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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 203 · 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 × 81 =
  2. 2.12345679 × 63 =
  3. 3.11 × 11 =
  4. 4.12345679 × 9 =
  5. 5.37 × 21 =
  6. 6.123456 × 8 + 6 =
  7. 7.37 × 12 =
  8. 8.12345 × 8 + 5 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 72 =
  11. 11.37 × 18 =
  12. 12.1234567 × 9 + 8 =
  13. 13.37 × 24 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 15 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 18 =
  19. 19.12 × 9 + 3 =
  20. 20.1234567 × 8 + 7 =
  21. 21.111 × 111 =
  22. 22.37 × 27 =
  23. 23.12345679 × 54 =
  24. 24.1111 × 1111 =
  25. 25.1234 × 9 + 5 =
  26. 26.111111 × 111111 =
  27. 27.37 × 9 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 45 =
  33. 33.123 × 8 + 3 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 3 =
  36. 36.11111 × 11111 =
  37. 37.12345679 × 36 =
  38. 38.37 × 21 =
  39. 39.12345679 × 27 =
  40. 40.12345679 × 72 =

Answer key

  1. 999999999
  2. 777777777
  3. 121
  4. 111111111
  5. 777
  6. 987654
  7. 444
  8. 98765
  9. 987654321
  10. 888888888
  11. 666
  12. 11111111
  13. 888
  14. 111111111
  15. 1111111
  16. 555
  17. 9876
  18. 222222222
  19. 111
  20. 9876543
  21. 12321
  22. 999
  23. 666666666
  24. 1234321
  25. 11111
  26. 12345654321
  27. 333
  28. 1111
  29. 222
  30. 98765432
  31. 111111
  32. 555555555
  33. 987
  34. 98
  35. 111
  36. 123454321
  37. 444444444
  38. 777
  39. 333333333
  40. 888888888

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