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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 820 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.11111 × 11111 =
  2. 2.12 × 9 + 3 =
  3. 3.11 × 11 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345678 × 9 + 9 =
  6. 6.1234567 × 9 + 8 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 63 =
  9. 9.111 × 111 =
  10. 10.123 × 8 + 3 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 24 =
  13. 13.12345 × 8 + 5 =
  14. 14.37 × 12 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 45 =
  17. 17.37 × 15 =
  18. 18.111111 × 111111 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345679 × 18 =
  22. 22.12345679 × 9 =
  23. 23.1111 × 1111 =
  24. 24.123456 × 8 + 6 =
  25. 25.12345679 × 36 =
  26. 26.12345679 × 54 =
  27. 27.123456 × 9 + 7 =
  28. 28.37 × 3 =
  29. 29.12345679 × 27 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 9 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345679 × 72 =
  35. 35.12345679 × 81 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 6 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 18 =
  40. 40.12345679 × 18 =

Answer key

  1. 123454321
  2. 111
  3. 121
  4. 1111111
  5. 111111111
  6. 11111111
  7. 11111
  8. 777777777
  9. 12321
  10. 987
  11. 98
  12. 888
  13. 98765
  14. 444
  15. 9876543
  16. 555555555
  17. 555
  18. 12345654321
  19. 9876
  20. 98765432
  21. 222222222
  22. 111111111
  23. 1234321
  24. 987654
  25. 444444444
  26. 666666666
  27. 1111111
  28. 111
  29. 333333333
  30. 1111
  31. 333
  32. 111111111
  33. 111111
  34. 888888888
  35. 999999999
  36. 987654
  37. 222
  38. 987
  39. 666
  40. 222222222

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