Symbol Substitution Worksheet

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

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