Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 456 · 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 20 × 5 − 15 ÷ 19?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 14 × 17 ÷ 4 + 3?
3. 3.If + means ÷, − means ×, × means − and ÷ means +, what is 8 + 2 ÷ 19 − 11?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 3 ÷ 17 × 2 − 11?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 6 × 8 + 3 ÷ 19?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 4 × 20 ÷ 7 − 19?
7. 7.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 6 × 6 ÷ 20?
8. 8.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 × 3 + 13 − 12?
9. 9.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 × 4 ÷ 4 − 12?
10. 10.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 10 ÷ 7 − 5?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 12 + 9 × 20 ÷ 16?
12. 12.If + means ÷, − means ×, × means − and ÷ means +, what is 15 × 20 ÷ 12 + 2?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 9 ÷ 18 × 3?
14. 14.If + means ×, − means ÷, × means + and ÷ means −, what is 2 × 18 + 4 − 12?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 16 − 3 × 9?
16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 17 × 10 ÷ 6 + 2?
17. 17.If + means ÷, − means ×, × means + and ÷ means −, what is 5 − 4 × 13 + 13?
18. 18.If + means ×, − means ÷, × means + and ÷ means −, what is 10 ÷ 13 × 12 + 19?
19. 19.If + means ÷, − means ×, × means + and ÷ means −, what is 7 × 14 − 7 ÷ 11?
20. 20.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 14 × 2 ÷ 20?
21. 21.If + means −, − means ×, × means ÷ and ÷ means +, what is 20 − 15 ÷ 18 × 3?
22. 22.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 15 × 7 ÷ 5?
23. 23.If + means ÷, − means +, × means − and ÷ means ×, what is 20 − 17 ÷ 4 × 8?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 17 ÷ 19 + 7 − 2?
25. 25.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 + 2 − 6 × 3?
26. 26.If + means −, − means ×, × means ÷ and ÷ means +, what is 13 + 16 ÷ 20 − 6?
27. 27.If + means ×, − means ÷, × means + and ÷ means −, what is 16 × 15 + 4 ÷ 5?
28. 28.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 − 5 ÷ 19 + 18?
29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 ÷ 3 − 20 × 2?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 7 + 8 ÷ 16?
31. 31.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 11 × 14 + 4?
32. 32.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 13 − 17 ÷ 6?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 20 + 4 ÷ 3?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 2 × 15 ÷ 12 + 3?
35. 35.If + means ×, − means +, × means ÷ and ÷ means −, what is 18 + 6 ÷ 19 × 19?
36. 36.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 12 ÷ 20 + 8?
37. 37.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 − 16 + 5 × 4?
38. 38.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 15 − 14 + 7?
39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 14 + 2 × 2?
40. 40.If + means ÷, − means ×, × means + and ÷ means −, what is 2 × 6 ÷ 6 + 3?

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