Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 955 · 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 ÷ 20 − 3 + 17?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 ÷ 3 + 4 − 13?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 6 ÷ 20 − 5?
4. 4.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 − 6 + 6 ÷ 17?
5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 16 − 3 + 3?
6. 6.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 12 ÷ 12 − 8?
7. 7.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 18 − 7 × 20?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 3 ÷ 5 × 3?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 5 × 6 ÷ 16?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 15 ÷ 18 × 4?
11. 11.If + means ×, − means ÷, × means − and ÷ means +, what is 18 − 6 × 12 ÷ 13?
12. 12.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 ÷ 15 + 6 − 2?
13. 13.If + means ÷, − means ×, × means − and ÷ means +, what is 16 − 3 × 3 ÷ 14?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 10 × 4 − 2 + 16?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 15 ÷ 16 − 18?
16. 16.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 7 ÷ 16 × 15?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 19 − 4 × 19?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 14 + 5 ÷ 11?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 11 + 19 × 17 ÷ 15?
20. 20.If + means ÷, − means ×, × means − and ÷ means +, what is 6 × 11 ÷ 9 − 9?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 5 + 6 × 18?
22. 22.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 3 ÷ 4 − 19?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 19 × 19 − 5?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 14 − 3 × 8?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 ÷ 7 + 3 × 3?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 2 − 20 + 10?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 12 × 3 ÷ 10?
28. 28.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 2 − 15 ÷ 6?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 ÷ 20 + 3 − 6?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 3 − 16 × 13 ÷ 15?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 18 ÷ 5 − 5 × 19?
32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 7 − 6 × 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 + 6 ÷ 7 − 17?
34. 34.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 + 11 ÷ 8 − 10?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 7 ÷ 11 − 3?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 2 × 4 − 18?
37. 37.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 16 − 2 × 18?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 12 − 19 ÷ 4 + 4?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 19 × 14 ÷ 15 + 15?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 3 ÷ 2 − 15?

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