Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 601 · 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 2 − 20 × 2 + 18?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 6 + 13 × 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 8 + 6 ÷ 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 8 × 6 + 8?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 11 + 20 ÷ 7?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 × 19 + 11?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 10 ÷ 12 − 7?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 4 − 12 × 12?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 × 6 ÷ 14?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 12 ÷ 12 × 17?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 2 − 11 + 18?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 ÷ 4 + 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 17 − 17 × 7?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 14 ÷ 16 + 15?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 13 × 3 ÷ 7?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 6 × 6 ÷ 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 5 ÷ 19 − 15?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 4 − 11 ÷ 18?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 13 − 10 ÷ 9?
20. 20.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 8 − 16 + 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 17 + 17 ÷ 20?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 20 × 13 ÷ 10?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 18 × 19 + 19?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 19 − 15 ÷ 20?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 14 − 6 + 14?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 3 ÷ 2 × 4?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 10 ÷ 9 × 2?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 4 − 4 ÷ 3?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 12 + 8 ÷ 19?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 × 12 ÷ 9?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 7 ÷ 14 + 14?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 × 3 ÷ 7 + 6?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 ÷ 11 + 18 × 6?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 3 − 15 ÷ 20?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 11 ÷ 20 × 19?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 5 ÷ 7 × 7?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 11 × 20 + 15?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 5 − 12 + 20?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 11 ÷ 20 × 5?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 9 − 18 + 2?

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