Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 867 · 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 ÷ 3 × 19 + 18?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 ÷ 12 − 20?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 20 + 16 − 15?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 8 × 16 ÷ 2?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 8 ÷ 2 − 9?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 15 + 11 × 12?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 17 ÷ 15 + 15?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 16 × 3 ÷ 11?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 12 ÷ 19 + 19?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 18 ÷ 16 + 2?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 7 − 19 ÷ 6?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 14 ÷ 4 × 6?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 ÷ 20 + 5?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 10 − 10 × 18?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 16 × 4 ÷ 5?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 − 8 + 16?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 ÷ 4 + 2?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 15 ÷ 17 × 17?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 5 − 11 ÷ 9?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 2 ÷ 2 − 20?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 3 + 14 × 3?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 12 − 14 ÷ 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 18 ÷ 17 − 16?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 18 + 14 − 14?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 13 − 7 ÷ 14?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 7 × 2 ÷ 14?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 14 + 4 × 19?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 − 9 + 9?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 4 ÷ 8 × 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 14 + 11 ÷ 8?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 2 − 2 + 13?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 11 ÷ 5 − 17?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 9 − 15 + 5?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 20 − 20 ÷ 8?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 13 − 14 × 15?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 3 − 19 ÷ 19?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 7 × 4 − 4?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 10 − 5 + 5?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 14 + 13 ÷ 20?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 15 ÷ 15 × 15?

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