Symbol Substitution Worksheet

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

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