Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 835 · 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 + 17 × 8 − 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 2 + 12 − 6?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 11 × 20 + 6?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 6 − 16 + 4?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 17 + 17 − 4?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 19 ÷ 6 + 2?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 2 ÷ 12 × 20?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 19 × 4 ÷ 3?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 18 − 14 + 8?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 ÷ 13 × 7?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 20 + 10 − 3?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 4 + 17 × 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 12 − 4 + 3?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 7 × 17 + 14?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 + 4 ÷ 4 − 10?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 × 6 ÷ 17?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 20 + 12 × 5?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 17 + 4 ÷ 14?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 18 × 10 ÷ 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 15 ÷ 13 × 11?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 12 + 6 − 6?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 16 + 4 ÷ 19?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 2 ÷ 5 − 17?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 17 ÷ 19 + 20?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 13 + 2 × 10?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 15 − 18 × 15?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 12 + 20 ÷ 12?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 10 − 4 ÷ 3?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 12 ÷ 6 + 14?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 8 + 18 − 14?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 5 ÷ 20 × 10?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 + 10 × 14?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 9 ÷ 17 + 2?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 8 + 19 ÷ 7?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 7 − 8 + 16?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 8 × 17 − 17?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 20 + 20 − 18?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 17 − 13 × 8?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 3 ÷ 7 − 8?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 8 − 12 ÷ 14?

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