Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 203 · 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 19 − 6 + 7 ÷ 5?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 3 ÷ 9 × 15?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 6 × 2 ÷ 7?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 + 9 × 5?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 × 6 − 6 + 3?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 8 − 3 ÷ 18?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 14 ÷ 7 × 9?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 2 + 3 × 16?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 6 × 3 − 18?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 + 3 − 11?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 3 + 19 ÷ 15?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 18 ÷ 10 × 14?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 8 ÷ 8 + 6?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 19 × 18 + 2?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 20 × 8 ÷ 19 + 8?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 9 − 16 × 16?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 3 − 6 ÷ 13?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 8 − 2 ÷ 11?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 13 − 3 + 20?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 ÷ 18 × 10?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 5 × 5 ÷ 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 15 − 11 + 2?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 16 + 4 ÷ 19?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 16 × 6 + 18?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 × 7 ÷ 10?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 18 − 3 + 9?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 10 × 7 ÷ 3?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 15 − 14 + 11?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 2 × 2 + 8?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 16 × 15 + 10?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 13 ÷ 3 × 13?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 13 ÷ 6 − 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 × 11 ÷ 12?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 2 × 17 + 18?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 20 ÷ 20 + 2?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 17 − 5 + 10?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 8 × 2 + 6?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 3 × 3 − 20?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 12 − 12 + 11?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 20 × 5 ÷ 8?

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