Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 44 · 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 6 − 15 × 6 ÷ 2?
2. 2.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 16 × 12 + 2?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 5 ÷ 9 × 8 + 7?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 5 ÷ 4 + 4?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 10 + 20 × 6?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 15 × 3 + 18?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 19 − 5 ÷ 10 + 2?
8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 19 ÷ 20 × 5?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 15 ÷ 9 − 14?
10. 10.If + means ×, − means ÷, × means + and ÷ means −, what is 5 × 7 + 14 − 7?
11. 11.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 15 − 20 + 5?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 3 × 10 ÷ 4 − 3?
13. 13.If + means ×, − means ÷, × means + and ÷ means −, what is 8 × 8 + 3 ÷ 7?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 2 ÷ 12 × 4 − 10?
15. 15.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 13 − 13?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 8 × 15 − 3?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 4 + 8 − 7?
18. 18.If + means ÷, − means ×, × means − and ÷ means +, what is 18 + 2 ÷ 2 − 12?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 15 − 5 + 14 × 9?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 10 − 18 ÷ 13 + 11?
21. 21.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 20 + 17 ÷ 13?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 20 ÷ 8 × 6?
23. 23.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 9 × 18 − 6?
24. 24.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 13 × 4 + 2?
25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 18 − 3 + 13?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 3 ÷ 5 × 12?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 5 × 13 ÷ 7?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 12 − 6 × 2 + 2?
29. 29.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 2 ÷ 4 × 9?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 19 ÷ 4 + 2?
31. 31.If + means ÷, − means ×, × means − and ÷ means +, what is 20 ÷ 13 − 11 × 4?
32. 32.If + means −, − means ÷, × means + and ÷ means ×, what is 12 ÷ 12 + 11 × 13?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 6 ÷ 6 − 20 × 3?
34. 34.If + means −, − means +, × means ÷ and ÷ means ×, what is 13 ÷ 7 − 10 + 16?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 20 ÷ 6 + 2?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 5 − 10 ÷ 5 × 7?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 14 × 7 ÷ 3?
38. 38.If + means ×, − means ÷, × means − and ÷ means +, what is 17 ÷ 20 + 20 × 10?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 11 − 15 ÷ 6 × 11?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 2 − 18 × 6?

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