Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 519 · 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 17 − 3 × 20 ÷ 4?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 ÷ 6 × 14?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 20 − 4 × 18?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 11 − 8 ÷ 18?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 5 × 2 ÷ 10?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 20 + 19 − 17?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 7 − 10 ÷ 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 4 − 20 + 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 10 + 5 × 20?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 ÷ 10 × 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 + 2 × 9?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 6 ÷ 12 + 16?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 − 14 ÷ 6?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 7 + 10 − 10?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 14 × 10 ÷ 4?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 × 16 ÷ 8?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 − 2 × 4?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 9 − 13 ÷ 5?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 9 + 6 × 18?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 10 + 8 ÷ 6?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 + 4 ÷ 19?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 16 + 2 − 4?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 9 × 15 − 5?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 7 − 12 + 2?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 9 ÷ 8 − 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 19 − 13 ÷ 9?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 6 × 15 − 12?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 10 − 18 ÷ 16?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 ÷ 3 + 17 − 20?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 8 + 15 ÷ 15?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 8 ÷ 20 × 11?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 20 × 14 ÷ 16?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 20 + 11 × 10?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 10 ÷ 18 − 16?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 14 ÷ 10 + 8?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 11 + 10 ÷ 4?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 14 × 10 − 20?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 × 2 ÷ 17?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 20 + 5 − 6?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 10 ÷ 12 + 12?

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