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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 518 · 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 × 18 =
  2. 2.12345679 × 72 =
  3. 3.11 × 11 =
  4. 4.12 × 9 + 3 =
  5. 5.12345679 × 45 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 12 =
  8. 8.12345678 × 9 + 9 =
  9. 9.1234 × 8 + 4 =
  10. 10.111111 × 111111 =
  11. 11.1111 × 1111 =
  12. 12.111 × 111 =
  13. 13.12345679 × 81 =
  14. 14.37 × 3 =
  15. 15.12345678 × 8 + 8 =
  16. 16.123 × 8 + 3 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345 × 9 + 6 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 63 =
  21. 21.37 × 24 =
  22. 22.123456 × 8 + 6 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 21 =
  25. 25.37 × 6 =
  26. 26.12345679 × 54 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 27 =
  29. 29.12345679 × 9 =
  30. 30.37 × 15 =
  31. 31.123 × 9 + 4 =
  32. 32.11111 × 11111 =
  33. 33.12345 × 8 + 5 =
  34. 34.37 × 27 =
  35. 35.37 × 9 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 6 =
  38. 38.1234567 × 8 + 7 =
  39. 39.111111 × 111111 =
  40. 40.12345679 × 9 =

Answer key

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

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