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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 468 · 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. 1.37 × 24 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 72 =
  4. 4.37 × 3 =
  5. 5.12345679 × 27 =
  6. 6.1111 × 1111 =
  7. 7.123456789 × 8 + 9 =
  8. 8.12 × 9 + 3 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 36 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 18 =
  13. 13.37 × 6 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345 × 8 + 5 =
  16. 16.111 × 111 =
  17. 17.37 × 27 =
  18. 18.123 × 8 + 3 =
  19. 19.1234 × 9 + 5 =
  20. 20.37 × 18 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 9 + 7 =
  23. 23.37 × 9 =
  24. 24.12345679 × 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 15 =
  28. 28.111111 × 111111 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 54 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 54 =
  33. 33.37 × 21 =
  34. 34.37 × 12 =
  35. 35.12 × 8 + 2 =
  36. 36.37 × 27 =
  37. 37.12345679 × 63 =
  38. 38.11 × 11 =
  39. 39.12345679 × 54 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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