Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 329 · 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 2 + 15 − 18 ÷ 3?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 16 × 8 − 10?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 + 3 × 19?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 16 − 5 + 9?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 − 14 + 20?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 ÷ 10 × 5?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 − 17 ÷ 8?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 3 ÷ 10 × 11?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 10 ÷ 20 + 13?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 2 − 13 + 13?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 20 + 14 × 8?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 × 12 ÷ 10?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 + 3 × 3?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 3 ÷ 6 × 2?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 20 + 10 − 15?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 + 13 ÷ 5?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 13 − 2 × 2?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 11 ÷ 7 × 16?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 ÷ 11 × 10?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 3 + 3 ÷ 2?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 12 ÷ 19 × 5?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 8 + 6 × 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 18 × 4 ÷ 19?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 4 − 13 ÷ 5?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 18 + 9 × 16?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 13 − 20 ÷ 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 19 ÷ 6 − 13?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 4 − 19 × 10?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 ÷ 15 − 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 ÷ 20 + 5?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 3 + 2 × 11?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 8 × 2 + 4?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 4 − 4 ÷ 3?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 − 17 ÷ 15?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 8 ÷ 15 − 18?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 4 − 12 ÷ 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 7 − 4 × 11?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 5 ÷ 4 × 19?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 13 − 16 ÷ 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 − 5 + 4?

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