Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 658 · 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 18 + 9 − 19 × 2?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 7 + 13 ÷ 9?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 × 13 ÷ 15?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 20 × 12 − 4?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 8 − 16 × 4?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 9 − 4 × 12 ÷ 3?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 16 ÷ 19 × 15?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 7 × 15 + 5?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 19 × 10 ÷ 2?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 8 − 6 × 15?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 20 × 15 + 8?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 18 − 2 ÷ 4 + 8?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 16 − 12 + 11?
14. 14.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 5 + 3 × 19?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 7 − 10 ÷ 20?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 9 − 7 × 10?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 11 ÷ 16 + 2?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 7 ÷ 3 − 3?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 19 − 4 ÷ 17?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 4 − 8 + 4?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 3 + 3 × 5?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 7 − 20 × 20 ÷ 5?
23. 23.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 11 ÷ 11 × 11?
24. 24.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 16 ÷ 20 + 20?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 12 ÷ 2 × 12?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 11 + 16 − 4?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 17 × 6 ÷ 3?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 − 4 × 8?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 20 ÷ 15 − 20?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 7 + 15 × 5?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 19 + 19 ÷ 13 − 17?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 17 × 14 + 19?
33. 33.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 8 ÷ 12 − 8?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 16 + 19 ÷ 15?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 6 + 19 − 13?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 20 ÷ 18 − 6?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 2 ÷ 12 + 6 × 7?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 5 + 5 − 11?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 4 ÷ 7 − 9?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 20 × 13 ÷ 14?

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