Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 238 · 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 ÷ 15 + 2 − 4?
2. 2.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 4 ÷ 2 − 8?
3. 3.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 − 3 ÷ 8 × 8?
4. 4.If + means ÷, − means ×, × means − and ÷ means +, what is 10 + 2 ÷ 13 − 7?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 4 + 12 × 12?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 15 × 3 ÷ 10?
7. 7.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 10 × 4 ÷ 20?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 − 3 × 3 ÷ 6?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 19 + 9 × 2 ÷ 4?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 9 × 19 − 20 + 4?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 + 13 − 3 ÷ 5?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 8 ÷ 12 − 15 × 6?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 17 + 20 − 2 × 19?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 + 6 × 3 ÷ 7?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 − 3 ÷ 4 + 12?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 17 ÷ 3 + 12?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 7 ÷ 19 + 10?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 ÷ 13 − 8 + 9?
19. 19.If + means ×, − means +, × means ÷ and ÷ means −, what is 5 − 17 + 6 × 6?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 6 + 5 − 10 ÷ 4?
21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 18 × 7 + 7?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 19 ÷ 7 − 10 × 16?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 3 × 7 ÷ 9 + 7?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 3 ÷ 2 × 13 − 7?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 14 − 18 + 3?
26. 26.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 17 − 6 × 20?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 7 × 9 − 14?
28. 28.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 × 5 − 5?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 14 + 12 ÷ 16 × 3?
30. 30.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 5 − 16 ÷ 6?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 18 ÷ 9 + 13?
32. 32.If + means ×, − means ÷, × means + and ÷ means −, what is 10 + 9 − 3 ÷ 19?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 2 − 14 + 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 15 − 16 ÷ 4 × 4?
35. 35.If + means ×, − means ÷, × means − and ÷ means +, what is 14 − 14 + 18 ÷ 7?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 9 − 12 × 6 ÷ 11?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 − 18 × 2 + 13?
38. 38.If + means −, − means ÷, × means + and ÷ means ×, what is 11 + 2 − 2 × 7?
39. 39.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 2 ÷ 13 − 5?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 10 − 9 ÷ 4 × 20?

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