Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 900 · 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 15 − 10 ÷ 13 × 20?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 3 + 3 − 3?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 18 ÷ 11 + 11?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 4 − 20 + 14?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 16 + 5 × 13?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 6 + 8 − 2?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 4 × 20 − 13?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 15 × 3 ÷ 7?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 3 − 17 × 5?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 2 + 2 − 11 ÷ 3?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 3 − 9 ÷ 5?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 5 − 4 + 3?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 5 ÷ 14 × 18?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 8 − 13 ÷ 3?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 ÷ 9 − 7?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 2 − 3 ÷ 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 18 + 9 ÷ 18?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 2 ÷ 14 + 17?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 19 ÷ 18 − 19?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 3 ÷ 10 − 5?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 15 − 2 ÷ 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 18 + 19 × 3?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 7 − 7 + 8 ÷ 13?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 × 19 ÷ 12?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 16 × 2 ÷ 15?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 4 ÷ 8 × 18?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 20 ÷ 6 × 3?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 15 ÷ 6 × 19?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 ÷ 12 − 13?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 2 ÷ 20 × 10?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 3 + 4 × 9?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 20 − 4 + 10?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 13 × 13 − 10?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 11 × 8 − 4?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 17 + 3 ÷ 17?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 ÷ 4 + 16?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 16 ÷ 14 × 7?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 × 13 ÷ 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 5 + 2?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 8 × 11 + 11?

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