Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 813 · 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 11 ÷ 4 − 7 + 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 4 ÷ 3 × 5?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 6 + 17 × 4?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 7 − 7 ÷ 18 + 10?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 14 × 18 ÷ 17?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 12 + 6 × 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 10 + 15 × 3?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 6 ÷ 4 + 15?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 2 − 13 ÷ 4?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 15 + 3 − 9?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 2 ÷ 15 + 20?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 17 × 11 ÷ 3?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 5 × 8 − 13?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 6 − 5 × 17?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 6 × 2 ÷ 10?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 18 − 3 × 20?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 3 + 20 − 15?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 20 − 10 + 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 6 − 15?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 16 − 18 × 9?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 8 ÷ 14 − 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 19 − 17 ÷ 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 11 ÷ 10 − 5?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 + 9 × 19?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 3 − 17 + 17?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 2 ÷ 4 − 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 9 × 19 − 19?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 − 15 + 17?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 9 ÷ 3 × 4?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 3 + 13 ÷ 11?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 × 2 ÷ 3 − 11?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 16 + 6 − 16?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 18 × 20 − 11?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 18 + 11 ÷ 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 + 9 − 8?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 9 + 6 × 2?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 13 − 8 × 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 4 − 13 ÷ 13?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 16 × 8 ÷ 20?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 11 × 11 ÷ 3?

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