Symbol Substitution Worksheet

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

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