Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 756 · 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 19 ÷ 18 + 9 × 13?
2. 2.If + means ÷, − means ×, × means − and ÷ means +, what is 10 − 9 + 9 × 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 8 + 6 ÷ 16 × 16?
4. 4.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 3 + 4 ÷ 16?
5. 5.If + means −, − means ÷, × means + and ÷ means ×, what is 18 × 4 ÷ 16 − 16?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 11 + 2 ÷ 4?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 18 − 3 + 15?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 3 − 6 ÷ 15?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 6 − 20 × 12?
10. 10.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 + 20 ÷ 13 − 11?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 ÷ 8 + 17?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 15 × 17 − 17?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 6 ÷ 15 × 2?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 × 2 ÷ 13 − 7?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 18 ÷ 3 × 17?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 5 ÷ 20 + 10 − 2?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 15 − 3 × 7?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 3 ÷ 11 + 20?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 + 6 × 2 − 10?
20. 20.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 17 − 4 + 17?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 15 ÷ 8 × 7 − 3?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 16 ÷ 8 × 12?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 15 ÷ 16 × 15?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 13 × 6 ÷ 15 − 17?
25. 25.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 8 − 14 ÷ 10?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 15 − 9 × 9?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 2 − 6 × 12?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 6 + 4 × 14?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 5 + 9 ÷ 11 × 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 11 − 16 × 3 ÷ 14?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 16 + 8 − 5 × 4?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 11 − 7 × 20?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 19 × 17 − 10 + 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 16 × 14 ÷ 15 − 8?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 × 2 + 18 − 19?
36. 36.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 × 5 + 9 − 10?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 18 ÷ 20 × 13?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 3 − 20 + 2?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 11 × 12 ÷ 4 + 18?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 13 × 2 ÷ 16?

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