Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 505 · 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 4 ÷ 3 × 3 − 12?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 13 ÷ 6 + 2?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 10 × 18 ÷ 18?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 18 + 9 − 14?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 19 − 8 × 14?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 20 ÷ 15 + 11?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 9 ÷ 11 − 11?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 5 − 5 + 10?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 × 10 ÷ 5?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 2 − 6 + 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 11 + 11 ÷ 7 × 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 4 − 4 × 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 8 − 4 × 5?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 10 ÷ 4 − 9?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 17 + 3 ÷ 6?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 − 5 ÷ 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 18 × 3 + 10?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 4 × 19 ÷ 3?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 4 ÷ 9 × 19?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 19 × 7 ÷ 10?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 9 + 10 × 2?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 4 ÷ 10 + 7?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 19 + 15?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 16 ÷ 7 × 3?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 16 + 20 ÷ 12?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 10 + 2 − 15?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 12 ÷ 11 − 6?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 20 ÷ 20 × 10?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 18 ÷ 9 × 3?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 10 − 11 ÷ 15?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 18 ÷ 10 + 2?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 12 × 6 + 12?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 15 − 13 ÷ 7?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 9 × 3 ÷ 8?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 7 ÷ 8 − 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 10 − 7 + 16?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 5 × 15 + 3?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 8 + 2 ÷ 7?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 2 × 4 ÷ 17?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 ÷ 6 × 8?

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