Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 353 · 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 10 + 7 − 10 ÷ 11?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 8 ÷ 12 × 14 − 4?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 × 14 ÷ 13?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 6 + 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 9 ÷ 3 × 11?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 15 − 17 × 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 + 5 × 4?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 15 × 8 + 8?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 − 5 × 5?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 3 − 3 + 8?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 17 − 16 + 4?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 9 × 4 − 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 7 + 7 × 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 9 − 17 + 20?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 20 − 18 × 13?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 4 − 4 ÷ 17?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 15 + 9 − 18?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 5 − 3 + 3?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 14 + 6 × 5?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 9 + 3 ÷ 2?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 15 + 2 × 13?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 5 ÷ 18 − 13?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 4 + 10 − 2?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 15 + 5 × 18?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 7 − 14 ÷ 18?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 10 − 2 ÷ 15?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 10 + 16 − 16?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 × 16 ÷ 6?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 19 ÷ 19 − 19?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 6 × 20 ÷ 17?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 7 ÷ 19 + 19?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 17 + 17 − 2 ÷ 10?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 18 − 5 + 11?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 4 ÷ 12 × 3?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 − 12 + 4?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 12 + 2 ÷ 19?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 16 ÷ 9 × 16?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 2 − 4 × 4?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 16 + 16 × 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 4 × 6 ÷ 19?

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