Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 565 · 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 2 + 2 ÷ 2 − 8?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 13 + 13 × 5 ÷ 15?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 14 ÷ 8 − 18?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 18 × 3 ÷ 11?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 18 − 10 ÷ 10 × 15?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 12 × 3 ÷ 9?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 17 − 8 × 4?
8. 8.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 − 7 ÷ 4?
9. 9.If + means ÷, − means +, × means − and ÷ means ×, what is 9 − 11 ÷ 18 × 19?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 5 ÷ 4 − 2?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 6 ÷ 3 × 18?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 20 + 8 − 10?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 8 × 20 − 2?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 12 ÷ 20 + 3?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 10 × 10 − 20?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 17 + 2 × 12?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 3 − 8 × 17?
18. 18.If + means −, − means +, × means ÷ and ÷ means ×, what is 11 × 11 − 19 ÷ 10?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 7 × 12 + 3 ÷ 4?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 16 − 16 ÷ 12?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 4 ÷ 20 × 8 + 3?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 13 + 7 ÷ 16?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 ÷ 10 + 8 × 15?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 16 × 3 − 6?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 18 × 2 ÷ 10?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 5 − 18 + 9?
27. 27.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 + 2 − 3 ÷ 8?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 4 ÷ 17 − 15 × 5?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 + 16 − 18 ÷ 4?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 4 ÷ 20 × 18 + 13?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 9 ÷ 16 × 10?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 11 + 18 ÷ 4?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 15 ÷ 9 + 9 − 9?
34. 34.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 6 × 6 + 6?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 − 20 + 20 ÷ 10?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 ÷ 8 × 2?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 19 ÷ 7 + 19?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 8 + 4 × 9 − 19?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 11 − 15 + 18?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 2 × 4 + 8?

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