Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 785 · 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 5 + 5 − 13 × 8?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 11 + 16 × 8?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 + 10 − 16?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 8 − 8 ÷ 9?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 3 × 5 − 6?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 4 + 2 × 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 5 ÷ 20 + 5?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 14 + 3 × 5?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 13 − 20 + 20?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 4 ÷ 10 − 4?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 8 ÷ 5 + 8?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 14 + 7 ÷ 12?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 − 6 + 6?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 18 − 13?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 18 − 3 ÷ 20?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 6 + 20 − 10?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 12 × 8 ÷ 4?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 ÷ 2 − 5?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 11 ÷ 5 − 3?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 7 + 5 − 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 18 × 6 − 13?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 20 − 10 ÷ 16?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 18 ÷ 2 × 20?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 3 ÷ 6 − 2?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 17 − 20 ÷ 15?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 16 − 18 ÷ 12?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 16 + 12 × 15?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 19 + 15 − 7?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 10 + 15 ÷ 4?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 18 + 7 × 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 5 × 18 − 5?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 13 + 7 ÷ 15?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 10 − 12 + 3?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 15 ÷ 6 × 5?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 12 + 19 ÷ 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 19 ÷ 12 + 20 × 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 7 ÷ 10 × 18 + 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 − 5 + 13?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 8 ÷ 14 − 20?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 9 − 20 × 5?

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