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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 643 · 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 × 27 =
  2. 2.37 × 6 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 81 =
  5. 5.37 × 21 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 27 =
  8. 8.123456789 × 8 + 9 =
  9. 9.11 × 11 =
  10. 10.12 × 9 + 3 =
  11. 11.12345 × 9 + 6 =
  12. 12.37 × 24 =
  13. 13.12345678 × 8 + 8 =
  14. 14.37 × 9 =
  15. 15.1111 × 1111 =
  16. 16.111111 × 111111 =
  17. 17.123 × 9 + 4 =
  18. 18.111 × 111 =
  19. 19.11111 × 11111 =
  20. 20.37 × 12 =
  21. 21.12345678 × 9 + 9 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 45 =
  25. 25.123 × 8 + 3 =
  26. 26.1234 × 9 + 5 =
  27. 27.12345679 × 54 =
  28. 28.12345679 × 72 =
  29. 29.37 × 3 =
  30. 30.12345679 × 63 =
  31. 31.12345 × 8 + 5 =
  32. 32.123456 × 9 + 7 =
  33. 33.1234567 × 8 + 7 =
  34. 34.123456789 × 8 + 9 =
  35. 35.123456 × 8 + 6 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 72 =
  38. 38.37 × 21 =
  39. 39.37 × 6 =
  40. 40.37 × 24 =

Answer key

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

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