Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 640 · 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 16 − 2 ÷ 3 × 4?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 10 − 10 ÷ 5?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 3 + 14 × 17?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 16 ÷ 3 + 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 5 × 3 ÷ 3?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 15 + 6 × 3?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 3 ÷ 6 + 3?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 20 ÷ 8 × 11?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 2 + 15 − 19?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 19 + 17 ÷ 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 14 − 7 × 5?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 10 ÷ 8 × 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 4 + 12 × 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 19 × 4 + 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 7 ÷ 11 × 13?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 5 × 5 ÷ 11?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 5 − 7 ÷ 11?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 15 + 20 × 20?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 2 ÷ 6 × 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 2 × 10 ÷ 9?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 14 × 18 − 9?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 12 × 9 ÷ 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 ÷ 8 × 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 9 + 8 ÷ 17?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 × 14 ÷ 10 − 2?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 15 ÷ 12 + 5?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 17 × 6 ÷ 9?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 20 ÷ 6 × 6?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 16 × 4 + 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 4 + 2 ÷ 14?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 16 × 9 + 9?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 7 × 8 ÷ 3?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 2 × 6 ÷ 16?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 13 ÷ 20 + 3?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 2 + 12 − 8?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 + 17 ÷ 14?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 6 ÷ 20 + 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 8 × 8 − 7?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 11 − 8 + 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 × 11 − 9?

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