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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 573 · 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. 1.1234567 × 9 + 8 =
  2. 2.1111 × 1111 =
  3. 3.37 × 9 =
  4. 4.37 × 24 =
  5. 5.37 × 21 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 27 =
  8. 8.111111 × 111111 =
  9. 9.123456 × 8 + 6 =
  10. 10.37 × 6 =
  11. 11.37 × 18 =
  12. 12.12345679 × 45 =
  13. 13.11111 × 11111 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345679 × 81 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 15 =
  18. 18.111 × 111 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 18 =
  21. 21.12 × 9 + 3 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 54 =
  25. 25.12345679 × 36 =
  26. 26.123456789 × 8 + 9 =
  27. 27.1234 × 9 + 5 =
  28. 28.11 × 11 =
  29. 29.37 × 3 =
  30. 30.37 × 12 =
  31. 31.12345679 × 27 =
  32. 32.12345679 × 63 =
  33. 33.12345679 × 72 =
  34. 34.1111 × 1111 =
  35. 35.123456 × 8 + 6 =
  36. 36.12345679 × 63 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345679 × 27 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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