Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 755 · 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 18 − 2 + 18 × 11?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 3 + 19 × 3?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 14 + 3 − 2?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 17 + 18 − 18?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 16 + 13 ÷ 17?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 2 × 18 ÷ 20?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 3 ÷ 20 + 18?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 6 − 16 × 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 6 × 11 − 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 20 − 19 ÷ 11?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 4 − 15 + 5?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 2 ÷ 6 × 17?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 10 − 3 × 15?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 4 + 4 ÷ 4?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 4 ÷ 10 − 10?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 16 × 8 + 6?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 ÷ 20 + 19?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 19 − 19 × 16 + 13?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 14 × 18 + 3?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 + 15 × 9?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 2 ÷ 17 × 20?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 6 − 4 × 9?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 2 + 4 − 12?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 18 − 5 + 5?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 15 − 12 + 5?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 3 ÷ 14 − 7?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 8 + 6 − 2?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 6 × 20 + 17?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 ÷ 14 − 4?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 15 × 6 − 3?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 15 × 14 ÷ 15?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 20 × 16 + 7?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 − 13 ÷ 11 × 5?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 12 + 6 ÷ 4?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 6 + 16 × 10?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 17 + 19 − 2?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 14 ÷ 3 + 12?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 4 − 6 × 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 4 + 14 × 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 20 × 20 + 12?

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