Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 893 · 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 + 11 ÷ 5 × 2?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 3 ÷ 8 × 16?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 7 × 11 + 5?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 12 × 12 + 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 15 − 14 + 12?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 19 ÷ 8 + 2?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 9 + 18 × 4 ÷ 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 15 ÷ 12 × 4?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 2 ÷ 5 − 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 16 ÷ 7 + 10?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 11 − 8 ÷ 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 11 − 2 × 18?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 7 ÷ 3 × 9?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 12 + 8 ÷ 11?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 20 × 10 + 12?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 14 − 4 × 2?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 16 + 9 × 3?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 19 + 2 × 15?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 19 × 12 − 15?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 15 − 15?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 12 − 19 ÷ 16?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 14 × 18 + 3?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 2 ÷ 3 − 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 17 × 15 − 6?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 19 ÷ 19 − 8?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 2 × 5 ÷ 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 12 − 2 ÷ 16?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 5 × 2 + 2?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 11 ÷ 19 − 5?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 5 ÷ 7 + 14?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 10 − 2 ÷ 7?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 20 × 10 − 5?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 3 + 14 × 7?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 5 − 5?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 14 − 2 + 6 × 12?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 × 2 + 16 − 13?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 2 − 14 × 2?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 2 × 2 ÷ 14?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 10 × 17 ÷ 16?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 2 × 16 − 14?

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