Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 909 · 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 11 − 6 ÷ 7 + 5?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 6 + 5 × 7?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 − 3 × 17?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 2 × 2 + 19?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 18 ÷ 11 × 4?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 13 × 2 ÷ 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 × 3 ÷ 17?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 7 ÷ 6 × 10?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 5 ÷ 11 − 5?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 + 9 − 7?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 20 × 18 + 14?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 4 ÷ 20 + 20?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 11 − 9 + 9?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 6 × 7 − 7?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 11 − 7 + 15?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 19 + 2 × 2?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 + 4 × 15?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 ÷ 4 × 20?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 19 × 20 + 7?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 9 × 13 ÷ 3?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 2 + 20 ÷ 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 19 ÷ 12 + 5?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 12 ÷ 11 + 6?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 7 + 20 × 2?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 16 + 8 × 12?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 4 × 6 + 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 10 + 7 ÷ 8?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 6 × 4 + 14?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 13 + 6 × 6?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 13 + 11 ÷ 19?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 18 + 18 × 3?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 × 10 ÷ 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 18 ÷ 2 × 4?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 16 + 15 − 6?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 20 − 15 ÷ 9?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 19 ÷ 14 − 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 11 × 7 + 7?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 − 5 + 12?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 + 4 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 14 − 11 + 18?

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