Symbol Substitution Worksheet

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

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