Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 169 · 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 11 − 12 ÷ 15 + 2?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 2 × 2 − 3?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 14 × 3 − 15?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 3 − 20 × 11?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 10 × 2 − 9?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 7 − 2 ÷ 19?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 12 + 15 ÷ 3?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 5 − 3 ÷ 16?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 12 − 14 × 8?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 7 ÷ 10 − 2?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 8 ÷ 7 + 3?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 17 × 12 ÷ 5?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 ÷ 3 × 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 11 − 17 + 6?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 20 − 9 + 19?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 11 ÷ 14 − 7?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 12 − 12 × 3?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 6 ÷ 8 × 2?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 13 × 8 − 4?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 7 + 2 ÷ 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 3 × 7 ÷ 2?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 12 ÷ 18 + 6 × 8?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 4 ÷ 10 − 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 13 × 19 + 19?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 13 × 13 ÷ 4?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 15 − 16 ÷ 3?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 4 ÷ 3 + 12?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 15 − 8 ÷ 19?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 15 + 17 ÷ 5?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 17 + 12 × 6?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 6 × 2 + 5?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 3 ÷ 18 × 5?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 19 ÷ 6 × 19?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 15 + 15 × 8?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 16 ÷ 5 × 4?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 2 + 10 − 12?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 ÷ 6 − 18 + 2?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 19 + 3 ÷ 12?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 2 − 20 ÷ 7?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 7 − 6 × 14?

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