Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 156 · 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 16 − 10 ÷ 3 + 6?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 9 ÷ 4 × 11?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 10 + 4 × 12?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 19 − 3 ÷ 3?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 11 + 10 × 7?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 ÷ 13 + 17?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 19 − 19 ÷ 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 15 − 18 + 7?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 13 + 13 − 7?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 9 + 9 × 9?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 9 − 13 ÷ 5?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 12 ÷ 3 + 6?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 14 − 12 + 12?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 19 ÷ 5 × 18?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 12 ÷ 4 × 8?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 6 ÷ 11 × 14 − 9?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 − 15 + 10?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 6 ÷ 7 − 18?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 9 ÷ 2 + 6 × 8?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 17 + 19 ÷ 6?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 10 ÷ 12 + 19?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 8 × 3 ÷ 8?
23. 23.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 × 4 + 2 − 5?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 3 × 11 ÷ 10?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 8 + 10 ÷ 5?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 6 × 3 ÷ 14?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 8 − 20 × 20?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 × 16 + 16?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 19 + 2 ÷ 15?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 16 + 2 ÷ 7?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 6 × 15 + 2?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 10 ÷ 16 × 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 2 × 14 − 9?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 + 3 × 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 5 − 18 × 6?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 16 + 8 ÷ 2?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 20 ÷ 12 − 10?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 17 × 14 ÷ 6?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 14 + 11 − 2?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 18 + 3 − 3?

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