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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 463 · 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 × 15 =
  2. 2.111 × 111 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 9 =
  6. 6.37 × 9 =
  7. 7.12 × 8 + 2 =
  8. 8.1111 × 1111 =
  9. 9.37 × 27 =
  10. 10.123456789 × 8 + 9 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 24 =
  13. 13.37 × 12 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345678 × 8 + 8 =
  16. 16.37 × 6 =
  17. 17.37 × 21 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 18 =
  21. 21.37 × 3 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 18 =
  24. 24.12 × 9 + 3 =
  25. 25.1234 × 8 + 4 =
  26. 26.1234 × 9 + 5 =
  27. 27.11111 × 11111 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 27 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 63 =
  32. 32.11 × 11 =
  33. 33.12 × 9 + 3 =
  34. 34.123 × 8 + 3 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 18 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 54 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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