Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 209 · 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 ÷ 7 + 13 × 7?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 16 − 5 × 5?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 2 ÷ 13 × 7?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 6 − 3 ÷ 3?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 + 4 ÷ 4 − 10?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 6 − 11 × 3?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 14 ÷ 14 + 7?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 11 ÷ 18 − 10?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 12 + 10 ÷ 8?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 3 × 11 − 5?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 4 × 7 ÷ 3?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 8 + 3 ÷ 15?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 8 − 8 ÷ 7?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 19 ÷ 17 × 12 + 8?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 19 × 3 ÷ 2?
16. 16.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 4 − 20 ÷ 17?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 9 × 10 ÷ 2?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 8 − 3 + 9?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 − 4 + 15 ÷ 16?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 18 ÷ 16 × 20?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 5 ÷ 2 + 3?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 − 11 × 13?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 2 × 2 − 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 20 + 4 − 18?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 2 − 9 + 3?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 2 × 15 ÷ 4?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 6 − 10 × 5?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 + 20 × 8?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 19 ÷ 15 × 11?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 13 × 15 + 14?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 3 ÷ 17 + 3?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 17 × 7 ÷ 3?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 ÷ 16 − 10 + 2?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 13 + 16 × 8?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 8 + 9 ÷ 11?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 7 + 7 − 2 ÷ 19?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 3 × 8 ÷ 19?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 20 − 18 ÷ 14?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 2 + 3 − 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 2 ÷ 3?

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