Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 60 · 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 × 8 ÷ 5 − 17?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 5 × 2 − 12 ÷ 19?
3. 3.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 18 ÷ 6 × 19?
4. 4.If + means −, − means ÷, × means + and ÷ means ×, what is 13 + 2 × 6 ÷ 10?
5. 5.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 6 ÷ 7 × 17?
6. 6.If + means ÷, − means ×, × means + and ÷ means −, what is 15 − 6 × 4 ÷ 15?
7. 7.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 16 ÷ 8 × 19?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 11 × 8 ÷ 3 + 6?
9. 9.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 12 × 12 + 6?
10. 10.If + means −, − means ÷, × means + and ÷ means ×, what is 4 + 3 × 20 ÷ 14?
11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 4 × 4 + 6 ÷ 19?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 3 − 4 × 12?
13. 13.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 ÷ 7 + 18 × 18?
14. 14.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 9 − 5 ÷ 6?
15. 15.If + means ÷, − means ×, × means + and ÷ means −, what is 2 + 2 − 14 × 3?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 17 × 9 − 13 ÷ 15?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 + 10 ÷ 13?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 2 ÷ 6 − 14?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 8 ÷ 2 × 8 + 14?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 9 ÷ 4 + 12?
21. 21.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 9 + 6 × 4?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 18 − 4 × 8?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 13 × 9 + 11 ÷ 2?
24. 24.If + means ÷, − means +, × means − and ÷ means ×, what is 12 × 17 − 3 ÷ 2?
25. 25.If + means ×, − means ÷, × means + and ÷ means −, what is 9 − 9 ÷ 6 × 8?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 − 8 ÷ 17 + 13?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 5 ÷ 17 × 10?
28. 28.If + means −, − means ÷, × means + and ÷ means ×, what is 16 + 13 − 13 ÷ 5?
29. 29.If + means −, − means ÷, × means + and ÷ means ×, what is 20 + 4 × 3 ÷ 4?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 × 3 + 5 − 13?
31. 31.If + means ÷, − means +, × means − and ÷ means ×, what is 9 ÷ 12 − 2 × 12?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 + 2 ÷ 18 − 16?
33. 33.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 14 ÷ 18 + 9?
34. 34.If + means ÷, − means ×, × means + and ÷ means −, what is 12 + 4 × 7 ÷ 9?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 15 + 14 − 13 ÷ 5?
36. 36.If + means ×, − means ÷, × means − and ÷ means +, what is 20 + 7 ÷ 16 − 2?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 8 × 7 ÷ 4?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 9 + 3 × 13?
39. 39.If + means ×, − means ÷, × means + and ÷ means −, what is 6 ÷ 9 × 19 + 5?
40. 40.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 × 6 ÷ 15 − 4?

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