Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 554 · 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 9 × 10 ÷ 13 − 8?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 16 − 4 × 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 9 − 2 ÷ 9?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 8 × 14 − 2?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 9 + 6 ÷ 10?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 × 9 ÷ 8?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 7 × 20 − 4?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 + 20 × 18?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 15 − 3 ÷ 3?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 15 − 3 × 9?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 4 ÷ 11 − 6?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 4 + 4 − 9 ÷ 18?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 5 ÷ 13 × 10?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 5 ÷ 8 + 16?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 5 + 5 − 3?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 14 ÷ 9 − 3?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 15 ÷ 16 + 2?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 + 3 ÷ 12?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 2 × 10 + 13?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 ÷ 5 × 18?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 8 ÷ 3 − 10?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 8 − 8 + 16?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 19 ÷ 7 − 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 2 − 18 ÷ 15?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 2 − 8 ÷ 7?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 2 + 14 × 16?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 17 + 17 − 19?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 16 + 15 ÷ 6?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 13 + 3 ÷ 3?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 11 × 5 ÷ 9?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 18 × 8 ÷ 12?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 14 × 2 + 6?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 − 3 × 6?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 10 × 3 − 2?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 9 × 3 ÷ 3?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 7 − 6 × 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 9 ÷ 12 × 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 20 − 3 × 17?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 5 − 7 ÷ 17?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 ÷ 5 − 6?

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