Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 304 · 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 ÷ 3 − 8 × 14?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 20 + 4 − 16 ÷ 10?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 10 ÷ 2 × 4?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 14 − 6 × 14?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 + 9 ÷ 10 × 5?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 10 × 10?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 13 × 5 − 12 ÷ 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 14 ÷ 18 − 12?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 18 − 12 ÷ 18?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 6 ÷ 19 − 17?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 6 − 10 ÷ 20?
12. 12.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 14 + 7 ÷ 14?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 ÷ 16 + 13?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 17 ÷ 6 × 8?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 × 8 − 14 + 4?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 6 × 3 ÷ 3 + 13?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 16 × 8 − 10?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 6 × 2 + 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 3 ÷ 14 × 9?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 2 − 11 × 2?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 8 − 7 + 2?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 4 ÷ 3 × 5 − 8?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 9 × 12 + 4?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 7 + 2 × 6?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 ÷ 4 + 2?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 − 6 + 6 ÷ 13?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 3 − 3 ÷ 4 × 15?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 12 − 8 × 8?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 16 − 4 ÷ 3?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 2 + 6 ÷ 18?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 6 × 8 ÷ 14?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 6 ÷ 20 × 6?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 3 + 3 − 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 18 × 4 ÷ 4?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 12 + 8 ÷ 7?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 2 + 2 − 2?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 7 + 7 ÷ 5?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 16 + 3 ÷ 8?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 5 ÷ 19 + 12?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 15 ÷ 20 − 13?

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