Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 146 · 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 15 − 8 × 6 + 2?
2. 2.If + means ×, − means ÷, × means + and ÷ means −, what is 12 + 16 ÷ 17 × 20?
3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 ÷ 3 − 8 + 8?
4. 4.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 13 ÷ 5 × 19?
5. 5.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 − 18 + 5 × 9?
6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 × 3 − 8 ÷ 16?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 ÷ 7 − 3 + 7?
8. 8.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 11 × 3 ÷ 12?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 6 − 6 × 4 ÷ 5?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 5 × 2 + 2?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 3 ÷ 15 × 3?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 3 + 17 ÷ 19?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 + 16 − 10 × 20?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 + 5 ÷ 4 − 5?
15. 15.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 ÷ 9 − 10 + 11?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 6 + 6 − 9 ÷ 15?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 16 ÷ 18 + 2 − 18?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 18 − 18 + 2?
19. 19.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 7 + 5 ÷ 9?
20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 13 − 20 + 5?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 12 + 4 × 4 − 8?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 9 ÷ 8 × 4?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 ÷ 14 − 18 × 2?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 5 × 4 − 9?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 − 19 + 18 ÷ 3?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 3 + 14 × 17 ÷ 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 8 − 3 × 8?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 18 − 8 ÷ 17?
29. 29.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 14 ÷ 3 − 13?
30. 30.If + means ×, − means ÷, × means + and ÷ means −, what is 18 × 5 + 4 ÷ 15?
31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 16 − 20 + 5 × 15?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 2 − 2 ÷ 16?
33. 33.If + means ×, − means ÷, × means + and ÷ means −, what is 9 ÷ 6 × 18 + 5?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 7 ÷ 12 − 20?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 6 ÷ 2 × 2?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 7 ÷ 6 + 14?
37. 37.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 9 × 15 ÷ 13?
38. 38.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 4 ÷ 20 − 10?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 13 ÷ 6 + 5 − 2?
40. 40.If + means ×, − means +, × means ÷ and ÷ means −, what is 8 + 3 ÷ 8 − 18?

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