Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 847 · 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 7 × 20 − 9 ÷ 4?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 11 ÷ 6 × 20 + 20?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 20 + 20 − 19?
4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 × 4 ÷ 9 + 14?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 20 + 20 ÷ 9?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 2 − 2 × 7?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 14 − 13 ÷ 20?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 5 + 7 ÷ 8?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 ÷ 18 + 20 − 11?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 5 + 18 − 5?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 × 18 ÷ 13?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 15 + 4 × 4?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 10 + 11 ÷ 4?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 4 − 16 ÷ 12?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 16 × 5 ÷ 3?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 8 × 4 ÷ 6?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 15 + 5 ÷ 8?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 14 ÷ 6 × 3 + 2?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 14 − 14 ÷ 6?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 4 ÷ 19 − 15?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 13 + 5 ÷ 4?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 19 ÷ 17 + 19?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 3 × 15 − 2?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 − 8 ÷ 5 + 4?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 15 × 18 + 13 ÷ 19?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 13 × 13 ÷ 3?
27. 27.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 6 + 2 − 4?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 12 ÷ 13 − 13?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 3 × 4 ÷ 12?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 6 + 2 × 13?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 14 ÷ 18 × 16 + 8?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 14 ÷ 11 × 20?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 17 × 12 ÷ 5 + 6?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 14 ÷ 6 + 6 × 2?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 3 + 3 × 13?
36. 36.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 16 ÷ 14 × 2?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 10 ÷ 18 + 6 − 4?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 6 + 14 ÷ 5?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 18 − 15 + 10?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 9 + 12 × 9?

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