Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 877 · 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 20 − 6 × 3 ÷ 8?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 18 − 6 + 19?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 4 − 5 ÷ 16?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 15 × 15 ÷ 20?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 19 − 10 ÷ 17?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 20 ÷ 16 − 10?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 14 × 9 ÷ 9?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 + 17 ÷ 12?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 + 13 ÷ 17?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 4 ÷ 20 + 7?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 19 ÷ 4 − 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 5 + 9 − 5?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 11 − 18 × 4?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 4 ÷ 6 − 3?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 4 + 4 × 12?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 9 − 3 + 19?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 16 − 4 × 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 + 12 ÷ 8?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 19 × 19 − 10?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 8 − 4 × 9?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 5 × 13 ÷ 13?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 3 ÷ 12 × 7?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 15 + 15 ÷ 8?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 2 + 3 × 17?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 8 + 3 − 11?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 × 15 ÷ 19?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 6 ÷ 3 + 9?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 11 ÷ 13 + 10?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 5 + 6 × 16?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 18 + 3 × 3?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 16 − 9 × 6?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 8 ÷ 9?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 20 × 4 + 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 10 − 15 × 4?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 − 8 ÷ 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 5 ÷ 19 × 15?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 2 + 19 × 19?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 16 × 4 − 10 + 5?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 ÷ 19 − 13?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 ÷ 12 × 10?

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