Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 52 · 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 6 ÷ 4 − 10 × 16?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 8 ÷ 6 − 9?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 13 ÷ 15 − 15?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 13 + 13 × 3?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 18 ÷ 9 − 7?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 19 + 4 × 9?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 10 − 5 + 19 × 5?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 16 − 4 + 15?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 18 + 18 − 4 × 5?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 5 ÷ 10 + 3?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 18 ÷ 9 − 7?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 ÷ 15 + 2 − 6?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 6 + 6 ÷ 2 × 4?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 18 + 10 × 16?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 5 − 18 + 6?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 7 ÷ 6 + 6?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 × 3 − 20 + 17?
18. 18.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 4 ÷ 3 − 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 10 ÷ 4 − 12?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 12 + 12 × 2?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 8 × 2 ÷ 18?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 10 − 5 ÷ 4?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 5 ÷ 2 − 17?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 ÷ 15 + 13 − 11?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 16 × 12 ÷ 8 + 13?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 ÷ 16 + 6?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 18 − 2 × 18?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 12 − 12 × 10?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 20 × 12 + 2 − 8?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 2 ÷ 19 × 4?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 8 × 4 ÷ 19?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 8 × 2 ÷ 2?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 4 ÷ 16 × 17 − 4?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 2 − 6 ÷ 19?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 11 + 11 − 10?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 17 ÷ 4 − 16?
37. 37.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 6 × 18 ÷ 8?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 12 + 6 × 3?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 11 ÷ 12 × 6 + 2?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 18 × 8 + 11?

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