Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 303 · 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 7 − 13 ÷ 14 × 8?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 19 × 3 ÷ 14?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 6 + 12 ÷ 20?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 ÷ 10 + 2?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 9 × 2 ÷ 2?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 17 ÷ 8 + 19?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 5 × 15 − 17?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 7 + 2 ÷ 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 15 ÷ 19 + 6?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 4 − 4 + 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 6 × 12 ÷ 14?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 8 − 4 × 12 + 7?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 12 − 4 + 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 11 + 7 ÷ 15?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 7 × 18 ÷ 10?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 − 15 ÷ 9?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 + 6 − 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 7 × 20 − 6?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 × 9 ÷ 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 11 − 7 ÷ 18?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 9 + 7 ÷ 12?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 2 ÷ 10 × 10?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 15 × 3 − 4?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 13 × 6 ÷ 5?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 19 − 17 × 17?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 15 × 5 ÷ 5?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 6 − 6 + 16?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 15 ÷ 14 − 5?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 11 ÷ 4 + 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 7 × 9 − 15?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 16 ÷ 8 × 5?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 15 − 13 ÷ 19?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 6 ÷ 9 × 19?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 2 × 17 ÷ 7?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 12 + 19 ÷ 17?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 8 + 20 × 17?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 15 − 18 ÷ 5?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 6 × 2?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 15 − 17 + 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 14 × 14 ÷ 10?

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