Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 418 · 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 10 ÷ 9 + 9 × 13?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 16 × 11 + 13?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 6 × 2 − 10?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 7 + 7 × 4?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 − 10 ÷ 3 + 2?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 6 × 6 − 9?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 17 ÷ 6 × 8?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 ÷ 2 + 12?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 14 ÷ 6 − 6?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 4 + 5 ÷ 8?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 10 × 7 ÷ 5?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 2 + 9 × 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 16 + 8 ÷ 19?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 6 − 6 + 11?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 4 − 12 × 9?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 2 × 16 − 9?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 18 ÷ 12 × 2?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 20 + 2 ÷ 10?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 16 − 12 ÷ 16?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 3 + 3 × 7?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 9 + 17 × 17?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 10 ÷ 2 × 18?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 5 + 4 × 2?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 4 × 15 ÷ 8?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 2 × 7 + 2?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 9 − 5 × 6?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 7 − 7 × 6 + 6?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 18 + 20 × 5 ÷ 8?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 4 − 7 × 9?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 15 ÷ 6 × 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 15 ÷ 15 × 15?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 16 − 10 × 19?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 7 × 17 − 5?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 10 + 5 × 20 ÷ 20?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 15 + 3 − 3 ÷ 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 10 ÷ 20 × 10?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 6 ÷ 3 × 8?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 4 + 19 ÷ 4?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 13 ÷ 4 + 6?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 20 ÷ 9 + 14?

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