Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 510 · 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 16 − 4 × 18 ÷ 15?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 20 − 5 × 10?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 − 8 ÷ 12 + 17?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 9 × 6 ÷ 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 15 × 5 − 13?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 7 − 20 ÷ 14?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 3 + 10 ÷ 3?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 × 2 − 19?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 10 ÷ 7 × 4?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 4 ÷ 12 × 3?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 7 × 10 + 8?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 2 − 5 ÷ 10?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 8 × 5 − 9 ÷ 10?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 17 + 2 − 13?
15. 15.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 4 ÷ 7 + 11?
16. 16.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 9 + 16 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 17 + 3 ÷ 9?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 6 × 18 ÷ 8?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 × 3 + 17 ÷ 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 × 5 ÷ 7 − 5?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 11 ÷ 2 + 5?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 5 ÷ 20 − 9?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 20 − 13 + 16?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 4 ÷ 5 × 17?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 9 + 18 × 7?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 6 ÷ 8 × 5?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 16 + 18 ÷ 6?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 8 × 18 + 2?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 17 × 17 ÷ 14?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 5 + 16 − 2 × 19?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 15 ÷ 16 × 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 11 + 17 × 17?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 15 − 6 + 18?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 14 × 12 + 2 − 14?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 13 + 11 − 11?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 4 × 10 + 5?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 + 2 ÷ 4?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 16 × 4 ÷ 14?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 15 − 6 × 11?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 14 + 2 − 9?

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