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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 564 · 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 × 3 =
  2. 2.12345678 × 8 + 8 =
  3. 3.111 × 111 =
  4. 4.11111 × 11111 =
  5. 5.1234 × 8 + 4 =
  6. 6.37 × 24 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 54 =
  10. 10.123 × 9 + 4 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 27 =
  13. 13.123456789 × 8 + 9 =
  14. 14.12345679 × 81 =
  15. 15.111111 × 111111 =
  16. 16.37 × 9 =
  17. 17.37 × 21 =
  18. 18.12345679 × 27 =
  19. 19.12345 × 8 + 5 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 18 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 63 =
  24. 24.37 × 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12 × 9 + 3 =
  27. 27.11 × 11 =
  28. 28.1111 × 1111 =
  29. 29.37 × 12 =
  30. 30.37 × 18 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 72 =
  33. 33.12345 × 9 + 6 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345679 × 45 =
  36. 36.1234 × 9 + 5 =
  37. 37.123456 × 8 + 6 =
  38. 38.12 × 8 + 2 =
  39. 39.37 × 18 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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