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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 216 · 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 × 81 =
  2. 2.37 × 9 =
  3. 3.37 × 27 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345679 × 45 =
  6. 6.12345679 × 9 =
  7. 7.11 × 11 =
  8. 8.12345679 × 54 =
  9. 9.12345679 × 18 =
  10. 10.11111 × 11111 =
  11. 11.12 × 8 + 2 =
  12. 12.12345 × 8 + 5 =
  13. 13.12 × 9 + 3 =
  14. 14.12345679 × 63 =
  15. 15.12345678 × 8 + 8 =
  16. 16.37 × 6 =
  17. 17.111 × 111 =
  18. 18.37 × 21 =
  19. 19.12345 × 9 + 6 =
  20. 20.1234567 × 9 + 8 =
  21. 21.1111 × 1111 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 36 =
  24. 24.123456789 × 8 + 9 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 18 =
  27. 27.12345678 × 9 + 9 =
  28. 28.123 × 8 + 3 =
  29. 29.12345679 × 27 =
  30. 30.111111 × 111111 =
  31. 31.12345679 × 72 =
  32. 32.37 × 15 =
  33. 33.37 × 12 =
  34. 34.37 × 3 =
  35. 35.1234 × 9 + 5 =
  36. 36.123456 × 9 + 7 =
  37. 37.1234567 × 8 + 7 =
  38. 38.11111 × 11111 =
  39. 39.12345679 × 54 =
  40. 40.37 × 27 =

Answer key

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

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