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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 607 · 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. 1.111111 × 111111 =
  2. 2.12345 × 9 + 6 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 72 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234 × 9 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.37 × 24 =
  9. 9.37 × 12 =
  10. 10.12345679 × 45 =
  11. 11.37 × 21 =
  12. 12.37 × 9 =
  13. 13.11 × 11 =
  14. 14.1234567 × 9 + 8 =
  15. 15.37 × 6 =
  16. 16.111 × 111 =
  17. 17.1111 × 1111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 27 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 15 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 18 =
  24. 24.12 × 8 + 2 =
  25. 25.12 × 9 + 3 =
  26. 26.11111 × 11111 =
  27. 27.123456 × 8 + 6 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 63 =
  30. 30.12345679 × 81 =
  31. 31.12345678 × 8 + 8 =
  32. 32.37 × 3 =
  33. 33.12345679 × 72 =
  34. 34.1234 × 8 + 4 =
  35. 35.123 × 9 + 4 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 36 =
  39. 39.37 × 3 =
  40. 40.37 × 18 =

Answer key

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

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