Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 625 · 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 5 − 20 ÷ 2 × 14?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 12 × 20 ÷ 11 + 6?
3. 3.If + means ÷, − means ×, × means + and ÷ means −, what is 7 ÷ 2 × 11 − 3?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 13 × 13 ÷ 8 + 17?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 19 × 8 − 13 ÷ 19?
6. 6.If + means −, − means ÷, × means + and ÷ means ×, what is 19 ÷ 14 + 7 × 13?
7. 7.If + means ×, − means ÷, × means + and ÷ means −, what is 3 × 14 + 7 ÷ 2?
8. 8.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 ÷ 20 − 2 + 20?
9. 9.If + means ×, − means ÷, × means + and ÷ means −, what is 7 + 20 − 10 × 11?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 2 ÷ 9 − 10 × 7?
11. 11.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 19 ÷ 9 × 7?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 10 − 2 × 5?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 15 + 13 × 2?
14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 12 × 13 ÷ 3 + 17?
15. 15.If + means ÷, − means +, × means − and ÷ means ×, what is 18 × 12 − 15 ÷ 16?
16. 16.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 16 + 6 × 2?
17. 17.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 + 6 − 13 ÷ 7?
18. 18.If + means ×, − means ÷, × means − and ÷ means +, what is 13 − 13 ÷ 17 + 12?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 13 + 13 ÷ 6 × 10?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 3 ÷ 11 + 16 − 4?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 ÷ 3 − 3 + 17?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 4 + 20 − 12?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 17 + 11 × 15 ÷ 5?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 8 ÷ 3 + 8?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 ÷ 3 − 7 + 4?
26. 26.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 19 + 5 × 17?
27. 27.If + means −, − means ÷, × means + and ÷ means ×, what is 3 × 19 ÷ 17 + 3?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 17 × 2 ÷ 10?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 5 ÷ 6 × 15?
30. 30.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 12 + 7 × 10?
31. 31.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 16 ÷ 10 × 19?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 15 − 16 + 2 ÷ 17?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 17 ÷ 6 − 4 + 2?
34. 34.If + means ÷, − means ×, × means − and ÷ means +, what is 8 × 4 ÷ 14 − 11?
35. 35.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 9 × 13 ÷ 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 3 ÷ 5 − 14 × 5?
37. 37.If + means ×, − means ÷, × means − and ÷ means +, what is 12 + 15 × 13 ÷ 17?
38. 38.If + means ÷, − means ×, × means − and ÷ means +, what is 8 − 19 + 2 ÷ 6?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 13 ÷ 5 × 10 + 2?
40. 40.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 13 ÷ 20 + 15?

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