Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 822 · 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 16 ÷ 6 + 15 × 5?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 4 ÷ 18 − 9?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 11 − 4 × 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 9 − 14 + 7?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 13 − 16 ÷ 11?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 11 − 9 × 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 15 + 4 − 5?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 13 − 8 ÷ 16?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 6 + 3 ÷ 15?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 5 × 10 ÷ 13?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 16 − 12 ÷ 4?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 8 ÷ 13 + 11?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 4 + 10 ÷ 18?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 7 ÷ 8 × 2?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 5 × 10 − 11?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 5 ÷ 11 + 11?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 × 3 ÷ 12?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 5 − 11 × 11?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 14 × 8 − 19?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 12 ÷ 15 × 13?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 8 − 4 × 2?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 15 ÷ 4 − 20?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 − 2 + 10?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 19 − 5 + 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 12 × 16 + 2?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 15 × 4 + 11?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 14 − 13 + 6?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 8 ÷ 7 + 8?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 7 + 9 ÷ 6?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 11 − 5 + 5?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 20 ÷ 15 − 19?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 7 ÷ 19 − 11?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 7 − 5 ÷ 15?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 4 − 10 + 4?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 18 ÷ 2 + 10?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 15 ÷ 2 + 3?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 4 − 2 + 18?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 4 + 2 × 15?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 11 + 11 × 3?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 10 + 14 − 10?

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