Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 513 · 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 × 6 + 3 ÷ 3?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 19 ÷ 3 − 9 × 10?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 20 + 6 − 10?
4. 4.If + means ÷, − means ×, × means + and ÷ means −, what is 20 − 20 × 18 + 9?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 10 × 9 − 17?
6. 6.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 5 − 11 + 19?
7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 + 6 ÷ 3 − 12?
8. 8.If + means ÷, − means +, × means − and ÷ means ×, what is 5 × 6 − 6 ÷ 7?
9. 9.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 4 − 20 + 3?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 5 ÷ 16 + 4 − 17?
11. 11.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 − 11 + 12 ÷ 4?
12. 12.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 7 − 19 + 11?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 8 × 4 ÷ 4 + 2?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 6 − 16 + 20?
15. 15.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 17 + 13 − 19?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 10 ÷ 5 × 20 − 4?
17. 17.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 11 ÷ 8 + 10?
18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 + 7 ÷ 9 × 3?
19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 10 × 2 + 8?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 ÷ 10 + 2 − 5?
21. 21.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 20 ÷ 8 × 5?
22. 22.If + means ÷, − means +, × means − and ÷ means ×, what is 20 ÷ 10 − 13 × 15?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 7 ÷ 8 + 14?
24. 24.If + means ×, − means ÷, × means − and ÷ means +, what is 16 − 16 + 8 ÷ 7?
25. 25.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 6 + 3 × 18?
26. 26.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 16 × 7 + 12?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 − 3 + 4 ÷ 20?
28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 13 − 9 × 14 ÷ 18?
29. 29.If + means ×, − means ÷, × means + and ÷ means −, what is 11 × 17 ÷ 10 − 10?
30. 30.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 × 7 + 15 − 16?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 8 − 9 ÷ 19?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 15 × 20 ÷ 5?
33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 9 ÷ 11 + 7?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 12 ÷ 10 − 2 + 7?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 ÷ 13 − 3 + 2?
36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 15 − 3 ÷ 20 × 19?
37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 ÷ 6 + 6 × 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 6 + 2 − 15 ÷ 17?
39. 39.If + means −, − means ÷, × means + and ÷ means ×, what is 20 × 9 + 20 − 4?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 10 − 2 ÷ 4 × 20?

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