Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 750 · 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 20 ÷ 12 + 19 × 6?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 2 ÷ 6 × 18?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 3 − 2 × 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 4 − 18 + 15?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 5 − 5 + 7?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 9 + 13 ÷ 3?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 20 × 18 + 18?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 5 × 7 + 2?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 12 + 16 ÷ 13?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 15 − 12 + 13?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 18 − 6 + 12?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 16 − 3 ÷ 10?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 20 ÷ 6 + 11?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 18 − 17 + 4?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 14 ÷ 18 + 12?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 9 − 18 ÷ 4?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 × 11 − 11 ÷ 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 13 ÷ 14 − 8?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 2 ÷ 10 × 2?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 12 × 9 ÷ 3?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 5 ÷ 5 + 16 × 15?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 16 + 2 ÷ 13?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 20 × 4?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 2 × 2 + 5?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 7 ÷ 19 + 6?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 15 − 5 ÷ 9?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 15 − 11 + 4?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 8 × 7 ÷ 19 + 6?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 16 × 19 ÷ 17?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 7 ÷ 10 − 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 7 ÷ 9 − 4?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 10 ÷ 4 + 7?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 ÷ 3 − 12?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 5 − 10 × 20?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 16 − 17 ÷ 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 ÷ 12 + 14?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 3 + 13 × 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 3 × 14 ÷ 10?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 9 ÷ 10 + 2?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 16 − 11 ÷ 18?

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