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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 207 · 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 × 54 =
  2. 2.12345679 × 72 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 6 =
  5. 5.111 × 111 =
  6. 6.37 × 24 =
  7. 7.37 × 27 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12345679 × 36 =
  10. 10.12345679 × 9 =
  11. 11.37 × 3 =
  12. 12.12345679 × 18 =
  13. 13.1111 × 1111 =
  14. 14.11 × 11 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 18 =
  17. 17.111111 × 111111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.123456789 × 8 + 9 =
  20. 20.123 × 9 + 4 =
  21. 21.11111 × 11111 =
  22. 22.12 × 9 + 3 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 27 =
  25. 25.37 × 15 =
  26. 26.37 × 21 =
  27. 27.12345 × 9 + 6 =
  28. 28.12345679 × 81 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 12 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 45 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 9 =
  35. 35.1111 × 1111 =
  36. 36.1111 × 1111 =
  37. 37.12345679 × 27 =
  38. 38.123456 × 8 + 6 =
  39. 39.12345679 × 9 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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