Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 581 · 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 + 6 − 9 ÷ 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 8 + 11 ÷ 14?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 8 ÷ 14 × 9?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 12 ÷ 18 × 13?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 10 + 19 − 10?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 2 + 6 − 3?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 2 ÷ 3 + 13?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 20 − 16 + 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 7 − 13 + 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 20 ÷ 12 + 12?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 7 + 7 × 14?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 6 − 5 + 15?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 7 + 10 × 10?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 16 − 10 ÷ 14?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 11 − 10 + 7?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 6 × 4 − 9?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 20 × 6 − 13?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 − 6 + 19?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 7 × 14 − 14?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 3 ÷ 17 + 17?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 17 + 9 × 17?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 5 − 8 + 18?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 18 + 3?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 + 18 ÷ 12?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 8 − 15 + 16?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 9 + 11 − 3?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 6 ÷ 8 × 2?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 6 ÷ 10 − 16?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 15 ÷ 17 − 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 12 ÷ 4 − 4?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 6 ÷ 15 + 13?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 9 ÷ 18 + 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 8 ÷ 8 × 9?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 × 10 ÷ 17?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 3 × 7 ÷ 10?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 4 − 4 + 4 × 7?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 4 ÷ 12 + 16?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 12 + 8 × 4?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 20 − 17 + 17?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 11 ÷ 16 × 3?

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