Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 545 · 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 20 − 16 × 12 + 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 16 × 7 ÷ 8?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 8 + 2 ÷ 9?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 + 12 ÷ 9?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 13 ÷ 12 − 3?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 5 − 20 × 13?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 7 ÷ 19 + 9?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 18 + 11 − 18?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 4 − 16 + 2?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 5 × 5 + 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 2 + 5 ÷ 2?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 6 ÷ 7 − 19?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 4 × 5 + 17?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 8 × 2 ÷ 6?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 6 ÷ 17 + 17?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 12 × 6 − 19?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 8 ÷ 4 × 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 4 − 14 × 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 11 ÷ 5 − 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 13 ÷ 6 + 13?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 11 + 4 − 4?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 − 16 × 6?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 12 ÷ 16 − 8?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 15 ÷ 16 × 7?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 17 × 3 ÷ 7?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 12 + 10?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 6 × 5 ÷ 18?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 20 × 5 ÷ 20?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 × 7 ÷ 11?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 3 + 3 − 12?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 11 + 11 ÷ 5 − 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 12 − 5 + 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 15 + 15 − 19?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 6 ÷ 15 − 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 8 × 13 − 5?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 4 × 4 − 12?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 6 × 7 ÷ 2?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 7 − 15 ÷ 13?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 − 14 × 12?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 5 × 15 ÷ 12?

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