Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 173 · 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 × 9 ÷ 19 + 19?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 11 − 12 × 8?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 3 × 15 + 5?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 + 3 ÷ 2 − 3?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 7 − 15 ÷ 7 × 18?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 11 ÷ 4 × 7?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 + 20 × 11?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 17 × 18 + 7?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 15 − 20 × 13?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 8 ÷ 18 + 3?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 10 × 18 ÷ 5?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 12 − 2 × 9 ÷ 12?
13. 13.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 12 + 6 ÷ 5?
14. 14.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 11 − 13 ÷ 18?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 17 ÷ 10 + 3?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 5 ÷ 11 × 10?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 19 + 3 × 10?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 4 ÷ 20 × 7?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 4 × 18 + 13?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 ÷ 12 + 17 − 5?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 13 + 3 × 19?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 5 × 6 ÷ 10 − 5?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 8 × 8 ÷ 7?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 9 + 15 ÷ 4?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 12 − 14 ÷ 7?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 2 ÷ 9 × 10?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 14 + 2 × 2?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 6 − 14 ÷ 13 × 5?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 4 − 7 + 17?
30. 30.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 6 ÷ 16 × 8?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 16 − 9 × 18?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 20 − 15 × 8?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 − 20 × 5 ÷ 13?
34. 34.If + means ×, − means ÷, × means + and ÷ means −, what is 14 × 9 + 17 − 9?
35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 14 + 2 ÷ 11 − 6?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 20 × 19 ÷ 3?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 17 × 17 ÷ 18?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 20 × 9 + 17?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 9 − 19 × 15?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 14 × 10 + 2?

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