Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 923 · 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 − 20 × 9?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 18 − 5 ÷ 18?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 6 + 2 × 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 16 × 16 − 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 17 + 18 × 19?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 17 ÷ 6 − 6?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 17 + 9 ÷ 13?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 4 ÷ 3 − 17?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 × 9 − 9?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 20 − 4 + 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 14 + 7 − 17?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 10 ÷ 14 × 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 13 + 13 − 7 × 5?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 19 − 3 + 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 3 + 16 × 3?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 20 − 5 ÷ 13?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 2 ÷ 8 × 14?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 20 − 5 + 4?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 13 × 13 ÷ 2?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 × 6 ÷ 3?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 4 + 2 ÷ 12?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 13 ÷ 18 − 4?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 16 × 6 + 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 9 × 13 ÷ 20?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 12 − 6 ÷ 11?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 11 × 4 + 16?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 ÷ 11 − 20?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 10 ÷ 18 − 18?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 15 + 10 × 7?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 17 − 17 + 7?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 7 ÷ 2 × 2?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 12 × 5 ÷ 7?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 6 ÷ 10 + 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 5 ÷ 13 + 18?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 15 − 14 ÷ 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 19 × 19?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 − 20 ÷ 7?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 5 − 5?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 3 ÷ 14 − 10?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 4 × 15 + 9?

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