Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 729 · 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 19 + 20 − 19 × 10?
2. 2.If + means ×, − means +, × means ÷ and ÷ means −, what is 2 − 17 + 2 ÷ 6?
3. 3.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 10 + 19 × 10?
4. 4.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 16 × 4 + 6?
5. 5.If + means ÷, − means ×, × means + and ÷ means −, what is 14 + 7 ÷ 2 × 14?
6. 6.If + means ÷, − means ×, × means − and ÷ means +, what is 12 − 8 × 18 ÷ 5?
7. 7.If + means −, − means ×, × means ÷ and ÷ means +, what is 8 − 6 × 8 ÷ 2?
8. 8.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 + 2 − 20 × 5?
9. 9.If + means ×, − means ÷, × means − and ÷ means +, what is 7 + 4 × 4 ÷ 14?
10. 10.If + means ÷, − means ×, × means + and ÷ means −, what is 18 − 13 + 18 ÷ 4?
11. 11.If + means ÷, − means ×, × means − and ÷ means +, what is 9 ÷ 18 − 13 × 2?
12. 12.If + means −, − means ÷, × means + and ÷ means ×, what is 9 ÷ 20 + 16 × 20?
13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 18 ÷ 8 × 18 − 17?
14. 14.If + means −, − means +, × means ÷ and ÷ means ×, what is 12 + 3 × 3 − 7?
15. 15.If + means ×, − means ÷, × means − and ÷ means +, what is 2 + 12 ÷ 12 × 14?
16. 16.If + means ÷, − means ×, × means + and ÷ means −, what is 15 × 19 − 16 ÷ 19?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 ÷ 3 − 6 × 9?
18. 18.If + means ÷, − means ×, × means + and ÷ means −, what is 7 − 5 ÷ 10 × 8?
19. 19.If + means −, − means ÷, × means + and ÷ means ×, what is 7 × 2 ÷ 7 + 6?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 7 + 4 − 6 ÷ 16?
21. 21.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 ÷ 14 − 12 + 17?
22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 17 − 6 × 3 ÷ 8?
23. 23.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 + 6 ÷ 8 − 3?
24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 10 − 2 × 10 ÷ 9?
25. 25.If + means ÷, − means +, × means − and ÷ means ×, what is 2 ÷ 5 × 18 + 3?
26. 26.If + means ×, − means ÷, × means + and ÷ means −, what is 17 × 15 + 8 ÷ 12?
27. 27.If + means ÷, − means +, × means − and ÷ means ×, what is 10 ÷ 19 × 2 − 12?
28. 28.If + means ×, − means ÷, × means + and ÷ means −, what is 18 − 2 + 7 × 8?
29. 29.If + means −, − means +, × means ÷ and ÷ means ×, what is 20 ÷ 6 × 8 − 5?
30. 30.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 − 3 ÷ 10 + 8?
31. 31.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 5 ÷ 7 − 4?
32. 32.If + means ×, − means ÷, × means − and ÷ means +, what is 11 ÷ 7 + 18 × 7?
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 18 − 20 × 3 ÷ 2?
34. 34.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 4 + 14 ÷ 16?
35. 35.If + means −, − means ×, × means ÷ and ÷ means +, what is 18 − 5 ÷ 9 × 9?
36. 36.If + means ÷, − means +, × means − and ÷ means ×, what is 4 × 8 − 6 ÷ 6?
37. 37.If + means ÷, − means ×, × means + and ÷ means −, what is 17 − 7 ÷ 8 × 8?
38. 38.If + means ×, − means ÷, × means + and ÷ means −, what is 6 × 20 + 3 − 3?
39. 39.If + means ÷, − means ×, × means − and ÷ means +, what is 2 × 18 ÷ 6 − 12?
40. 40.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 6 + 3 ÷ 6?

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