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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 669 · 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. 1.111 × 111 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 63 =
  6. 6.123 × 8 + 3 =
  7. 7.12345679 × 36 =
  8. 8.12345678 × 8 + 8 =
  9. 9.1111 × 1111 =
  10. 10.37 × 6 =
  11. 11.37 × 3 =
  12. 12.12345679 × 18 =
  13. 13.1234567 × 8 + 7 =
  14. 14.11 × 11 =
  15. 15.1234 × 8 + 4 =
  16. 16.123456789 × 8 + 9 =
  17. 17.37 × 24 =
  18. 18.12345679 × 72 =
  19. 19.37 × 21 =
  20. 20.12 × 9 + 3 =
  21. 21.111111 × 111111 =
  22. 22.37 × 12 =
  23. 23.1234567 × 9 + 8 =
  24. 24.123 × 9 + 4 =
  25. 25.11111 × 11111 =
  26. 26.37 × 18 =
  27. 27.37 × 27 =
  28. 28.12345 × 9 + 6 =
  29. 29.12 × 8 + 2 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345679 × 81 =
  32. 32.12345679 × 9 =
  33. 33.37 × 15 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 63 =
  36. 36.37 × 15 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345679 × 27 =
  39. 39.37 × 9 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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