Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 841 · 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 + 6 − 20 × 20?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 6 + 6 − 15?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 2 ÷ 2 × 12?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 14 × 2 + 11?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 6 + 2 − 2?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 − 6 + 14 ÷ 8?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 19 + 6 × 5?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 3 × 11 ÷ 19?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 13 × 8 − 17?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 7 − 18 ÷ 7?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 17 × 8 ÷ 16?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 9 ÷ 8 + 7?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 16 − 20 × 13?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 ÷ 2 − 20 + 9?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 15 × 6 ÷ 18?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 7 ÷ 6 × 3?
17. 17.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 6 ÷ 3 × 3?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 4 + 3 ÷ 10?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 10 ÷ 4 − 14?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 13 + 19 × 18?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 11 ÷ 13 + 14?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 16 + 8 × 4?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 16 ÷ 4 + 14?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 20 ÷ 20 − 20?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 18 + 19 − 13?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 10 ÷ 5 − 9?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 3 + 8 × 4?
28. 28.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 7 ÷ 20 × 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 11 + 15 ÷ 2?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 10 − 4 ÷ 8?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 8 − 6 ÷ 3?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 8 − 3 × 13?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 − 6 + 14 ÷ 13?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 13 ÷ 11 − 6?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 2 × 20 + 5?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 19 ÷ 12 × 18?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 16 ÷ 10 + 16?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 2 × 5 + 13?
39. 39.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 − 5 ÷ 4 + 9?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 15 − 9 × 10?

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