Symbol Substitution Worksheet

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

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