Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 977 · 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 7 + 7 ÷ 17 × 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 10 × 9 ÷ 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 11 × 20 ÷ 11?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 + 6 × 13?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 14 + 12 × 4?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 3 ÷ 9 × 13?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 10 + 18 ÷ 3?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 × 5 + 5 ÷ 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 6 − 16 + 14?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 14 + 17 × 2?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 9 − 2 + 12?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 16 ÷ 8 + 8?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 6 + 13 ÷ 13?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 5 × 3 − 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 − 12 ÷ 3?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 9 ÷ 14 + 14?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 3 − 20 ÷ 20?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 3 × 12 ÷ 11?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 17 − 2 + 8?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 4 ÷ 2 − 12?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 12 ÷ 10 − 11?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 17 ÷ 20 × 5?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 5 + 15 − 17?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 12 − 9 ÷ 8?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 8 − 20 + 10?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 17 ÷ 18 − 4?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 13 × 3 − 3?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 10 + 7 ÷ 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 ÷ 10 + 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 6 − 19 ÷ 20?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 15 + 13 − 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 5 − 4 ÷ 20?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 17 − 4 + 4?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 16 − 7 ÷ 9?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 10 × 4 ÷ 13?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 12 × 13 ÷ 5?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 18 + 3 ÷ 14?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 3 ÷ 20 + 2?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 15 + 16 − 6?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 12 ÷ 18 × 14?

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