Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 107 · 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 − 16 × 16?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 11 + 3 ÷ 5?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 4 ÷ 11 − 12?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 4 ÷ 10 + 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 16 ÷ 6 + 5?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 − 2 × 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 9 ÷ 7 + 10?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 2 ÷ 8 − 9?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 − 5 ÷ 3?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 − 7 ÷ 2?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 8 ÷ 16?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 12 + 4 − 5?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 13 ÷ 4 × 10?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 6 × 9 ÷ 18?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 18 ÷ 3 + 7?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 15 ÷ 18 − 14?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 15 + 18 ÷ 3?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 5 − 3 × 19?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 14 × 4 + 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 16 − 15 ÷ 12?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 × 3 − 3?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 20 ÷ 7 + 13?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 10 + 13 ÷ 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 16 ÷ 19 × 11?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 17 ÷ 17 + 6?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 15 ÷ 12 − 8?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 10 × 2 + 8?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 15 + 7 ÷ 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 17 + 16 ÷ 8?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 10 − 10 ÷ 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 2 ÷ 4 × 20?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 8 ÷ 18 − 6?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 12 ÷ 12 + 6?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 6 + 8 − 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 20 − 20 ÷ 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 2 − 2 × 5 + 3?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 19 + 13 ÷ 15?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 10 ÷ 8 + 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 7 ÷ 5 × 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 3 ÷ 4 + 10?

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