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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 490 · 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. 2.37 × 15 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12 × 9 + 3 =
  5. 5.111 × 111 =
  6. 6.37 × 27 =
  7. 7.12345679 × 72 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 18 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345678 × 9 + 9 =
  12. 12.1234567 × 9 + 8 =
  13. 13.37 × 18 =
  14. 14.37 × 12 =
  15. 15.11 × 11 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345679 × 9 =
  18. 18.12345 × 9 + 6 =
  19. 19.12345679 × 63 =
  20. 20.1234 × 8 + 4 =
  21. 21.11111 × 11111 =
  22. 22.12345 × 8 + 5 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 9 =
  25. 25.12345679 × 36 =
  26. 26.123 × 9 + 4 =
  27. 27.37 × 21 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 54 =
  31. 31.37 × 3 =
  32. 32.12 × 8 + 2 =
  33. 33.37 × 24 =
  34. 34.12345679 × 81 =
  35. 35.37 × 6 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 63 =
  38. 38.1234 × 8 + 4 =
  39. 39.123456 × 8 + 6 =
  40. 40.111 × 111 =

Answer key

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

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