Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 411 · 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 × 15 − 19 + 15?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 6 × 6 ÷ 3?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 16 ÷ 13 + 15?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 5 ÷ 2 × 17?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 6 ÷ 20 × 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 18 − 2 + 7?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 ÷ 14 × 6?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 11 × 11 + 5?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 14 × 14 + 10?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 16 − 8 + 17?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 3 + 6 ÷ 10?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 18 + 12 ÷ 13?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 16 − 4 × 7?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 2 × 15 − 13?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 2 + 14 − 14?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 11 ÷ 3 + 13?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 18 − 18 × 8?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 2 − 15 + 2?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 20 ÷ 16 × 18?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 15 × 15 ÷ 12?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 11 ÷ 10 − 20?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 − 9 × 9?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 15 × 20 ÷ 16?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 18 ÷ 12 + 12?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 4 × 10 + 2?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 ÷ 5 × 16?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 16 − 9 ÷ 16?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 19 + 2 ÷ 3?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 4 + 4 × 7?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 5 + 4 − 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 11 ÷ 15 × 17?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 4 + 7 × 16?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 × 10 − 20?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 + 6 − 14?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 × 19 + 13?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 14 − 12 + 3?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 16 + 4 × 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 2 − 11 + 2?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 11 ÷ 6 − 3 + 3?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 10 ÷ 11 × 16?

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