Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 240 · 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 11 × 3 ÷ 20 + 10?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 − 6 × 12?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 19 − 20 ÷ 16?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 18 + 12 − 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 9 + 14 ÷ 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 15 ÷ 17 + 10?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 19 ÷ 18 + 10?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 4 ÷ 4 × 15?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 3 × 7 − 7?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 18 − 9 × 11?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 16 × 12 ÷ 6?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 18 ÷ 8 + 3 × 13?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 2 − 4 ÷ 2?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 3 × 18 − 2?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 12 + 4 × 16?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 10 ÷ 5 + 15?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 18 + 20 ÷ 17?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 8 × 4 ÷ 10?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 10 − 5 ÷ 3?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 + 4 ÷ 6?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 3 × 8 − 2?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 20 × 14 + 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 10 − 20 × 2?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 20 + 15 ÷ 10?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 ÷ 13 × 5?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 4 ÷ 14 + 2?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 2 ÷ 16 × 7?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 8 ÷ 2 × 7?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 3 − 17 × 17?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 11 + 13 − 14?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 16 × 14 + 4?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 20 × 15 ÷ 5?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 20 + 18 − 3?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 14 + 2 − 18?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 2 − 7 × 16?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 14 + 11 − 19?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 17 ÷ 20 + 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 2 + 7 − 12?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 × 6 ÷ 5?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 ÷ 6 × 13?

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