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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 304 · 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 × 15 =
  3. 3.12345 × 9 + 6 =
  4. 4.12345679 × 36 =
  5. 5.111 × 111 =
  6. 6.37 × 27 =
  7. 7.1234 × 9 + 5 =
  8. 8.37 × 24 =
  9. 9.12 × 8 + 2 =
  10. 10.123456 × 8 + 6 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 6 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 18 =
  15. 15.11111 × 11111 =
  16. 16.37 × 12 =
  17. 17.12345679 × 9 =
  18. 18.12345678 × 9 + 9 =
  19. 19.11 × 11 =
  20. 20.1234567 × 9 + 8 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 63 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.37 × 9 =
  27. 27.12345679 × 45 =
  28. 28.12345679 × 54 =
  29. 29.123456 × 9 + 7 =
  30. 30.111111 × 111111 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 3 =
  33. 33.12345679 × 81 =
  34. 34.1111 × 1111 =
  35. 35.12345679 × 81 =
  36. 36.12345679 × 72 =
  37. 37.11111 × 11111 =
  38. 38.1111 × 1111 =
  39. 39.123456789 × 8 + 9 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 777
  2. 555
  3. 111111
  4. 444444444
  5. 12321
  6. 999
  7. 11111
  8. 888
  9. 98
  10. 987654
  11. 9876
  12. 222
  13. 987
  14. 666
  15. 123454321
  16. 444
  17. 111111111
  18. 111111111
  19. 121
  20. 11111111
  21. 1111
  22. 777777777
  23. 9876543
  24. 333333333
  25. 98765432
  26. 333
  27. 555555555
  28. 666666666
  29. 1111111
  30. 12345654321
  31. 111
  32. 111
  33. 999999999
  34. 1234321
  35. 999999999
  36. 888888888
  37. 123454321
  38. 1234321
  39. 987654321
  40. 1111

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