Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 376 · 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 + 6 × 20 − 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 − 2 ÷ 17?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 7 − 20 ÷ 5?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 5 + 2 × 5?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 × 15 ÷ 3?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 × 2 + 10?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 12 − 3 + 12?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 11 − 19 + 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 14 ÷ 9 × 4?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 2 × 15 ÷ 5?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 + 11 ÷ 11?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 10 − 12 + 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 20 × 2 + 13?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 16 × 18 − 18?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 2 − 2 + 20 × 19?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 8 ÷ 3 − 18?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 3 ÷ 17 + 11?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 12 + 12 ÷ 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 8 + 2 × 4?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 19 ÷ 19 − 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 13 ÷ 20 × 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 6 + 16 ÷ 19?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 20 × 5 + 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 10 − 6 + 5?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 20 ÷ 17 × 10?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 14 ÷ 3 + 2?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 ÷ 4 + 10?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 13 ÷ 8 × 4?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 7 ÷ 2 + 2?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 12 ÷ 10 × 10?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 11 − 3 + 11?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 ÷ 2 × 11?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 6 + 20 − 3?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 15 + 4 ÷ 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 6 + 20 ÷ 14?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 8 × 16 ÷ 10?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 8 ÷ 2 − 17?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 4 × 8 ÷ 11?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 12 + 15 × 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 3 × 8 − 9?

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