Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 345 · 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 15 + 5 × 16 − 16?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 − 3 ÷ 8?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 14 × 11 ÷ 3?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 3 × 5 ÷ 8?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 2 ÷ 2 × 12?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 11 − 10 ÷ 19?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 9 + 8 − 9?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 19 + 19 × 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 11 − 9 + 14?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 17 ÷ 16 + 20?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 2 ÷ 10 × 19?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 2 − 8 ÷ 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 19 ÷ 11 − 7?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 12 − 8 × 16?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 12 + 11 × 15?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 3 ÷ 6 × 10?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 14 − 18 ÷ 16?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 19 ÷ 4 × 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 6 − 8 × 19?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 13 ÷ 14 × 14?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 7 − 7 × 12?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 18 × 16 + 5?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 15 ÷ 7 − 9?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 10 × 15 ÷ 5?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 3 + 6 − 13?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 16 ÷ 4 + 20?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 6 ÷ 12 − 7?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 3 × 12 − 16?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 6 × 12 − 10?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 20 ÷ 2 + 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 4 ÷ 8 × 10?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 11 ÷ 17 × 9?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 9 − 7 ÷ 7?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 17 ÷ 6 × 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 11 + 18 ÷ 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 9 + 18 ÷ 8?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 7 − 8 ÷ 16?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 6 − 3 + 3?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 18 × 3 ÷ 6?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 + 18 × 15?

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