Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 367 · 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 14 + 6 ÷ 11 − 7?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 12 − 12 ÷ 3?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 9 + 16 ÷ 8?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 5 + 12 − 6?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 20 × 11 ÷ 11?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 × 11 + 5?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 10 ÷ 6 − 18?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 3 + 15 − 2?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 3 × 8 − 10?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 15 + 5 × 16?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 12 ÷ 18 − 11?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 17 + 7 ÷ 10?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 11 − 2 × 4?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 3 × 5 − 5?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 9 ÷ 4 − 18?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 15 − 4 ÷ 15?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 4 × 11 + 11?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 − 6 ÷ 4?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 6 ÷ 3 + 6?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 − 2 + 4 × 20?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 8 × 4 ÷ 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 15 − 16 + 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 7 × 7 + 7?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 2 ÷ 6 − 19?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 19 × 16 ÷ 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 × 17 ÷ 17?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 10 − 2 × 5 ÷ 13?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 20 × 2 − 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 18 ÷ 3 × 12?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 10 ÷ 8 + 20?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 5 − 13 + 18?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 17 + 16 ÷ 5?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 16 − 4 + 8 ÷ 19?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 12 + 15 ÷ 13?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 3 + 6 × 2?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 4 − 12 × 7?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 20 + 5 × 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 + 9 × 8?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 × 15 − 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 11 × 10 ÷ 8?

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