Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 499 · 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 12 + 17 ÷ 5 − 6?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 11 × 11 − 15?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 ÷ 20 − 5?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 13 − 20 × 10?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 15 × 6 + 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 7 × 7 ÷ 3?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 4 ÷ 16 + 19?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 18 + 11 × 13?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 2 × 12 + 12?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 × 2 − 11 + 13?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 10 + 12 − 15?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 20 ÷ 16 × 17?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 3 ÷ 15 − 3?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 5 × 4 ÷ 15?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 9 + 3 ÷ 10?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 6 × 20 ÷ 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 7 × 20 ÷ 13?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 12 − 13 ÷ 20?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 20 + 2 ÷ 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 × 2 ÷ 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 11 ÷ 4 − 18?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 4 × 18 ÷ 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 + 3 ÷ 12?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 13 + 4 × 4?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 4 ÷ 18 × 8?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 9 + 3 × 5?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 17 + 2 ÷ 11?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 14 × 19 − 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 4 − 15 + 18?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 9 − 18 ÷ 3?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 12 × 2 + 8?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 18 + 2 − 9?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 5 ÷ 3 × 6?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 8 − 13 + 10?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 − 16 ÷ 7?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 2 ÷ 5 − 7?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 × 15 ÷ 6?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 9 − 4 + 7?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 × 6 + 4?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 ÷ 3 − 18 + 8?

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