Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 281 · 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 13 + 20 − 7 ÷ 17?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 3 × 6 + 8?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 7 + 5 ÷ 20?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 18 + 7 − 18?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 9 + 7 ÷ 20?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 4 ÷ 12 × 15?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 × 3 ÷ 9?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 × 16 ÷ 14?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 3 + 12 ÷ 20?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 17 × 13 ÷ 18?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 2 + 8 × 19?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 ÷ 5 × 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 − 2 × 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 17 − 7 + 9?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 − 10 × 2?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 13 × 11 ÷ 10?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 16 − 12 ÷ 7?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 12 + 8 ÷ 11?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 × 17 ÷ 3?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 8 + 2 ÷ 11?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 2 × 7 ÷ 12?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 7 × 14 ÷ 18?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 6 ÷ 17 + 17?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 2 + 10 − 20?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 3 ÷ 3 + 4?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 12 + 19 − 3?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 ÷ 8 − 18 + 17?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 16 + 15 ÷ 15?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 7 ÷ 6 × 8?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 14 × 13 ÷ 10?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 18 × 18 + 16?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 9 × 20 ÷ 17?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 13 − 2 ÷ 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 15 ÷ 10 + 9?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 16 × 10 ÷ 17?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 3 ÷ 10 × 10?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 × 16 ÷ 2 + 4?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 5 × 20 ÷ 17?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 12 − 6 × 9?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 2 ÷ 10 + 20?

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