Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 580 · 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 5 + 4 × 2 ÷ 10?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 20 ÷ 13 − 15?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 9 × 3 − 2?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 10 × 6 + 2?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 6 + 15 × 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 10 ÷ 2 − 4?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 17 ÷ 11 × 19?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 ÷ 16 − 11 + 17?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 13 × 16 + 16?
10. 10.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 × 16 ÷ 17 + 4?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 18 × 4 − 9?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 16 + 16 ÷ 11?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 ÷ 4 + 4?
14. 14.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 5 × 3 ÷ 5?
15. 15.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 9 − 14 × 11?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 14 ÷ 16 × 14?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 20 + 20 × 19?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 10 × 4 + 9?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 18 + 18 × 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 12 × 11 ÷ 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 13 × 9 − 7?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 11 − 19 + 9?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 7 × 16 + 15 ÷ 3?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 13 × 20 + 4?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 11 − 11 × 6?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 3 − 16 × 20?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 9 × 12 − 3?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 2 − 7 ÷ 10 × 10?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 6 ÷ 11 × 17?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 4 ÷ 15 − 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 ÷ 5 − 3 + 18?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 4 × 11 − 18?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 15 ÷ 20 − 8 × 2?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 13 ÷ 6 × 8?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 15 + 13 ÷ 2 × 4?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 9 − 3 ÷ 6 + 4?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 17 ÷ 13 + 5?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 18 − 7 × 13?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 20 × 11 ÷ 13?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 7 ÷ 3 + 11?

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