Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 336 · 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 6 + 4 − 8 ÷ 6?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 10 × 14 ÷ 10?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 8 × 16 + 3?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 6 ÷ 10 × 6?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 ÷ 8 − 8?
6. 6.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 10 × 5 + 5?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 + 7 × 10?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 2 ÷ 6 − 2?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 6 + 17 ÷ 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 6 + 6 ÷ 17?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 12 − 16 × 4?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 11 ÷ 14 − 15?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 9 × 5 ÷ 2?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 × 11 ÷ 7?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 16 ÷ 8 × 12?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 − 4 ÷ 4?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 13 + 7 ÷ 15?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 5 − 13 + 14?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 18 − 2 ÷ 12?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 14 − 10 + 7?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 7 ÷ 10 + 4?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 20 + 18 × 20?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 14 × 14 − 8?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 2 × 18 − 5?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 4 ÷ 12 + 7?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 + 7 × 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 6 + 7 ÷ 18?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 16 × 10 ÷ 15?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 − 14 × 2?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 4 − 2 + 6?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 2 − 9 ÷ 15?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 + 4 − 3?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 6 − 3 ÷ 19?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 10 + 11 ÷ 17?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 8 × 15 ÷ 6?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 12 ÷ 14 × 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 4 ÷ 6 × 14?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 13 + 3 ÷ 10?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 7 × 15 ÷ 6?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 14 − 2 ÷ 17?

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