Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 87 · 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 12 + 18 − 3 × 13?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 12 − 12 × 2 ÷ 16?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 12 − 12 + 8?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 20 − 4 ÷ 8 × 19?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 5 ÷ 16 − 19?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 13 − 11 ÷ 14?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 18 × 13 − 20 ÷ 4?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 3 + 13 − 18?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 ÷ 2 × 20?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 × 11 ÷ 4?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 19 ÷ 20 × 9?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 8 + 4 − 2?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 7 + 14 × 15?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 − 18 + 2 ÷ 6?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 15 − 16 ÷ 16?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 4 + 2 − 10?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 × 2 − 13 ÷ 15?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 2 ÷ 18 × 20?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 ÷ 16 − 3 + 12?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 6 − 14 + 2 ÷ 2?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 19 + 19 × 3 − 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 9 ÷ 5 + 15?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 19 + 16 − 16 ÷ 7?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 4 × 3 ÷ 7?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 3 + 5 ÷ 11?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 6 × 2 ÷ 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 18 − 10 × 12?
28. 28.If + means ÷, − means +, × means − and ÷ means ×, what is 7 × 20 + 20 − 17?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 17 − 2 + 17?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 9 − 15 ÷ 12?
31. 31.If + means ×, − means ÷, × means + and ÷ means −, what is 17 ÷ 8 × 7 + 4?
32. 32.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 9 − 20 ÷ 7?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 4 + 3 ÷ 7?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 × 16 − 18 ÷ 16?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 20 + 11 ÷ 14?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 15 × 12 + 2 ÷ 11?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 9 ÷ 2 − 19?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 20 + 20 × 4?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 6 ÷ 3 − 16?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 15 + 5 − 10 ÷ 19?

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