Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 800 · 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 + 16 − 2 × 3?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 13 × 13 ÷ 12?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 10 + 10?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 16 ÷ 9 + 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 15 − 5 ÷ 8?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 9 × 12?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 11 ÷ 2 − 15?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 2 ÷ 17 − 19?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 4 − 13 + 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 12 + 9?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 − 7 + 13?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 − 18 × 3?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 8 − 6 ÷ 17?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 16 ÷ 6 − 16?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 19 + 3 × 8?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 20 + 3 − 2?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 9 × 9 − 14?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 5 × 15 − 3?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 15 + 18 − 5?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 5 + 2 ÷ 9?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 9 ÷ 10 + 11?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 12 + 4 × 14?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 16 × 19 ÷ 6?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 − 17 + 10?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 − 9 ÷ 14?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 3 − 3 ÷ 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 10 × 13 ÷ 20?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 9 × 4 − 8?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 12 × 6 − 8?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 + 10 − 2?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 19 ÷ 10 + 11?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 5 ÷ 2 × 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 9 × 17 ÷ 2?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 2 + 15 − 17?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 14 − 12 × 12?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 12 − 4 ÷ 13?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 11 × 9 ÷ 2?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 14 − 2 × 2?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 4 + 15 ÷ 11?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 19 × 17 ÷ 9?

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