Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 420 · 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 + 12 × 12 ÷ 6?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 8 + 12 × 2 ÷ 11?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 × 6 ÷ 15 + 18?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 20 × 5 + 4 ÷ 12?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 10 + 5 × 19?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 16 × 14 − 15 ÷ 17?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 9 − 2 × 17?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 12 − 6 + 8?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 19 − 2 × 7?
10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 8 − 8 ÷ 18 × 10?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 + 6 − 7 ÷ 20?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 7 − 11 ÷ 15?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 15 − 6 + 15?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 12 − 3 ÷ 10?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 4 ÷ 6 + 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 13 ÷ 13 × 8 + 8?
17. 17.If + means ÷, − means +, × means − and ÷ means ×, what is 15 ÷ 8 × 19 − 13?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 5 + 3 × 11 − 11?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 3 ÷ 18 − 4?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 9 × 18 ÷ 14?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 − 4 ÷ 10 × 10?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 7 − 11 + 4?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 9 − 3 + 10 ÷ 7?
24. 24.If + means −, − means ÷, × means + and ÷ means ×, what is 8 + 18 × 6 ÷ 7?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 11 ÷ 3 − 9 + 4?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 − 7 ÷ 4 + 11?
27. 27.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 15 ÷ 6 − 9?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 16 × 6 ÷ 4?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 2 × 7 ÷ 18 + 10?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 13 + 5 ÷ 10?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 18 × 10 ÷ 13?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 18 × 10 ÷ 2?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 − 5 × 10?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 8 + 2 − 7?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 13 × 13 ÷ 19?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 14 − 14 ÷ 20 + 6?
37. 37.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 + 6 × 10?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 16 × 4 − 4?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 16 − 8 × 6 ÷ 18?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 16 − 4 + 4?

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