Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 569 · 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 4 ÷ 2 − 8 + 2?
2. 2.If + means −, − means ÷, × means + and ÷ means ×, what is 7 ÷ 18 − 6 × 11?
3. 3.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 14 + 14 − 7?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 15 − 16 × 8?
5. 5.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 ÷ 7 × 2 − 13?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 17 ÷ 18 × 14?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 4 − 4 × 18?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 − 19 + 15 ÷ 13?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 13 + 10 ÷ 7 − 7?
10. 10.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 × 7 − 7 ÷ 18?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 11 ÷ 20 + 13?
12. 12.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 3 + 19 − 19?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 12 − 20 + 12?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 20 − 10 × 10?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 18 × 8 ÷ 4 − 2?
16. 16.If + means ÷, − means +, × means − and ÷ means ×, what is 15 × 5 − 7 ÷ 4?
17. 17.If + means ÷, − means ×, × means − and ÷ means +, what is 5 ÷ 18 − 18 × 14?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 13 × 2 ÷ 2?
19. 19.If + means ÷, − means ×, × means − and ÷ means +, what is 3 − 17 × 5 ÷ 12?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 15 + 2 − 7?
21. 21.If + means ÷, − means +, × means − and ÷ means ×, what is 16 ÷ 7 × 14 − 11?
22. 22.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 × 9 ÷ 13?
23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 13 − 2 ÷ 4?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 + 10 ÷ 7 − 15?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 14 ÷ 2 × 16 − 19?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 6 + 13 − 15?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 5 × 4 ÷ 4?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 10 × 8 ÷ 16 + 6?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 + 18 ÷ 12 − 14?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 19 ÷ 11 × 20?
31. 31.If + means −, − means +, × means ÷ and ÷ means ×, what is 9 + 5 − 15 ÷ 14?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 3 ÷ 4 − 4?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 18 ÷ 7 + 2 × 13?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 9 − 6 × 14?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 × 5 ÷ 18 − 4?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 2 ÷ 16 × 4?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 8 ÷ 11 − 13?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 18 − 7 × 8?
39. 39.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 19 ÷ 15 + 3?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 20 − 5 × 15 + 8?

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