Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 831 · 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 19 ÷ 8 − 2 + 17?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 20 × 10 ÷ 5?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 5 × 2 ÷ 4?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 19 × 19 ÷ 14?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 × 20 ÷ 19?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 18 × 4 ÷ 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 3 × 4 + 5?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 20 ÷ 7 − 19?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 17 − 4 × 9?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 6 − 12 × 5?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 10 − 8 + 5?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 11 − 6 ÷ 18?
13. 13.If + means ×, − means ÷, × means − and ÷ means +, what is 20 ÷ 20 + 12 − 5?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 2 ÷ 16 × 18?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 10 − 6 × 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 × 2 − 20 ÷ 3?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 20 − 18 × 3?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 3 ÷ 4 − 17?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 2 × 3 ÷ 11?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 18 + 9 ÷ 14?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 16 − 20 × 4?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 13 × 8 ÷ 15?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 2 − 10 ÷ 6?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 19 ÷ 13 × 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 2 − 2 ÷ 13 × 7?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 20 ÷ 6 × 6?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 16 × 6 + 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 19 ÷ 20 − 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 17 ÷ 13 + 5?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 + 5 × 6?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 14 × 7 ÷ 8?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 7 × 6 − 2?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 4 − 4 ÷ 6 + 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 8 ÷ 3 × 13?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 12 + 3 − 10?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 16 ÷ 11 − 14?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 3 − 2 ÷ 3?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 − 8 ÷ 6?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 8 + 4 × 4?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 3 ÷ 13 × 19?

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