Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 229 · 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 19 − 10 + 19 ÷ 7?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 4 ÷ 9 + 7?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 3 × 17 + 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 12 × 6 + 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 3 × 6 ÷ 10?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 2 + 2 ÷ 7?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 18 + 2 × 12?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 9 ÷ 9 × 8?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 2 × 16 − 19?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 18 − 4 × 2?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 19 − 6 × 18?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 + 10 ÷ 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 9 + 20 × 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 6 × 8 ÷ 13?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 12 + 19 × 6?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 12 − 7 ÷ 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 4 ÷ 16 − 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 8 + 8 × 8?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 18 + 18 − 18?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 9 ÷ 20 × 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 + 13 ÷ 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 20 ÷ 6 + 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 7 + 19 × 2?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 8 × 10 ÷ 10?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 10 × 2 + 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 13 ÷ 4 + 17?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 ÷ 13 × 2?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 16 + 3 ÷ 15?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 4 × 13 ÷ 13?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 16 − 2 × 7?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 2 × 11 ÷ 18?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 10 + 14 ÷ 5?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 6 ÷ 7 × 7?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 18 + 15 × 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 6 − 3 ÷ 6?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 12 ÷ 16 − 3?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 15 + 3 × 17?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 15 + 3 ÷ 5?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 × 14 ÷ 8?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 11 + 16 − 8?

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