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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 619 · 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. 1.12345679 × 45 =
  2. 2.12345679 × 9 =
  3. 3.12345679 × 36 =
  4. 4.37 × 12 =
  5. 5.37 × 21 =
  6. 6.37 × 15 =
  7. 7.37 × 24 =
  8. 8.123 × 8 + 3 =
  9. 9.12345 × 8 + 5 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 54 =
  12. 12.12345679 × 27 =
  13. 13.11 × 11 =
  14. 14.12345679 × 18 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 3 =
  17. 17.37 × 18 =
  18. 18.111 × 111 =
  19. 19.111111 × 111111 =
  20. 20.12 × 9 + 3 =
  21. 21.123456 × 8 + 6 =
  22. 22.1111 × 1111 =
  23. 23.37 × 9 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12345679 × 63 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 72 =
  28. 28.123456 × 9 + 7 =
  29. 29.1234 × 8 + 4 =
  30. 30.1234567 × 8 + 7 =
  31. 31.37 × 27 =
  32. 32.123 × 9 + 4 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 6 =
  35. 35.37 × 21 =
  36. 36.12345679 × 81 =
  37. 37.12 × 8 + 2 =
  38. 38.12345679 × 72 =
  39. 39.1234567 × 9 + 8 =
  40. 40.12345679 × 18 =

Answer key

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

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