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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 730 · 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. 1.12345679 × 72 =
  2. 2.12345679 × 54 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345 × 8 + 5 =
  5. 5.123 × 9 + 4 =
  6. 6.12345679 × 81 =
  7. 7.1234 × 8 + 4 =
  8. 8.123456 × 9 + 7 =
  9. 9.37 × 6 =
  10. 10.12345678 × 9 + 9 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 63 =
  13. 13.12345679 × 18 =
  14. 14.12345679 × 9 =
  15. 15.123456789 × 8 + 9 =
  16. 16.11111 × 11111 =
  17. 17.111111 × 111111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 15 =
  21. 21.37 × 27 =
  22. 22.37 × 18 =
  23. 23.37 × 12 =
  24. 24.1111 × 1111 =
  25. 25.111 × 111 =
  26. 26.12345679 × 27 =
  27. 27.12345679 × 45 =
  28. 28.37 × 21 =
  29. 29.12 × 8 + 2 =
  30. 30.12345679 × 36 =
  31. 31.37 × 9 =
  32. 32.12345 × 9 + 6 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345 × 9 + 6 =
  35. 35.11 × 11 =
  36. 36.37 × 3 =
  37. 37.37 × 24 =
  38. 38.12 × 9 + 3 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345679 × 45 =

Answer key

  1. 888888888
  2. 666666666
  3. 11111
  4. 98765
  5. 1111
  6. 999999999
  7. 9876
  8. 1111111
  9. 222
  10. 111111111
  11. 987
  12. 777777777
  13. 222222222
  14. 111111111
  15. 987654321
  16. 123454321
  17. 12345654321
  18. 11111111
  19. 98765432
  20. 555
  21. 999
  22. 666
  23. 444
  24. 1234321
  25. 12321
  26. 333333333
  27. 555555555
  28. 777
  29. 98
  30. 444444444
  31. 333
  32. 111111
  33. 11111111
  34. 111111
  35. 121
  36. 111
  37. 888
  38. 111
  39. 98765432
  40. 555555555

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