Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 167 · 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 5 − 5 ÷ 15 × 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 5 × 15 ÷ 3?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 11 + 19 ÷ 17?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 17 × 20?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 20 ÷ 20 × 3?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 15 × 2 ÷ 12?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 15 − 15 ÷ 10?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 3 − 3 + 14?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 18 − 6 ÷ 19?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 10 × 10 − 14?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 14 − 12 + 2?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 6 × 15 − 3?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 20 − 6 × 12?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 3 × 8 ÷ 13?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 6 ÷ 19 × 17?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 10 ÷ 9 − 2?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 4 × 13 + 7?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 17 × 13 + 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 7 − 18 ÷ 10?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 13 ÷ 11 + 20?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 12 + 4 − 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 + 5 ÷ 16 × 3?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 18 + 2 − 18?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 8 − 16 ÷ 8?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 10 − 10 ÷ 20?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 8 + 11 × 11?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 3 − 2 ÷ 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 11 + 9 ÷ 10?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 18 + 6 − 3?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 13 − 16 + 9?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 7 − 12 ÷ 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 11 + 10 × 7?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 3 ÷ 8 − 6?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 15 × 19 ÷ 10?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 8 × 9 − 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 4 × 5 − 18?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 × 3 ÷ 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 11 × 11 ÷ 12?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 15 − 2 + 5?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 6 + 6 − 8?

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