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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 829 · 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. 2.1234 × 8 + 4 =
  3. 3.1234567 × 8 + 7 =
  4. 4.11 × 11 =
  5. 5.37 × 24 =
  6. 6.37 × 3 =
  7. 7.12345 × 9 + 6 =
  8. 8.123456789 × 8 + 9 =
  9. 9.123456 × 8 + 6 =
  10. 10.111 × 111 =
  11. 11.12345679 × 54 =
  12. 12.12345679 × 81 =
  13. 13.123 × 9 + 4 =
  14. 14.111111 × 111111 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 12 =
  17. 17.37 × 15 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 27 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345 × 8 + 5 =
  24. 24.1234 × 9 + 5 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 9 =
  29. 29.12 × 9 + 3 =
  30. 30.37 × 6 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 15 =
  33. 33.37 × 9 =
  34. 34.12345679 × 36 =
  35. 35.37 × 27 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 21 =
  38. 38.37 × 18 =
  39. 39.37 × 27 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 123454321
  2. 9876
  3. 9876543
  4. 121
  5. 888
  6. 111
  7. 111111
  8. 987654321
  9. 987654
  10. 12321
  11. 666666666
  12. 999999999
  13. 1111
  14. 12345654321
  15. 1111111
  16. 444
  17. 555
  18. 1234321
  19. 555555555
  20. 777777777
  21. 333333333
  22. 11111111
  23. 98765
  24. 11111
  25. 987
  26. 888888888
  27. 222222222
  28. 111111111
  29. 111
  30. 222
  31. 98765432
  32. 555
  33. 333
  34. 444444444
  35. 999
  36. 98
  37. 777
  38. 666
  39. 999
  40. 111111

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