Symbol Substitution Worksheet

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

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