Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 559 · 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 2 ÷ 6 + 3 − 3?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 + 2 ÷ 10 − 18?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 13 − 2 ÷ 15?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 7 − 10 + 3?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 19 × 14 + 2?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 × 2 + 6 − 15?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 3 ÷ 2 − 19 + 19?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 14 − 14 + 17?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 2 − 8 ÷ 9 × 2?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 18 − 6 × 15?
11. 11.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 6 + 20 ÷ 6?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 4 × 9 ÷ 5?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 + 15 − 10 ÷ 15?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 − 4 × 2 + 5?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 + 20 ÷ 6 − 11?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 15 − 19 ÷ 19?
17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 × 2 + 9?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 4 ÷ 3 − 18?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 20 + 18 ÷ 7?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 4 ÷ 4 × 3?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 12 − 3 × 15?
22. 22.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 9 − 10 ÷ 4?
23. 23.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 10 × 2 ÷ 19?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 3 + 3 − 18 × 5?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 5 ÷ 6 × 15?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 18 + 8 ÷ 18?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 14 − 7 × 20?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 16 × 2 + 17?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 17 ÷ 8 − 14?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 10 − 18 ÷ 12?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 16 + 2 × 12 ÷ 7?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 14 + 7 ÷ 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 16 − 15 ÷ 6?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 15 ÷ 2 + 5?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 17 ÷ 12 × 2?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 2 ÷ 12 − 20?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 6 + 6 × 13?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 5 ÷ 16 × 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 10 ÷ 6 + 9?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 3 ÷ 10 − 5?

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