Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 213 · 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 9 + 5 ÷ 8 × 13?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 3 ÷ 10 − 5?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 4 + 3 × 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 7 ÷ 7 + 20?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 10 ÷ 14 + 3?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 13 − 4 ÷ 14?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 15 + 17 ÷ 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 3 − 2 × 14?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 15 × 14 ÷ 11?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 3 ÷ 13 × 4?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 10 × 15 ÷ 15?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 4 × 5 ÷ 5?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 3 × 10 ÷ 19?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 ÷ 6 + 16?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 15 − 6 × 9?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 3 ÷ 11 − 6?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 10 − 13 ÷ 4?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 17 × 16 − 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 5 × 10 + 3?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 9 ÷ 10 × 9?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 2 ÷ 11 × 15?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 8 × 8 + 8?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 8 ÷ 11?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 × 6 − 17?
25. 25.If + means ×, − means ÷, × means − and ÷ means +, what is 8 ÷ 10 + 3 × 3?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 6 − 14 × 6?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 11 ÷ 4 − 16?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 15 − 2 ÷ 19?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 17 − 8 + 15?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 7 ÷ 12 × 8?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 15 × 19 ÷ 18?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 13 ÷ 13 × 17?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 6 × 19 ÷ 4?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 20 × 4 ÷ 18?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 14 + 6 × 4?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 6 × 16 ÷ 5?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 17 ÷ 11 × 3?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 6 − 2 ÷ 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 4 ÷ 7 + 20?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 20 × 12 − 3?

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