Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 216 · 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 4 ÷ 20 × 15 + 15?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 18 ÷ 15 + 2?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 19 × 6 − 2?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 11 ÷ 11 + 18?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 8 ÷ 17 + 7?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 20 − 7 ÷ 2?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 7 ÷ 17 + 10?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 11 + 5 − 7?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 4 × 4 − 12?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 19 ÷ 8 − 3?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 18 + 12 ÷ 20?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 13 ÷ 9 − 4?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 5 + 9 × 8?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 5 + 16 × 4?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 10 ÷ 4 × 2?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 9 ÷ 5 + 4?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 8 × 16 − 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 15 − 13 ÷ 8?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 17 + 5 × 13?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 6 − 15 + 8?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 4 ÷ 2 + 13?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 9 + 5 × 18 ÷ 9?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 − 16 × 4?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 19 + 7 ÷ 3?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 2 − 8 + 5?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 13 + 19 − 19?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 11 − 2 × 18?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 16 + 8 ÷ 12?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 ÷ 6 − 10 + 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 10 − 7 ÷ 6?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 12 − 6 × 6?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 2 − 10 × 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 12 × 17 − 8?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 12 ÷ 11 − 5?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 6 × 7 ÷ 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 11 ÷ 20 + 16?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 3 ÷ 4 − 14?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 17 × 2 + 4?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 10 ÷ 16 − 16?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 15 ÷ 8 − 15?

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