Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 664 · 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 8 − 10 + 16 × 6?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 18 + 15 − 4?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 16 ÷ 3 + 19?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 4 ÷ 16 × 8?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 5 − 16 + 20?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 6 + 14 × 4?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 16 × 8 ÷ 6?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 5 × 5 − 5?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 3 + 7 ÷ 18?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 ÷ 14 × 14?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 − 10 ÷ 2?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 9 × 4 ÷ 18?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 19 ÷ 14 − 20?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 12 + 5 − 5?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 13 ÷ 6?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 15 + 12 − 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 14 × 9 + 4?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 6 − 3 + 6?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 2 + 8 ÷ 2?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 18 ÷ 8 × 16?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 20 ÷ 6 × 19?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 10 + 15 ÷ 3?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 ÷ 4 × 6?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 16 − 15 + 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 16 − 16 ÷ 18?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 20 − 2 × 17?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 13 + 11 ÷ 10?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 19 − 9 ÷ 17?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 14 ÷ 15 − 3?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 7 + 15 ÷ 10?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 6 × 20 + 20?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 8 × 4 ÷ 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 18 × 17 − 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 9 ÷ 4 + 9?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 × 6 ÷ 16?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 20 + 15?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 ÷ 17 × 2?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 7 ÷ 17 + 12?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 5 ÷ 12 + 12?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 ÷ 6 − 20?

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