Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 142 · 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 + 18 × 6 − 19?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 20 + 20 × 8 − 16?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 2 − 6 × 19?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 15 ÷ 10 + 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 11 ÷ 5 + 13?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 15 × 2 + 18?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 2 + 4 ÷ 3?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 19 − 10 ÷ 2?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 14 ÷ 20 + 10?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 11 + 11 − 6?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 − 2 × 9?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 9 × 18 ÷ 11 + 7?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 11 × 4 + 12?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 12 − 11 ÷ 10?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 − 15 ÷ 10?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 12 × 16 − 5 ÷ 20?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 2 + 10 − 6?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 13 − 16 ÷ 13?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 2 − 20 + 7?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 4 + 14 − 8?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 6 × 11 − 5?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 × 10 + 5 − 19?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 19 − 7 ÷ 18?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 3 ÷ 15 × 8?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 8 − 17 × 18 + 6?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 19 × 9 ÷ 19?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 12 ÷ 5 − 7 × 16?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 + 11 − 20 × 20?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 − 9 ÷ 6 + 3?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 12 − 6 + 16?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 20 ÷ 10 × 6?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 2 ÷ 2 × 8?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 8 − 8 ÷ 9 × 5?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 12 ÷ 5 − 16?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 15 − 15 × 20?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 12 − 2 × 7?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 12 × 15 − 10?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 20 × 17 − 6?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 18 ÷ 5 − 10?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 2 × 15 ÷ 3?

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