Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 78 · 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 17 × 8 + 3 ÷ 11?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 11 ÷ 12 + 10?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 16 − 4 ÷ 7?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 16 ÷ 7 − 14?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 13 ÷ 13 × 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 + 8 ÷ 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 3 ÷ 10 − 5?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 7 ÷ 10 × 10?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 10 ÷ 9 × 12?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 ÷ 11 × 6?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 7 × 7 − 13?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 11 ÷ 9 − 12?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 12 × 7 + 7?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 16 − 16?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 4 ÷ 7 × 5?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 2 × 19 − 10?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 6 × 10 ÷ 14?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 16 × 11 + 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 10 × 12 ÷ 15?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 4 × 3 ÷ 3?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 13 − 15 + 5?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 3 × 7 ÷ 14 − 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 8 − 18 ÷ 10?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 × 19 − 18 ÷ 12?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 11 − 20 ÷ 16?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 13 + 8 × 16?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 15 − 5 × 5?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 16 ÷ 3 + 14?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 4 − 13 × 4?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 18 × 14 − 12?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 7 + 2 − 2?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 7 ÷ 3 + 11?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 17 × 17 + 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 10 − 2 × 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 6 × 11 + 6?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 17 × 17 + 12?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 10 × 10 ÷ 2?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 4 + 4 − 19?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 18 − 18 + 18?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 2 ÷ 9 + 12?

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