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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 423 · 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. 1.1234 × 9 + 5 =
  2. 2.1111 × 1111 =
  3. 3.111 × 111 =
  4. 4.37 × 9 =
  5. 5.37 × 27 =
  6. 6.12345679 × 27 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 45 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 63 =
  12. 12.123 × 9 + 4 =
  13. 13.37 × 12 =
  14. 14.111111 × 111111 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 6 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 9 =
  19. 19.37 × 15 =
  20. 20.12345 × 9 + 6 =
  21. 21.1234 × 8 + 4 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 21 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 24 =
  26. 26.11 × 11 =
  27. 27.1234567 × 9 + 8 =
  28. 28.37 × 3 =
  29. 29.11111 × 11111 =
  30. 30.12345 × 8 + 5 =
  31. 31.12 × 8 + 2 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 18 =
  34. 34.12345679 × 54 =
  35. 35.12 × 8 + 2 =
  36. 36.123 × 8 + 3 =
  37. 37.12345679 × 72 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 27 =
  40. 40.12345679 × 63 =

Answer key

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

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