Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 647 · 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 ÷ 6 + 6 − 4?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 18 × 8 − 10?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 9 + 16 × 4?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 15 × 15 + 20?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 13 + 3 ÷ 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 6 × 6 ÷ 4?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 2 + 16 ÷ 16?
8. 8.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 15 − 13 × 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 8 − 20 ÷ 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 ÷ 4 − 20 + 5?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 4 + 19 ÷ 16?
12. 12.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 11 ÷ 10 + 20?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 5 − 10 + 20?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 2 − 15 ÷ 3?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 2 − 7 + 9?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 16 − 2 × 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 + 11 × 2?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 8 ÷ 16 − 14?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 17 − 17 ÷ 5 + 14?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 6 × 8 ÷ 17?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 7 ÷ 14 − 12 × 9?
22. 22.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 + 10 − 7 ÷ 6?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 − 8 ÷ 2?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 2 ÷ 20 × 2?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 14 ÷ 10 × 13?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 10 + 2 − 9 × 6?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 18 ÷ 18 + 8?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 11 + 6 ÷ 16 × 15?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 × 15 ÷ 19?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 11 × 17 ÷ 12 + 3?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 12 + 8 × 8?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 15 + 19 ÷ 19?
33. 33.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 8 × 14 + 17?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 9 × 17 ÷ 6 − 7?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 10 + 7 ÷ 19 × 8?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 14 ÷ 17 × 11?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 9 + 4 ÷ 4?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 5 × 12 + 3?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 12 × 7 + 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 4 + 8 ÷ 8?

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