Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 771 · 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 9 × 3 − 6 + 6?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 9 + 13 − 2?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 13 − 10 + 10?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 + 13 ÷ 12?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 14 − 8 + 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 15 ÷ 6 × 6?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 4 ÷ 7 + 3?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 2 − 16 ÷ 4?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 17 ÷ 4 + 17 × 3?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 × 8 − 18 + 17?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 × 20 − 4 ÷ 11?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 3 − 16 + 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 3 − 16 ÷ 3?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 10 ÷ 20 + 3 × 7?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 9 ÷ 3 − 14?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 18 ÷ 2 + 11?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 2 − 3 + 10?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 13 × 14 ÷ 17?
19. 19.If + means ÷, − means +, × means − and ÷ means ×, what is 12 ÷ 6 + 4 − 12?
20. 20.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 5 × 11 ÷ 19?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 ÷ 20 − 17 + 14?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 7 + 8 ÷ 13?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 + 2 ÷ 19 − 18?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 14 + 2 ÷ 7 − 15?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 3 ÷ 18 × 18 + 10?
26. 26.If + means ÷, − means +, × means − and ÷ means ×, what is 17 × 10 − 5 ÷ 18?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 11 + 18 ÷ 14?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 − 3 × 13?
29. 29.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 9 ÷ 6 + 3?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 + 15 × 17?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 6 ÷ 6 + 17?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 20 − 2 ÷ 7?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 10 + 5 − 13 × 8?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 15 − 7 × 7?
35. 35.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 9 + 6 ÷ 2?
36. 36.If + means ÷, − means ×, × means + and ÷ means −, what is 18 + 6 − 2 × 15?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 9 − 9 × 3 ÷ 2?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 9 × 13 − 6 ÷ 7?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 9 ÷ 13 − 12?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 20 × 6 ÷ 16?

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