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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 264 · 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. 1.12345 × 9 + 6 =
  2. 2.1234 × 9 + 5 =
  3. 3.37 × 6 =
  4. 4.37 × 12 =
  5. 5.12345679 × 81 =
  6. 6.123 × 9 + 4 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345679 × 45 =
  9. 9.111 × 111 =
  10. 10.12345679 × 72 =
  11. 11.37 × 9 =
  12. 12.37 × 27 =
  13. 13.37 × 21 =
  14. 14.37 × 24 =
  15. 15.11 × 11 =
  16. 16.12345679 × 27 =
  17. 17.37 × 15 =
  18. 18.12 × 9 + 3 =
  19. 19.123 × 8 + 3 =
  20. 20.12 × 8 + 2 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 36 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 18 =
  25. 25.37 × 3 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345679 × 63 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345678 × 8 + 8 =
  30. 30.1234 × 8 + 4 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 9 =
  33. 33.12345678 × 9 + 9 =
  34. 34.111111 × 111111 =
  35. 35.37 × 15 =
  36. 36.11111 × 11111 =
  37. 37.37 × 18 =
  38. 38.37 × 18 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12345679 × 54 =

Answer key

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

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