Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 691 · 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 14 − 20 + 20 × 9?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 5 − 4 × 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 ÷ 11 − 5?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 4 − 4 × 8?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 20 ÷ 16 + 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 3 × 14 − 2?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 16 − 10 × 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 4 + 13 ÷ 12?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 − 9 ÷ 2?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 13 ÷ 8 × 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 5 − 16 + 2?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 3 ÷ 19 × 20?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 12 + 3 ÷ 16?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 + 19 ÷ 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 16 + 4 ÷ 3?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 17 + 13 × 5?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 4 × 8 + 6?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 4 − 3 × 3?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 5 × 4 − 4?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 14 ÷ 6 × 15?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 8 + 15 × 15?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 5 × 14 + 7?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 3 − 12 + 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 13 − 12 ÷ 10?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 18 ÷ 8 − 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 7 × 20 ÷ 19?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 17 + 17 − 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 15 ÷ 19 + 16?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 5 × 9 ÷ 13?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 ÷ 15 + 9?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 2 + 18 × 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 4 − 4 + 7?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 15 − 10 ÷ 4?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 18 ÷ 5 × 13?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 9 × 10 + 13?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 12 − 15 ÷ 9?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 15 ÷ 8 × 8?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 2 ÷ 15 × 19?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 7 × 15 + 5?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 5 ÷ 11 + 17?

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