Symbol Substitution Worksheet

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

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