Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 872 · 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 14 ÷ 17 + 10 × 10?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 8 ÷ 10 + 12?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 14 × 7 ÷ 13?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 7 × 6 ÷ 13?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 − 4 ÷ 6?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 17 × 14 ÷ 4?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 10 + 10?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 17 ÷ 12 + 20?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 − 3 × 16?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 15 × 18 + 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 6 − 19 + 7?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 18 ÷ 6 − 20?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 3 ÷ 10 × 14?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 4 × 14 ÷ 4?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 4 + 13 ÷ 13?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 12 × 12 − 5?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 × 17 ÷ 6?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 15 ÷ 5 − 5?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 5 ÷ 2 × 17?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 12 ÷ 8 × 8?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 20 + 2 ÷ 14?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 18 ÷ 10 × 13?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 6 × 6 + 9?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 20 − 6 + 4?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 12 × 6?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 10 ÷ 2 × 16?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 11 ÷ 6?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 10 + 7 ÷ 16?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 8 + 2 × 15?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 18 − 8 ÷ 7?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 10 ÷ 6 + 6?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 × 6 ÷ 18?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 5 × 20 + 10?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 20 + 9 − 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 12 + 20 ÷ 16?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 × 5 + 6 − 19?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 7 + 7 ÷ 5?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 20 × 18 + 2?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 20 + 20 × 16?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 2 ÷ 19 × 17?

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