Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 433 · 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 12 ÷ 12 − 5 + 6?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 13 × 8 + 8?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 × 12 + 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 2 × 16 − 9?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 4 − 14 ÷ 12?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 14 − 7 × 6?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 × 9 ÷ 6?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 8 ÷ 17 − 11?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 16 + 6 × 4?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 2 + 2 − 17?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 17 − 18 ÷ 8?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 ÷ 5 × 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 17 + 12 − 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 3 − 11 + 2?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 12 × 4 + 7?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 7 × 8 + 10?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 17 + 16 ÷ 18?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 10 × 4 − 14?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 20 × 16 ÷ 14?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 10 + 15 ÷ 15?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 11 ÷ 16 × 19?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 4 ÷ 15 − 10?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 10 − 2 + 8?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 + 9 × 14?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 9 × 17 + 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 − 18 ÷ 4?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 12 − 12 ÷ 10?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 6 × 6 + 12?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 13 ÷ 20 + 3?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 13 − 18 + 6?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 13 ÷ 11 − 15?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 15 × 17 − 13?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 7 + 4 × 3?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 − 4 × 15?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 × 20 + 17 − 10?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 10 − 2 × 12?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 6 ÷ 3 × 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 18 ÷ 13 + 3?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 9 + 7 ÷ 14?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 − 9 × 3?

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