Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 989 · 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 − 10 ÷ 2 + 19?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 20 − 16 × 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 16 − 4 × 14?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 8 − 2 × 19?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 − 2 × 11?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 5 ÷ 2 + 10?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 20 − 3 + 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 15 × 11 − 3?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 10 − 2 ÷ 8?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 16 ÷ 8 + 19?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 14 × 11 ÷ 5?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 8 + 11 × 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 20 × 4 + 20?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 19 + 12 ÷ 3?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 11 × 8 ÷ 14?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 3 ÷ 5 + 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 5 ÷ 15 − 5?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 20 − 3 + 11?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 12 ÷ 12 + 5?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 14 ÷ 11 − 2?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 6 − 4 + 8?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 10 − 13 + 17?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 18 × 19 ÷ 11?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 7 × 14 ÷ 12?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 3 ÷ 18 × 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 4 ÷ 12 + 3?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 18 ÷ 2 + 4?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 8 × 9 ÷ 13?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 18 + 18 − 4?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 15 + 10 × 3?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 2 ÷ 6 + 17?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 17 + 17 × 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 18 × 6 ÷ 20?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 20 × 9 + 17?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 18 + 7 − 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 9 × 19 + 18?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 ÷ 12 × 13?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 3 − 17 ÷ 18?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 ÷ 14 − 15?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 10 ÷ 2 × 6?

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