Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 363 · 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 9 − 5 ÷ 6 + 7?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 8 × 8 − 15?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 17 + 17 − 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 + 3 × 7?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 8 − 20 ÷ 3?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 18 ÷ 5 − 3?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 4 − 2 ÷ 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 2 ÷ 20 − 3?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 − 9 ÷ 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 6 − 5 ÷ 10?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 15 × 20 − 4?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 12 − 6?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 18 ÷ 7 × 17?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 11 × 5 ÷ 12?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 5 × 2 ÷ 19?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 13 × 14 ÷ 10?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 19 × 9 ÷ 19?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 14 + 7 − 8?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 10 ÷ 3 × 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 8 ÷ 6 × 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 × 20 ÷ 11?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 10 ÷ 8 × 19?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 2 − 5 + 10?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 2 × 2 − 14?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 17 ÷ 5 − 19?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 20 ÷ 17 × 6?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 9 + 12 ÷ 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 10 ÷ 12 − 3?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 3 + 11 × 11?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 9 − 9 × 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 3 × 10 ÷ 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 2 ÷ 12 × 2?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 × 2 ÷ 19?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 − 9 ÷ 2?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 13 × 6 − 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 11 × 16 ÷ 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 20 × 4 − 17?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 ÷ 4 × 14?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 20 + 5 ÷ 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 7 ÷ 19 + 3 × 5?

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