Sum of 1 to 100 Worksheet

Maths tricks trick 8: Add 1 to 100 in seconds · Set 316 · 40 questions

The trick (Pairs): Pair the first and last numbers: each pair adds to n + 1. Count the pairs — or multiply n × (n + 1) and halve it. Odd numbers 1 + 3 + 5 + …: count them and multiply that count by itself.

1. 1.1 + 2 + 3 + … + 52 =
2. 2.1 + 3 + 5 + … + 31 =
3. 3.1 + 2 + 3 + … + 72 =
4. 4.1 + 3 + 5 + … + 9 =
5. 5.1 + 3 + 5 + … + 25 =
6. 6.1 + 2 + 3 + … + 30 =
7. 7.1 + 2 + 3 + … + 28 =
8. 8.1 + 2 + 3 + … + 47 =
9. 9.1 + 3 + 5 + … + 39 =
10. 10.1 + 2 + 3 + … + 97 =
11. 11.1 + 2 + 3 + … + 50 =
12. 12.1 + 3 + 5 + … + 35 =
13. 13.1 + 2 + 3 + … + 82 =
14. 14.1 + 2 + 3 + … + 21 =
15. 15.1 + 2 + 3 + … + 99 =
16. 16.1 + 3 + 5 + … + 33 =
17. 17.1 + 3 + 5 + … + 11 =
18. 18.1 + 2 + 3 + … + 20 =
19. 19.1 + 2 + 3 + … + 94 =
20. 20.1 + 3 + 5 + … + 27 =
21. 21.1 + 2 + 3 + … + 43 =
22. 22.1 + 2 + 3 + … + 39 =
23. 23.1 + 2 + 3 + … + 74 =
24. 24.1 + 3 + 5 + … + 29 =
25. 25.1 + 2 + 3 + … + 83 =
26. 26.1 + 3 + 5 + … + 13 =
27. 27.1 + 2 + 3 + … + 10 =
28. 28.1 + 3 + 5 + … + 41 =
29. 29.1 + 2 + 3 + … + 32 =
30. 30.1 + 2 + 3 + … + 76 =
31. 31.1 + 2 + 3 + … + 27 =
32. 32.1 + 3 + 5 + … + 47 =
33. 33.1 + 2 + 3 + … + 63 =
34. 34.1 + 2 + 3 + … + 12 =
35. 35.1 + 3 + 5 + … + 21 =
36. 36.1 + 2 + 3 + … + 90 =
37. 37.1 + 2 + 3 + … + 45 =
38. 38.1 + 2 + 3 + … + 17 =
39. 39.1 + 3 + 5 + … + 15 =
40. 40.1 + 2 + 3 + … + 60 =

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