Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 110 · 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 − 14 + 12 × 6?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 6 − 20 + 2?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 20 × 10 + 12?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 19 × 4?
5. 5.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 3 + 3 × 6?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 4 + 12 ÷ 15?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 2 + 7 × 18?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 ÷ 17 + 2?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 + 8 ÷ 11 × 8?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 20 − 7 + 6?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 6 ÷ 17 + 18?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 13 − 19 + 3?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 7 − 20 × 11?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 ÷ 15 − 4?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 13 × 2 + 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 15 × 10 + 3?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 12 × 6 − 3?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 10 ÷ 16 × 16?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 ÷ 4 − 19 + 10?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 5 × 20 + 6?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 18 × 3 − 2?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 16 ÷ 7 + 5?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 ÷ 13 × 20 + 4?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 17 + 11 ÷ 3?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 − 20 × 5 ÷ 3?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 10 ÷ 10 + 2?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 7 + 7 × 3?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 ÷ 7 − 19?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 9 × 11 + 11?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 7 + 4 × 15?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 ÷ 2 + 11 × 11?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 4 − 20 ÷ 20 × 15?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 4 ÷ 9 − 2?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 2 − 4 ÷ 7?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 6 ÷ 17 − 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 3 × 2 ÷ 8?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 6 + 13 × 18?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 2 × 20 + 14?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 9 × 4 + 4?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 10 × 6 ÷ 14?

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