷ 2 − 2?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 6 × 8 + 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 4 ÷ 9 − 14?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 12 ÷ 2 × 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 17 + 8 ÷ 8?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 4 + 8 ÷ 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 9 × 6 + 16?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 11 ÷ 11 × 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 × 18 ÷ 17?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 5 × 3 − 12?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 20 × 10 ÷ 2?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 8 ÷ 18 + 6?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 7 − 12 ÷ 17?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 5 − 3 × 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 16 × 4 ÷ 15?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 5 ÷ 16 × 6?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 4 × 4 ÷ 12?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 7 − 14 + 11?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 17 × 8 + 5?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 13 ÷ 18 × 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 9 ÷ 2 + 19?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 19 ÷ 11 + 17?

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