Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 521 · 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 13 + 10 × 5 − 16?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 17 × 7 ÷ 9 + 11?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 9 × 7 − 13?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 13 − 4 ÷ 17?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 3 − 13 + 6?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 + 12 ÷ 11 − 12?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 3 ÷ 9 − 4?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 19 × 14 − 7 + 20?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 20 ÷ 6 × 19?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 8 × 15 − 14 + 5?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 − 13 + 4 × 4?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 12 + 3 ÷ 15 × 16?
13. 13.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 13 − 12 ÷ 9?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 17 × 18 + 2?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 16 × 3 ÷ 11?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 × 3 − 5 ÷ 5?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 12 × 6 ÷ 12?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 18 × 8 + 8?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 20 + 5 × 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 9 + 9 − 9?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 3 − 3 + 3?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 19 + 19 × 7 ÷ 20?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 10 − 13 + 10?
24. 24.If + means ×, − means ÷, × means + and ÷ means −, what is 6 − 6 × 19 ÷ 3?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 5 − 12 × 17?
26. 26.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 2 − 2 + 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 14 × 2 − 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 4 + 10 ÷ 14?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 12 − 16 × 8?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 19 − 19 ÷ 11?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 12 + 13 ÷ 2?
32. 32.If + means ÷, − means ×, × means + and ÷ means −, what is 12 − 11 × 15 ÷ 16?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 + 2 − 8 ÷ 16?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 13 × 9 ÷ 8 − 4?
35. 35.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 − 2 ÷ 16 + 8?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 13 − 16 ÷ 19 × 9?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 8 ÷ 18 × 7 − 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 16 + 6 × 12 ÷ 3?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 6 ÷ 4 + 14?
40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 16 + 8 ÷ 15?

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