Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 235 · 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 × 14 + 10 − 10?
2. 2.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 9 − 7 ÷ 4?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 × 8 ÷ 5?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 16 ÷ 13 + 11?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 14 × 10 ÷ 17?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 7 × 15 ÷ 12?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 7 + 2 ÷ 19?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 20 + 3 − 8?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 12 ÷ 13 − 12?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 14 ÷ 12 − 8?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 11 × 3 + 5?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 9 + 15 × 11?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 3 + 7 × 3?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 5 ÷ 9 + 15?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 + 16 − 15?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 6 ÷ 15 + 18?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 12 − 6 × 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 15 + 5 − 3?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 19 − 5 + 11?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 16 ÷ 9 × 13?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 5 ÷ 4 × 7?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 20 ÷ 8 × 5?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 18 − 6 × 3?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 5 × 20 − 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 ÷ 2 + 9?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 11 ÷ 15 × 5?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 16 + 17 − 4?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 8 − 12 + 17?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 10 ÷ 6 + 10?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 × 12 ÷ 7?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 20 × 8 + 9?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 16 × 9 − 17?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 16 ÷ 3 × 13?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 ÷ 13 − 7?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 17 × 18 + 18?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 15 − 4 + 3?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 10 + 10 × 13?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 ÷ 13 + 7?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 20 + 3 − 6?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 7 ÷ 5 − 20?

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