Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 326 · 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 2 × 20 ÷ 7 − 9?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 × 20 + 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 12 − 18 × 2?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 19 × 12 − 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 19 ÷ 10 × 2?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 × 17 ÷ 17?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 2 + 8 × 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 − 3 ÷ 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 8 ÷ 16 − 7?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 2 × 13 − 18?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 12 − 5 + 13?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 4 + 15 ÷ 2?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 + 7 ÷ 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 15 ÷ 5 + 15?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 9 + 5 − 2?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 3 × 5 ÷ 12?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 15 ÷ 6 × 11?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 18 + 9 ÷ 6?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 11 − 6 × 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 6 ÷ 9 − 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 2 − 2 × 10?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 16 × 18 + 18?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 6 − 3 + 6?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 7 − 12 ÷ 20?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 17 − 12 ÷ 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 8 × 8 + 6?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 × 19 ÷ 10?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 14 + 18 ÷ 9?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 + 7 ÷ 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 13 × 11 ÷ 17?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 11 ÷ 8 + 2?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 2 ÷ 11 − 20?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 13 ÷ 13 − 5?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 19 × 9?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 20 × 14 + 7?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 17 × 16 + 8?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 16 ÷ 14 + 10?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 × 8 − 2?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 7 × 13 − 17?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 − 16 ÷ 12?

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