Symbol Substitution Worksheet

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

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