Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 916 · 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 3 ÷ 15 × 12 − 11?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 3 × 7 + 7?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 9 ÷ 14 + 14?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 4 − 2 × 4?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 17 ÷ 10 + 14?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 4 ÷ 8 + 3?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 5 ÷ 11 × 5?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 2 − 13 ÷ 11?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 ÷ 4 × 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 19 + 5 ÷ 3?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 20 + 4 ÷ 10?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 4 + 4 × 7?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 15 + 19 ÷ 10?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 15 + 13 ÷ 5?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 + 7 × 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 14 + 5 × 15?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 3 ÷ 6 − 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 17 ÷ 4 + 9?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 16 × 16 ÷ 2?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 8 ÷ 7 + 9?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 9 × 18 + 12?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 8 × 10 + 2?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 9 − 3 × 9?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 20 ÷ 13 + 20?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 10 + 3 ÷ 19?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 5 × 17 ÷ 20?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 10 ÷ 2 × 4?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 ÷ 2 × 8?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 15 + 15 ÷ 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 8 × 2 − 12?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 6 − 9 ÷ 7?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 8 + 3 ÷ 6?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 8 − 5 × 8?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 7 × 8 + 12?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 15 − 6 × 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 5 × 18 + 13?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 14 + 5 × 8?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 15 − 8 + 10?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 − 9 × 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 × 3 + 2 − 5?

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