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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 407 · 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 × 21 =
  2. 2.37 × 6 =
  3. 3.12345678 × 9 + 9 =
  4. 4.37 × 3 =
  5. 5.1111 × 1111 =
  6. 6.123 × 9 + 4 =
  7. 7.123456 × 9 + 7 =
  8. 8.37 × 24 =
  9. 9.12345 × 8 + 5 =
  10. 10.11111 × 11111 =
  11. 11.37 × 27 =
  12. 12.12345679 × 9 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 12 =
  15. 15.111111 × 111111 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 45 =
  18. 18.11 × 11 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 63 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 54 =
  23. 23.123 × 8 + 3 =
  24. 24.1234 × 8 + 4 =
  25. 25.123456 × 8 + 6 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 36 =
  29. 29.37 × 15 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345679 × 27 =
  32. 32.37 × 9 =
  33. 33.37 × 9 =
  34. 34.111 × 111 =
  35. 35.12 × 9 + 3 =
  36. 36.12345679 × 72 =
  37. 37.12345678 × 9 + 9 =
  38. 38.11111 × 11111 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 9 =

Answer key

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

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