Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 446 · 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 2 + 2 ÷ 20 − 19?
2. 2.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 12 + 17 × 15?
3. 3.If + means ×, − means +, × means ÷ and ÷ means −, what is 7 + 14 ÷ 19 − 15?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 3 × 17 ÷ 9?
5. 5.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 3 ÷ 18 × 20?
6. 6.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 10 ÷ 12 × 12?
7. 7.If + means −, − means +, × means ÷ and ÷ means ×, what is 8 × 2 − 6 + 6?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 15 + 5 × 12 ÷ 7?
9. 9.If + means −, − means ÷, × means + and ÷ means ×, what is 2 ÷ 19 + 18 − 2?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 11 ÷ 18 − 7 × 6?
11. 11.If + means −, − means ÷, × means + and ÷ means ×, what is 3 ÷ 7 + 2 × 8?
12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 19 − 8 ÷ 11 × 20?
13. 13.If + means ÷, − means ×, × means + and ÷ means −, what is 8 + 4 − 4 × 16?
14. 14.If + means −, − means ×, × means ÷ and ÷ means +, what is 6 × 2 ÷ 4 − 14?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 17 + 2 ÷ 2 × 4?
16. 16.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 4 × 10 ÷ 6?
17. 17.If + means ×, − means +, × means ÷ and ÷ means −, what is 10 + 4 ÷ 17 − 10?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 2 − 18 × 14 ÷ 3?
19. 19.If + means ×, − means ÷, × means − and ÷ means +, what is 4 + 19 ÷ 18 × 16?
20. 20.If + means ×, − means ÷, × means − and ÷ means +, what is 13 + 8 × 10 ÷ 15?
21. 21.If + means ×, − means ÷, × means − and ÷ means +, what is 16 + 5 ÷ 2 × 12?
22. 22.If + means ×, − means ÷, × means − and ÷ means +, what is 16 ÷ 19 + 10 × 2?
23. 23.If + means ×, − means ÷, × means + and ÷ means −, what is 6 + 2 × 15 ÷ 2?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 12 ÷ 9 − 5?
25. 25.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 + 10 ÷ 20 − 14?
26. 26.If + means ×, − means +, × means ÷ and ÷ means −, what is 4 + 6 × 3 − 18?
27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 3 ÷ 10 + 5?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 2 + 16 ÷ 8 × 7?
29. 29.If + means ÷, − means +, × means − and ÷ means ×, what is 16 − 11 + 11 × 3?
30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 19 − 19 ÷ 19 × 19?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 20 + 6 − 7 × 7?
32. 32.If + means −, − means ×, × means ÷ and ÷ means +, what is 16 − 3 + 14 ÷ 18?
33. 33.If + means ÷, − means ×, × means + and ÷ means −, what is 6 × 6 − 7 ÷ 15?
34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 3 + 6 − 9?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 5 − 7 ÷ 14 × 5?
36. 36.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 ÷ 17 + 10 − 20?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 4 − 15 ÷ 10 × 15?
38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 7 − 16 × 2?
39. 39.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 4 + 10 × 5?
40. 40.If + means −, − means ÷, × means + and ÷ means ×, what is 6 ÷ 12 × 3 + 2?

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