Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 792 · 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 20 × 10 − 7 + 6?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 11 ÷ 2 + 6?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 4 + 14 × 7?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 3 + 3 × 10?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 − 5 + 18 ÷ 11?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 18 + 3 − 18?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 3 ÷ 4 × 4?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 7 − 3 × 13?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 7 × 19 − 11?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 20 × 19 ÷ 13?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 18 + 9 ÷ 3?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 10 ÷ 14 × 19?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 6 ÷ 8 × 3?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 19 − 8 + 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 3 ÷ 7 + 14?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 4 − 4 ÷ 3?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 2 − 12 + 4?
18. 18.If + means ÷, − means +, × means − and ÷ means ×, what is 11 − 10 ÷ 15 × 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 2 − 11 ÷ 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 11 × 6 + 3 ÷ 19?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 6 × 17 − 3 ÷ 4?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 ÷ 15 + 16?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 × 6 − 3?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 17 ÷ 11 × 10?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 9 − 4 × 6?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 4 ÷ 20 + 20?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 4 × 16 + 17?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 × 15 + 3?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 19 − 18 + 18?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 11 + 12 ÷ 12?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 − 5 ÷ 8?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 8 − 6 + 11?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 16 + 2 − 9?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 ÷ 9 − 8 + 8?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 + 7 × 8?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 8 × 8 + 11?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 11 − 19 × 18?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 ÷ 5 × 12?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 3 − 17 × 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 20 ÷ 13 + 5?

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