Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 217 · 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 6 − 3 × 8 + 11?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 20 + 4 ÷ 12?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 20 ÷ 18 + 8?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 4 × 11 + 11?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 2 ÷ 6 + 3?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 6 − 16 × 8?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 4 + 7 − 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 3 + 20 − 18?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 5 ÷ 7 × 12?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 7 + 9 × 9?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 4 − 18 + 8?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 9 − 17 + 17?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 18 ÷ 12 − 16?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 5 × 14 ÷ 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 7 × 6 ÷ 10?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 4 ÷ 13 − 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 20 ÷ 7 − 10?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 3 + 8 × 3?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 + 14 ÷ 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 13 × 9 − 10?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 + 5 ÷ 6?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 16 ÷ 7 + 17?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 14 ÷ 7?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 20 − 16 × 19?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 17 + 13 ÷ 20?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 7 ÷ 18 − 2?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 13 ÷ 15 × 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 14 + 15 − 20?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 7 ÷ 3 × 7?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 9 + 15 × 3?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 18 ÷ 14 × 3?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 19 × 19 + 7?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 18 × 9 − 3?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 10 × 6 − 3 + 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 4 − 5 + 17?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 17 × 19?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 18 − 5 + 3?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 10 − 2 × 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 20 − 3 ÷ 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 11 × 6 ÷ 19?

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