Symbol Substitution Worksheet

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

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