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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 214 · 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. 1.111111 × 111111 =
  2. 2.37 × 18 =
  3. 3.12 × 9 + 3 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 9 =
  6. 6.11111 × 11111 =
  7. 7.37 × 15 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12 × 8 + 2 =
  10. 10.12345 × 8 + 5 =
  11. 11.123456789 × 8 + 9 =
  12. 12.11 × 11 =
  13. 13.37 × 24 =
  14. 14.37 × 9 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 36 =
  17. 17.1111 × 1111 =
  18. 18.123456 × 9 + 7 =
  19. 19.1234 × 9 + 5 =
  20. 20.1234567 × 8 + 7 =
  21. 21.12345 × 9 + 6 =
  22. 22.123 × 9 + 4 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.37 × 27 =
  27. 27.37 × 3 =
  28. 28.123 × 8 + 3 =
  29. 29.37 × 6 =
  30. 30.123456 × 8 + 6 =
  31. 31.37 × 12 =
  32. 32.12345679 × 54 =
  33. 33.111 × 111 =
  34. 34.37 × 21 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 45 =
  37. 37.1234 × 8 + 4 =
  38. 38.37 × 6 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 63 =

Answer key

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

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