Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 176 · 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 − 5 × 18 ÷ 9?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 5 − 11 × 10?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 11 ÷ 19 × 3?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 5 − 10 + 8?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 2 ÷ 18 × 9?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 5 × 7 ÷ 4?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 17 × 17 ÷ 12?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 6 × 2 + 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 6 + 20 × 2?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 4 ÷ 20 × 13?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 17 + 6 × 14?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 3 − 4 × 9?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 × 2 ÷ 13?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 19 × 2 − 20?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 7 × 14 + 14?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 5 × 11?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 6 − 8 ÷ 10?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 2 − 4 + 4?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 ÷ 18 × 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 15 × 14 − 14?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 18 + 2 − 7?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 2 + 15 − 7?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 × 6 ÷ 18 + 3?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 × 11 + 3 ÷ 18?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 4 × 11 ÷ 12?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 ÷ 15 × 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 20 × 19 − 3?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 19 − 10 ÷ 12?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 3 ÷ 2 + 2?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 4 × 7 + 18?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 5 − 10 × 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 10 × 2 + 11?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 12 − 6 × 14?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 + 14 × 11?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 17 − 12 + 11?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 13 ÷ 12 + 10?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 + 11 − 19?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 4 − 16 + 19?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 × 16 ÷ 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 19 × 20 + 19?

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