Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 954 · 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 13 − 13 ÷ 10 × 13?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 16 ÷ 15 × 3?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 9 + 13 ÷ 6 × 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 17 − 10 + 17?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 10 − 8 + 6?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 13 ÷ 5 − 6?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 20 ÷ 2 × 10?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 ÷ 16 × 6 − 10?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 5 − 10 + 16?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 14 − 12 ÷ 19?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 + 19 ÷ 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 7 − 20 + 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 5 − 18 × 5?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 10 + 8 × 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 2 − 2 ÷ 10?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 20 − 4 × 3?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 19 − 2 × 14?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 17 ÷ 10 − 10?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 10 + 10 × 18?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 16 − 20 + 7?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 ÷ 16 − 14?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 11 − 11 + 15 × 20?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 × 18 − 15?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 − 16 ÷ 3?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 5 − 16 × 12?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 12 − 8 + 3?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 5 − 12 + 6?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 9 + 7 ÷ 8?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 3 × 11 ÷ 19?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 13 × 18 − 2?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 2 − 5 ÷ 7?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 + 17 − 4 ÷ 10?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 − 13 ÷ 14?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 2 − 7 + 15?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 15 − 5 + 2?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 16 + 5 − 5?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 9 × 2 ÷ 16 − 8?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 − 14 ÷ 8?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 3 + 15 − 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 9 ÷ 12 + 18?

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