Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 350 · 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 10 − 2 × 3 ÷ 18?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 16 ÷ 6 + 2 × 12?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 17 ÷ 6 × 6?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 6 ÷ 4 × 19?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 6 + 6 − 5?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 15 ÷ 9 × 8 + 7?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 11 + 3 ÷ 6?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 15 + 5 × 14?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 16 × 2 ÷ 17?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 5 − 10 ÷ 6?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 4 × 20 − 5?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 18 × 17 − 10?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 4 × 9 − 2?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 − 4 + 4 ÷ 8?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 20 + 6 − 6 × 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 18 − 13 ÷ 20?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 2 + 9 × 16 − 2?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 16 × 5 ÷ 2?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 14 + 7 ÷ 19?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 2 ÷ 6 × 7 + 11?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 20 × 5 ÷ 20 − 10?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 16 × 6 + 12?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 4 ÷ 6 × 20?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 6 × 11 ÷ 15?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 18 − 11 ÷ 10?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 8 − 12 ÷ 5?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 19 − 11 + 2?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 16 + 15 − 16?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 5 ÷ 5 + 3?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 5 − 9 ÷ 3?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 16 ÷ 13 − 6?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 2 × 19 ÷ 10?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 14 − 16 + 20?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 2 − 5 ÷ 11?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 13 + 9 ÷ 9?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 8 × 2 ÷ 11?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 3 + 7 × 4?
38. 38.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 ÷ 13 − 14 + 3?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 12 + 14 − 2?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 20 × 10 ÷ 2?

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