Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 128 · 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 9 + 11 × 16 ÷ 20?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 20 ÷ 4 + 10?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 19 ÷ 16 × 18 + 9?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 3 × 10 + 18?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 4 × 17 + 8?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 7 ÷ 5 + 16?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 4 − 5 ÷ 20?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 16 × 16 ÷ 7?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 8 ÷ 20 × 10?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 9 − 9 × 2?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 3 + 2 × 7?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 ÷ 15 − 2?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 7 ÷ 2 + 7?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 2 ÷ 4 − 19?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 17 + 4 × 11?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 × 2 + 5 ÷ 9?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 18 + 2 ÷ 20?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 5 ÷ 4 + 3?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 17 ÷ 5 − 8?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 12 ÷ 5 + 5?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 − 19 ÷ 9 + 7?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 6 × 14 − 4?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 20 + 4 ÷ 2?
24. 24.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 15 − 8 ÷ 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 2 + 4 × 19?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 ÷ 4 × 19?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 2 ÷ 5 × 4?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 4 ÷ 7 × 19?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 ÷ 19 × 10?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 13 ÷ 18 − 7?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 2 ÷ 6 + 2?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 18 + 17 × 2?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 19 − 9 ÷ 8 × 5?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 13 ÷ 14 − 13 + 8?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 10 + 7 × 18?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 11 ÷ 17 + 18 − 6?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 2 ÷ 3 + 7?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 + 8 ÷ 20 − 13?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 4 × 17 − 15?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 12 ÷ 3 − 14?

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