Symbol Substitution Worksheet

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

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