Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 360 · 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 17 − 16 ÷ 7 × 11?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 13 ÷ 16 × 4?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 12 − 6 + 7?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 × 10 + 2?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 9 − 4 ÷ 17?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 × 6 ÷ 14?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 11 − 6 ÷ 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 11 + 4 − 4?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 4 + 4 × 9?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 11 − 3 + 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 × 2 + 2?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 × 3 ÷ 17?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 12 − 4 + 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 16 ÷ 16 + 4?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 9 × 5 ÷ 16?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 6 − 3 ÷ 17?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 17 + 17 − 19 × 9?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 12 × 15 ÷ 7?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 13 ÷ 7 + 11?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 6 − 17 ÷ 8?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 − 20 ÷ 20?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 9 × 9 ÷ 7?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 15 + 5 ÷ 4?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 6 + 3 ÷ 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 8 ÷ 13 × 20?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 9 − 2 + 7?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 19 × 16 ÷ 6?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 8 × 3 − 10?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 16 + 8 ÷ 4?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 18 − 13 × 13?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 6 ÷ 20 × 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 12 ÷ 12 − 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 14 − 6 + 3?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 6 + 2 − 20?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 15 + 3 × 19?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 ÷ 16 − 12?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 14 − 5 + 6?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 12 ÷ 6 + 3?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 19 − 4 ÷ 13?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 4 − 13 + 2?

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