Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 713 · 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 16 − 16 ÷ 6 + 19?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 10 ÷ 14 − 15?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 − 14 + 12?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 5 + 19 × 15?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 9 − 20 + 11?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 20 × 4 ÷ 20?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 12 ÷ 17 × 18?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 5 ÷ 9 × 20?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 20 ÷ 18 × 9?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 4 ÷ 2 × 15?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 3 ÷ 14 × 19?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 13 ÷ 16 × 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 8 × 2 − 8?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 19 + 16 − 4?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 7 − 4 ÷ 13?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 4 ÷ 2 + 19?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 6 ÷ 9 − 2?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 4 − 18 × 4?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 17 + 6 ÷ 11?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 − 10 × 6?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 ÷ 20 × 13?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 5 − 14 × 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 20 + 20 × 13 ÷ 16?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 16 − 5 + 13?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 14 ÷ 8 − 19?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 12 + 3 ÷ 5?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 9 ÷ 10 × 15?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 18 × 16 + 7?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 + 5 ÷ 19?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 12 − 10 ÷ 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 18 + 18 ÷ 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 6 + 20 ÷ 17?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 2 ÷ 9 − 12?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 16 × 2 − 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 13 + 12 ÷ 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 16 × 14 − 20?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 18 + 9 − 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 14 × 15 − 15?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 3 × 2 ÷ 5?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 6 + 8 − 4?

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