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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 16 · 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 × 9 =
  2. 2.37 × 27 =
  3. 3.37 × 12 =
  4. 4.123 × 9 + 4 =
  5. 5.111 × 111 =
  6. 6.11 × 11 =
  7. 7.11111 × 11111 =
  8. 8.1234567 × 8 + 7 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 63 =
  11. 11.37 × 21 =
  12. 12.37 × 24 =
  13. 13.37 × 6 =
  14. 14.111111 × 111111 =
  15. 15.12345 × 9 + 6 =
  16. 16.12345679 × 18 =
  17. 17.12345679 × 81 =
  18. 18.123456789 × 8 + 9 =
  19. 19.37 × 9 =
  20. 20.12345679 × 72 =
  21. 21.123 × 8 + 3 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 54 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345679 × 45 =
  27. 27.12345679 × 27 =
  28. 28.37 × 18 =
  29. 29.12 × 8 + 2 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 3 =
  32. 32.12345679 × 36 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345678 × 8 + 8 =
  35. 35.37 × 3 =
  36. 36.12345679 × 36 =
  37. 37.37 × 27 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 63 =
  40. 40.12 × 9 + 3 =

Answer key

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

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