Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 349 · 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 3 × 8 − 11 ÷ 11?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 − 4 ÷ 17?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 9 ÷ 6 × 6?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 11 + 15 × 3?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 19 + 15 − 20?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 16 + 17 − 20?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 + 6 ÷ 13?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 6 − 3 + 19?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 19 ÷ 9 × 12?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 3 ÷ 4 × 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 6 × 4 − 11?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 ÷ 20 + 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 4 × 4 − 9?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 4 − 8?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 17 ÷ 10 − 14?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 18 − 18 ÷ 16?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 12 ÷ 6 + 4?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 15 + 3 ÷ 4?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 4 + 2 − 14 × 11?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 20 − 2 + 6?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 20 ÷ 12 × 4?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 19 + 16 ÷ 15?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 12 × 19 ÷ 14?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 19 + 18 − 2?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 10 − 5 × 15?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 10 × 12 ÷ 20 + 14?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 + 20 × 5 ÷ 20?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 9 × 9 + 13?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 6 ÷ 10 − 7?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 4 × 4 − 2?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 2 ÷ 12 + 18?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 15 ÷ 14 + 10?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 16 − 19 ÷ 9?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 15 × 7 − 19?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 12 + 4 − 14?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 4 − 18 + 5?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 6 × 14 ÷ 15?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 × 4 − 12?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 14 − 12 × 4?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 20 − 12 + 7?

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