Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 160 · 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 5 ÷ 6 + 8 − 4?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 17 ÷ 2 + 17?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 20 + 9 × 12?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 4 ÷ 13 × 7 + 19?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 − 9 ÷ 5 + 20?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 5 − 10 ÷ 2?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 19 × 11 ÷ 3?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 16 + 11 − 4?
9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 7 ÷ 8 − 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 ÷ 10 − 10 × 8?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 7 × 18 + 2?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 13 − 14 ÷ 15?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 18 − 20 × 20?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 4 × 10 + 10?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 − 14 + 2 ÷ 18?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 12 ÷ 11 − 14?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 7 × 20 ÷ 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 13 − 16 × 5 ÷ 7?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 10 − 11 + 11?
20. 20.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 17 + 5 × 17?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 × 2 + 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 4 ÷ 19 × 8?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 ÷ 18 − 13 + 11?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 12 ÷ 14 × 15?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 14 × 14 − 7 + 12?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 17 ÷ 20 + 20 × 10?
27. 27.If + means ÷, − means ×, × means − and ÷ means +, what is 18 × 8 − 3 ÷ 11?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 7 + 3 − 4?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 7 ÷ 11 × 6 − 10?
30. 30.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 5 − 7 ÷ 4?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 4 ÷ 10 × 7?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 15 ÷ 15 − 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 16 − 4 ÷ 19?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 8 ÷ 2 × 14 + 19?
35. 35.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 18 ÷ 7 − 7?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 2 × 7 − 5 ÷ 6?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 × 2 − 4 + 12?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 − 11 ÷ 18?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 13 + 12 − 13?
40. 40.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 14 ÷ 7 − 14?

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